Log in

Relevant bibliographies by topics / Fermion interactions / Journal articles

Journal articles on the topic 'Fermion interactions'

To see the other types of publications on this topic, follow the link: Fermion interactions.

Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Fermion interactions.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

SESHAVATHARAM, U. V. S., and S. LAKSHMINARAYANA. "SUPER SYMMETRY IN STRONG AND WEAK INTERACTIONS." International Journal of Modern Physics E 19, no. 02 (February 2010): 263–80. http://dx.doi.org/10.1142/s021830131001473x.

Full text

Abstract:

For strong interaction two new fermion mass units 105.32 MeV and 11450 MeV are assumed. Existence of "Integral charge quark bosons", "Integral charge effective quark fermions", "Integral charge (effective) quark fermi-gluons" and "Integral charge quark boso-gluons" are assumed and their masses are estimated. It is noticed that, characteristic nuclear charged fermion is Xs · 105.32 = 938.8 MeV and corresponding charged boson is Xs(105.32/x) = 415.0 where Xs = 8.914 is the inverse of the strong coupling constant and x = 2.26234 is a new number by using which "super symmetry" can be seen in "strong and weak" interactions. 11450 MeV fermion and its boson of mass = 11450/x = 5060 MeV plays a crucial role in "sub quark physics" and "weak interaction". 938.8 MeV strong fermion seems to be the proton. 415 MeV strong boson seems to be the mother of the presently believed 493,496 and 547 MeV etc, strange mesons. With 11450 MeV fermion "effective quark-fermi-gluons" and with 5060 MeV boson "quark boso-gluon masses" are estimated. "Effective quark fermi-gluons" plays a crucial role in ground state charged baryons mass generation. Light quark bosons couple with these charged baryons to form doublets and triplets. "Quark boso-gluons" plays a crucial role in ground state neutral and charged mesons mass generation. Fine and super-fine rotational levels can be given by [I or (I/2)] power(1/4) and [I or (I/2)] power(1/12) respectively. Here, I = n(n+1) and n = 1, 2, 3, ….

APA, Harvard, Vancouver, ISO, and other styles

2

Lee, Cheng-Yang. "Symmetries and unitary interactions of mass dimension one fermionic dark matter." International Journal of Modern Physics A 31, no. 35 (December 18, 2016): 1650187. http://dx.doi.org/10.1142/s0217751x16501876.

Full text

Abstract:

The fermionic fields constructed from Elko have several unexpected properties. They satisfy the Klein–Gordon but not the Dirac equation and are of mass dimension one instead of three-half. Starting with the Klein–Gordon Lagrangian, we initiate a careful study of the symmetries and interactions of these fermions and their higher-spin generalizations. We find, although the fermions are of mass dimension one, the four-point fermionic self-interaction violates unitarity at high-energy so it cannot be a fundamental interaction of the theory. Using the optical theorem, we derive an explicit bound on energy for the fermion–scalar interaction. It follows that for the spin-half fermions, the demand of renormalizability and unitarity forbids four-point interactions and only allows for the Yukawa interaction. For fermions with spin [Formula: see text], they have no renormalizable or unitary interactions. Since the theory is described by a Klein–Gordon Lagrangian, the interaction generated by the local [Formula: see text] gauge symmetry which contains a four-point interaction, is excluded by the demand of renormalizability. In the context of the Standard Model, these properties make the spin-half fermions natural dark matter candidates. Finally, we discuss the recent developments on the introduction of new adjoint and spinor duals which may allow us to circumvent the unitarity constraints on the interactions.

APA, Harvard, Vancouver, ISO, and other styles

3

CORDOVA, NICOLAS J. "FRACTIONAL CHARGE IN 1+1, 2+1 AND 3+1 DIMENSIONS." Modern Physics Letters A 06, no. 33 (October 30, 1991): 3071–77. http://dx.doi.org/10.1142/s0217732391003560.

Full text

Abstract:

Fractional charge is analyzed in models containing massive fermions interacting with topologically non-trivial background fields in 1+1, 2+1 and 3+1 dimensions. It is found that the induced vacuum fermionic charge depends discontinuously on the fermion mass, when scalar interactions are involved.

APA, Harvard, Vancouver, ISO, and other styles

4

CASAS, M., A. PUENTE, A. RIGO, M. J. DAVIDSON, R. M. QUICK, M. FORTES, M. A. SOLIS, et al. "BEC-DRIVEN SUPERCONDUCTIVITY IN THE CUPRATES." International Journal of Modern Physics B 13, no. 29n31 (December 20, 1999): 3489–91. http://dx.doi.org/10.1142/s021797929900326x.

Full text

Abstract:

We apply to cuprates a three-fluid ideal boson-fermion statistical model of superconductivity in two dimensions (2D) derived from three extrema of the system Helmholtz free energy (subject to constant total fermion-number) for the BCS model interaction between fermions. The same interactions absent in BCS theory are neglected here. As the ensuing bosonic Cooper pairs move not in vacuum but in a Fermi sea we employ the correct linear — as opposed to the commonly-assumed quadratic — dispersion relation in the center-of-mass momentum (CMM). More importantly, pair breakup beyond a certain (very small) CMM is accounted for. Bose–Einstein condensation (BEC) critical temperatures of about 800 K result for moderate coupling with cuprate parameters.

APA, Harvard, Vancouver, ISO, and other styles

5

SHANKAR, R., and M. SIVAKUMAR. "BOSE-FERMI TRANSMUTATION 2+1 DIMENSIONS: EFFECT OF SELF-INTERACTIONS AND THE MAXWELL TERM." Modern Physics Letters A 06, no. 26 (August 30, 1991): 2379–87. http://dx.doi.org/10.1142/s0217732391002803.

Full text

Abstract:

We show the partition function of self-interacting charged scalar fields coupled with Abelian gauge fields governed by Maxwell-Chern-Simons action is equivalent in the long-wavelength approximation to that of a massive four-Fermi theory. The coupling constants and mass of the fermionic theory is explicitly related to those of the bosonic theory. The gauge invariant charged scalar current is shown to be transmuted to fermion current. The physical mass of the fermion is computed at the mean field level and shown to be finite at large self-coupling.

APA, Harvard, Vancouver, ISO, and other styles

6

GIROTTI, H. O. "CANONICAL QUANTIZATION OF THE SELF-DUAL MODEL COUPLED TO FERMIONS." International Journal of Modern Physics A 14, no. 16 (June 30, 1999): 2495–510. http://dx.doi.org/10.1142/s0217751x99001238.

Full text

Abstract:

This paper is devoted to formulating the interaction-picture dynamics of the self-dual field minimally coupled to fermions. As a preliminary, we quantize the free self-dual model by means of the Dirac-bracket quantization procedure. The free self-dual model turns out to be a relativistically invariant quantum field theory whose excitations are identical to the physical (gauge-invariant) excitations of the free Maxwell–Chern–Simons theory. The interacting model is also quantized through the Dirac-bracket quantization procedure. One of the self-dual field components is found not to commute, at equal times, with the fermionic fields. Hence, the formulation of the interaction-picture dynamics demands the elimination of that component. This procedure brings, in turn, two new interactions terms, which are local in space and time while nonrenormalizable by power counting. Relativistic invariance is tested in connection with the elastic fermion–fermion scattering amplitude. We prove that all the noncovariant pieces in the interaction Hamiltonian are equivalent to the covariant minimal interaction of the self-dual field with the fermions. The high-energy behavior of the self-dual field propagator confirms that the coupled theory is nonrenormalizable. The self-dual field minimally coupled to fermions bears no resemblance to the renormalizable model defined by the Maxwell–Chern–Simons field minimally coupled to fermions.

APA, Harvard, Vancouver, ISO, and other styles

7

Plastino, Angelo, Gustavo Luis Ferri, and Angel Ricardo Plastino. "Features of Fermion Dynamics Revealed by SU2 Symmetry." Symmetry 14, no. 10 (October 17, 2022): 2179. http://dx.doi.org/10.3390/sym14102179.

Full text

Abstract:

We deal here with the notion of statistical order and apply it to a system of interacting fermions endowed with an SU2 × SU2 symmetry. The discussion takes place in a thermal quantum statistical scenario. Two distinct fermion–fermion interactions are at play. One of them is a well-known spin–flip interaction. The other is the pairing interaction responsible for nuclear superconductivity. We used novel statistical quantifiers that yield insights regarding changes in the statistical order produced when the values of the pertinent coupling constants vary. In particular, we show that judicious manipulation of the energy cost associated with statistical order variations with the fermion number is the key to understanding important details of the associated dynamics.

APA, Harvard, Vancouver, ISO, and other styles

8

Capitani, Stefano, Giulia Maria de Divitiis, Petros Dimopoulos, Roberto Frezzotti, Marco Garofalo, Bastian Knippschild, Bartosz Kostrzewa, Ferenc Pittler, Giancarlo Rossi, and Carsten Urbach. "Testing a non-perturbative mechanism for elementary fermion mass generation: lattice setup." EPJ Web of Conferences 175 (2018): 08009. http://dx.doi.org/10.1051/epjconf/201817508009.

Full text

Abstract:

In this contribution we lay down a lattice setup that allows for the nonperturbative study of a field theoretical model where a SU(2) fermion doublet, subjected to non-Abelian gauge interactions, is also coupled to a complex scalar field doublet via a Yukawa and an “irrelevant” Wilson-like term. Using naive fermions in quenched approximation and based on the renormalizedWard identities induced by purely fermionic chiral transformations, lattice observables are discussed that enable: a) in theWigner phase, the determinations of the critical Yukawa coupling value where the purely fermionic chiral transformation become a symmetry up to lattice artifacts; b) in the Nambu-Goldstone phase of the resulting critical theory, a stringent test of the actual generation of a fermion mass term of non-perturbative origin. A soft twisted fermion mass term is introduced to circumvent the problem of exceptional configurations, and observables are then calculated in the limit of vanishing twisted mass.

APA, Harvard, Vancouver, ISO, and other styles

9

Jaroszewics, T., and P. S. Kurzepa. "Intersections of fermionic paths and four-fermion interactions." Physics Letters B 303, no. 3-4 (April 1993): 323–26. http://dx.doi.org/10.1016/0370-2693(93)91439-t.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

BRANT, S., N. YOSHIDA, and L. ZUFFI. "PROTON-NEUTRON INTERACTING BOSON-FERMION-FERMION MODEL AND THE EXCHANGE INTERACTIONS." International Journal of Modern Physics E 17, supp01 (December 2008): 373–85. http://dx.doi.org/10.1142/s0218301308011999.

Full text

Abstract:

The exchange interactions proper to the proton-neutron version of the interacting boson-fermion-fermion model are derived from the proton-neutron quadrupole-quadrupole interaction. The influence of the exchange interactions on the F-spin content of wave functions is analysed for a typical odd-odd nucleus.

APA, Harvard, Vancouver, ISO, and other styles

11

Ghosh, Sabyasachi. "A real-time thermal field theoretical analysis of Kubo-type shear viscosity: Numerical understanding with simple examples." International Journal of Modern Physics A 29, no. 10 (April 15, 2014): 1450054. http://dx.doi.org/10.1142/s0217751x14500547.

Full text

Abstract:

A real-time thermal field theoretical calculation of shear viscosity has been described in the Kubo formalism for bosonic and fermionic medium. The two-point function of viscous-stress tensor in the lowest order provides one-loop skeleton diagram of boson or fermion field for bosonic or fermionic matter. According to the traditional diagrammatic technique of transport coefficients, the finite thermal width of boson or fermion is introduced in their internal lines during the evaluation of boson–boson or fermion–fermion loop diagram. These thermal widths of ϕ boson and ψ fermion are respectively obtained from the imaginary part of self-energy for ϕΦ and ψΦ loops, where interactions of higher mass Φ boson with ϕ and ψ are governed by the simple ϕϕΦ and [Formula: see text] interaction Lagrangian densities. A two-loop diagram, having same power of coupling constant as in the one-loop diagram, is deduced and its contribution appears much lower than the one-loop values of shear viscosity. Therefore, the one-loop results of Kubo-type shear viscosity may be considered as leading order results for this simple ϕϕΦ and [Formula: see text] interactions. This approximation is valid for any values of coupling constant and at the temperatures greater than the mass of constituent particles of the medium.

APA, Harvard, Vancouver, ISO, and other styles

12

Zhang, Ying. "A unified Yukawa interaction for the Standard Model of quarks and leptons." Modern Physics Letters A 36, no. 27 (September 7, 2021): 2150196. http://dx.doi.org/10.1142/s0217732321501960.

Full text

Abstract:

To address fermion mass hierarchy and flavor mixings in the quark and lepton sectors, a minimal flavor structure without any redundant parameters beyond phenomenological observables is proposed via decomposition of the Standard Model Yukawa mass matrix into a bi-unitary form. After reviewing the roles and parameterization of the factorized matrix [Formula: see text] and [Formula: see text] in fermion masses and mixings, we generalize the mechanism to up- and down-type fermions to unify them into a universal quark/lepton Yukawa interaction. In the same way, a unified form of the description of the quark and lepton Yukawa interactions is also proposed, which shows a similar picture as the unification of gauge interactions.

APA, Harvard, Vancouver, ISO, and other styles

13

KOLEY, RATNA, and SAYAN KAR. "BULK PHANTOM FIELDS, INCREASING WARP FACTORS AND FERMION LOCALIZATION." Modern Physics Letters A 20, no. 05 (February 20, 2005): 363–71. http://dx.doi.org/10.1142/s0217732305015586.

Full text

Abstract:

A bulk phantom scalar field (with negative kinetic energy) in a sine–Gordon type potential is used to generate an exact thick brane solution with an increasing warp factor. It is shown that the growing nature of the warp factor allows the localization of massive as well as massless spin-1/2 fermions on the brane even without any additional non-gravitational interactions. The exact solutions for the localized massive fermionic modes are presented and discussed. The inclusion of a fermion–scalar Yukawa coupling appears to change the mass spectrum and wave functions of the localized fermion though it does not play the crucial role it did in the case of a decreasing warp factor.

APA, Harvard, Vancouver, ISO, and other styles

14

Adshead, Peter, Aike Liu, and Kaloian D. Lozanov. "Production and backreaction of massive fermions during axion inflation with non-Abelian gauge fields." Journal of Cosmology and Astroparticle Physics 2022, no. 09 (September 1, 2022): 043. http://dx.doi.org/10.1088/1475-7516/2022/09/043.

Full text

Abstract:

Abstract We study the production and backreaction of massive vector-like fermions in the background of a classical SU(2) gauge field during axion-driven inflation. We demonstrate all ultraviolet divergences due to the interactions with the fermions can be absorbed by renormalization of the axion wavefunction and the gauge coupling. The effects of the fermion-axion interaction vanish in the massless limit as required by symmetry. For very massive fermions, contact interactions are induced between the axion, the gauge field and the gravitational field. In this massive limit, we find the usual axion-gauge field interactions are induced, however, in addition we observe the appearance of axion self-interactions, as well as kinetic braiding of the axion with the Einstein tensor. These new axion derivative interactions present intriguing opportunities for model building and phenomenology.

APA, Harvard, Vancouver, ISO, and other styles

15

AXENIDES, MINOS, ANDREI JOHANSEN, and HOLGER BECH NIELSEN. "ON SPHALERON DEFORMATIONS INDUCED BY YUKAWA INTERACTIONS." Modern Physics Letters A 09, no. 17 (June 7, 1994): 1529–43. http://dx.doi.org/10.1142/s0217732394001374.

Full text

Abstract:

Due to the presence of the chiral anomaly sphalerons, half a number of Chern-Simons (CS=1/2) are the only static configurations that allow a fermion level crossing in the two-dimensional Abelian-Higgs model with massless fermions, i.e. in the absence of Yukawa interactions. In the presence of fermion-Higgs interactions we demonstrate the existence of zero energy solutions to the one-dimensional Dirac equation at deformed sphalerons with CS ≠ 1/2. Induced level crossing due to Yukawa interactions illustrates a non-trivial generalization of the Atiyah-Patodi-Singer index theorem and of the equivalence between parity anomaly in odd and chiral anomaly in even dimensions. We discuss a subtle manifestation of this effect in the standard electroweak theory at finite temperatures.

APA, Harvard, Vancouver, ISO, and other styles

16

Pennini, Flavia, Angelo Plastino, Gustavo Luis Ferri, and Angel Ricardo Plastino. "Energetic Cost of Statistical Order-Degree Change in a Fermions’ Set." Entropy 24, no. 6 (May 26, 2022): 752. http://dx.doi.org/10.3390/e24060752.

Full text

Abstract:

We discuss novel many-fermions thermodynamics’ features. They refer to the energy cost associated to order-disorder changes. Our thermal quantum statistical scenario is controlled by suitable fermion-fermion interactions. We deal with two well-known quantum interactions that operate within an exactly solvable model. This model is able to adequately describe some aspects of fermion-dynamics, particularly level-crossings. We describe things via employment of Gibbs’ canonical ensemble strictures. We show that judicious manipulation of the energy cost associated to statistical order (disorder) variations generates useful information-quantifiers. The underlying idea is that changes in the degree of order are intimately linked to level-crossings energetic costs.

APA, Harvard, Vancouver, ISO, and other styles

17

Butt, Nouman, Simon Catterall, and Goksu Can Toga. "Symmetric Mass Generation in Lattice Gauge Theory." Symmetry 13, no. 12 (November 30, 2021): 2276. http://dx.doi.org/10.3390/sym13122276.

Full text

Abstract:

We construct a four-dimensional lattice gauge theory in which fermions acquire mass without breaking symmetries as a result of gauge interactions. Our model consists of reduced staggered fermions transforming in the bifundamental representation of an SU(2)×SU(2) gauge symmetry. This fermion representation ensures that single-site bilinear mass terms vanish identically. A symmetric four-fermion operator is however allowed, and we give numerical results that show that a condensate of this operator develops in the vacuum.

APA, Harvard, Vancouver, ISO, and other styles

18

Stumpf, H. "Formfactors of Relativistic Composite Particle Interactions in Unified Nonlinear Spinorfield Models." Zeitschrift für Naturforschung A 40, no. 7 (July 1, 1985): 752–73. http://dx.doi.org/10.1515/zna-1985-0717.

Full text

Abstract:

Unified nonlinear spinorfield models are self-regularizing quantum field theories in which all observable (elementary and non-elementary) particles are assumed to be bound states of fermionic preon fields. Due to their large masses the preons themselves are confined and below the threshold of preon production the effective dynamics of the model is only concerned with bound state reactions. In preceding papers a functional energy representation, the statistical interpretation and the dynamical equations were derived and the effective dynamics for preon-antipreon boson states and three preon-fermion states (with corresponding anti-fermions) was studied in the low energy limit. The transformation of the functional energy representation of the spinorfield into composite particle functional operators produced a hierarchy of effective interactions at the composite particle level, the leading terms of which are identical with the functional energy representation of a phenomenological boson-fermion coupling theory. In this paper these calculations are extended into the high energy range. This leads to formfactors for the composite particle interaction terms which are calculated in a rough approximation and which in principle are observable. In addition, the mathematical and physical interpretation of nonlocal quantum field theories and the meaning of the mapping procedure, its relativistic invariance etc. are discussed.

APA, Harvard, Vancouver, ISO, and other styles

19

PRUDÊNCIO, THIAGO, and ÁLVARO FERRAZ. "CONFINEMENT AND QUANTUM ANOMALY IN QUASI-1D SPINLESS FERMION CHAINS." International Journal of Modern Physics B 27, no. 19 (July 15, 2013): 1350093. http://dx.doi.org/10.1142/s0217979213500938.

Full text

Abstract:

We consider the field renormalization group (RG) of two coupled one-spatial dimension (1D) spinless fermion chains under intraforward, interforward, interbackscattering and interumklapp interactions until two-loops order. Up to this order, we demonstrate the quantum confinement in the RG flow, where the interband chiral Fermi points reduce to single chiral Fermi points and the renormalized interaction couplings have Luttinger liquid fixed points. We show that this quasi-1D system is equivalently described in terms of one- and two-color interactions and address the problem of quantum anomaly, inherent to this system, as a direct consequence of coupling 1+1 free Dirac fields to one- and two-color interactions.

APA, Harvard, Vancouver, ISO, and other styles

20

OGAWA, TETSUO, and SATORU OKUMURA. "BOSONIZATION OF TWO-FERMION COMPOSITES WITH AN ARBITRARY INTERNAL MOTION: APPLICATION TO CORRELATED 1s EXCITON SYSTEMS." International Journal of Modern Physics B 15, no. 28n30 (December 10, 2001): 3916–19. http://dx.doi.org/10.1142/s0217979201008998.

Full text

Abstract:

We propose an exact bosonization scheme for two two-fermion composites with identical internal structures, that is, a mapping of the two-exciton (four-fermion) subspace to a two-boson subspace. We obtain analytical, exact expressions of the boson-boson interactions and the boson-photon ones taking into full account that the commutation relation of the composite bosons deviates from the ideal-boson commutation due to internal motions of the composite. We can distinguish the "composite-particle effects' from the Coulomb interactions among the fermions in the interactions. With this method, origins of optical nonlinearity in a system with two 1s excitons are studied in terms of the mutual excitonic correlations and exciton-photon interactions.

APA, Harvard, Vancouver, ISO, and other styles

21

YU, Y., Y. M. LI, and N. d’AMBRUMENIL. "BOSONIZATION FOR 2D INTERACTING FERMION SYSTEMS: NON-FERMI LIQUID BEHAVIOR." Modern Physics Letters B 08, no. 01 (January 10, 1994): 59–67. http://dx.doi.org/10.1142/s0217984994000078.

Full text

Abstract:

Non-Fermi liquid behavior is found for the first time in a two-dimensional (2D) system with nonsingular interactions using Haldane’s bosonization scheme. The bosonized system is solved exactly by a generalized Bogolubov transformation. The fermion momentum distribution, calculated using a generalized Mattis-Lieb technique, exhibits a nonuniversal power law in the vicinity of the Fermi surface for intermediate interaction strengths.

APA, Harvard, Vancouver, ISO, and other styles

22

Lu, Wei. "A Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies." International Journal of Modern Physics A 32, no. 26 (September 20, 2017): 1750159. http://dx.doi.org/10.1142/s0217751x17501597.

Full text

Abstract:

We propose a Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies in the context of composite Higgs bosons. Standard model fermions are represented by algebraic spinors of six-dimensional binary Clifford algebra, while ternary Clifford algebra-related flavor projection operators control allowable flavor-mixing interactions. There are three composite electroweak Higgs bosons resulted from top quark, tau neutrino, and tau lepton condensations. Each of the three condensations gives rise to masses of four different fermions. The fermion mass hierarchies within these three groups are determined by four-fermion condensations, which break two global chiral symmetries. The four-fermion condensations induce axion-like pseudo-Nambu–Goldstone bosons and can be dark matter candidates. In addition to the 125 GeV Higgs boson observed at the Large Hadron Collider, we anticipate detection of tau neutrino composite Higgs boson via the charm quark decay channel.

APA, Harvard, Vancouver, ISO, and other styles

23

Ort̆z, M. A., and R. M. Méndez-Moreno. "Fermion gas with screened interactions." Physical Review A 36, no. 2 (July 1, 1987): 888–91. http://dx.doi.org/10.1103/physreva.36.888.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Capstick, S., R. E. Cutkosky, M. A. Joensen, and K. C. Wang. "Coulomb interactions and fermion condensation." Physical Review D 42, no. 4 (August 15, 1990): 1270–75. http://dx.doi.org/10.1103/physrevd.42.1270.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Seshavatharam, U. V. S., and S. Lakshminarayana. "4G model of final unification – A brief report." Journal of Physics: Conference Series 2197, no. 1 (March 1, 2022): 012029. http://dx.doi.org/10.1088/1742-6596/2197/1/012029.

Full text

Abstract:

Abstract To understand the mystery of final unification, in our earlier publications, we proposed that, 1) There exist three atomic gravitational constants associated with electroweak, strong and electromagnetic interactions; 2) There exists a strong interaction elementary charge in such a way that, its squared ratio with normal elementary charge is close to reciprocal of the strong coupling constant; and 3) Considering a fermion-boson mass ratio of 2.27, quarks can be split into quark fermions and quark bosons. Further, we noticed that, electroweak field seems to be operated by a primordial massive fermion of rest energy 584.725 GeV and hadron masses seem to be generated by a new hadronic fermion of rest energy 103.4 GeV. In this context, starting from lepton rest masses to stellar masses, we have developed many interesting and workable relations. With further study, a workable model of final unification can be developed.

APA, Harvard, Vancouver, ISO, and other styles

26

JAROSZEWICZ, T., and P. S. KURZEPA. "DYSON-SCHWINGER EQUATIONS IN TERMS OF RANDOM WALKS: FOUR-FERMION INTERACTIONS." International Journal of Modern Physics A 08, no. 27 (October 30, 1993): 4915–35. http://dx.doi.org/10.1142/s0217751x93001934.

Full text

Abstract:

Quantum field theories of interacting fermions have been recently formulated in terms of directed random walks. Using this formulation, we derive a hierarchy of equations for the correlation functions of scalar N-component four-fermion theories. These follow from an analysis of the underlying random process, and from geometric considerations. Our equations are, as we show, equivalent to the standard Dyson-Schwinger equations of motion, and are a convenient starting point for nonperturbative investigations of four-fermion theories. In particular, we discuss the physical interpretation of the gap equation in the language of random walks, and show that, in both the N→0 and N→∞ limits, an interacting theory can be obtained only for a finely tuned negative bare coupling constant.

APA, Harvard, Vancouver, ISO, and other styles

27

Terekidi, A. G., J. W. Darewych, and M. Horbatsch. "Bound-state variational wave equation for fermion systems in quantum electrodynamics." Canadian Journal of Physics 85, no. 8 (July 1, 2007): 813–36. http://dx.doi.org/10.1139/p07-039.

Full text

Abstract:

We present a formulation of the Hamiltonian variational method for quantum electrodynamics (QED) that enables the derivation of a relativistic few-fermion wave equation that can account, at least in principle, for interactions to any order of the coupling constant. We derive a relativistic two-fermion wave equation using this approach. The interaction kernel of the equation is shown to be the generalized invariant [Formula: see text] matrix including all orders of Feynman diagrams. The result is obtained rigorously from the underlying quantum field theory (QFT) for an arbitrary mass ratio of the two fermions. Our approach is based on three key points: a reformulation of QED, the variational method, and adiabatic hypothesis. As an application, we calculate the one-loop contribution of radiative corrections to the two-fermion binding energy for singlet states with arbitrary principal quantum number n, and [Formula: see text] = J = 0. Our calculations are carried out in the explicitly covariant Feynman gauge.PACS Nos.: 12.20.–m

APA, Harvard, Vancouver, ISO, and other styles

28

GUENDELMAN, E. I., and A. B. KAGANOVICH. "GEOMETRICAL ORIGIN OF FERMION FAMILIES IN SU(2) × U(1) GAUGE THEORY." Modern Physics Letters A 17, no. 19 (June 21, 2002): 1227–37. http://dx.doi.org/10.1142/s0217732302007351.

Full text

Abstract:

A spontaneously broken SU (2) × U (1) gauge theory with just one "primordial" generation of fermions is formulated in the context of generally covariant theory which contains two measures of integration in the action: the standard [Formula: see text] and a new Φd4x, where Φ is a density built out of degrees of freedom independent of the metric. Such type of models are known to produce a satisfactory answer to the cosmological constant problem. Global scale invariance is implemented. After SSB of scale invariance and gauge symmetry it is found that with the conditions appropriate to laboratory particle physics experiments, to each primordial fermion field corresponds three physical fermionic states. Two of them correspond to particles with different constant masses and they are identified with the first two generations of the electroweak theory. The third fermionic states at the classical level get nonpolynomial interactions which indicate the existence of fermionic condensate and fermionic mass generation.

APA, Harvard, Vancouver, ISO, and other styles

29

Liu, Zi Hong, Gaopei Pan, Xiao Yan Xu, Kai Sun, and Zi Yang Meng. "Itinerant quantum critical point with fermion pockets and hotspots." Proceedings of the National Academy of Sciences 116, no. 34 (August 1, 2019): 16760–67. http://dx.doi.org/10.1073/pnas.1901751116.

Full text

Abstract:

Metallic quantum criticality is among the central themes in the understanding of correlated electronic systems, and converging results between analytical and numerical approaches are still under review. In this work, we develop a state-of-the-art large-scale quantum Monte Carlo simulation technique and systematically investigate the itinerant quantum critical point on a 2D square lattice with antiferromagnetic spin fluctuations at wavevector Q=(π,π)—a problem that resembles the Fermi surface setup and low-energy antiferromagnetic fluctuations in high-Tc cuprates and other critical metals, which might be relevant to their non–Fermi-liquid behaviors. System sizes of 60×60×320 (L×L×Lτ) are comfortably accessed, and the quantum critical scaling behaviors are revealed with unprecedented high precision. We found that the antiferromagnetic spin fluctuations introduce effective interactions among fermions and the fermions in return render the bare bosonic critical point into a different universality, different from both the bare Ising universality class and the Hertz–Mills–Moriya RPA prediction. At the quantum critical point, a finite anomalous dimension η∼0.125 is observed in the bosonic propagator, and fermions at hotspots evolve into a non-Fermi liquid. In the antiferromagnetically ordered metallic phase, fermion pockets are observed as the energy gap opens up at the hotspots. These results bridge the recent theoretical and numerical developments in metallic quantum criticality and can serve as the stepping stone toward final understanding of the 2D correlated fermions interacting with gapless critical excitations.

APA, Harvard, Vancouver, ISO, and other styles

30

Douçot, Benoit, Franco Nori, and R. Rammal. "FILLING LANDAU LEVELS: FERMI SEA GROUND STATE ENERGY, COMPETING INTERACTIONS AND MARGINAL DISPERSIONS IN GENERALIZED FLUX PHASES." International Journal of Modern Physics B 06, no. 05n06 (March 1992): 563–83. http://dx.doi.org/10.1142/s0217979292000347.

Full text

Abstract:

ABSTRACT: We review recent studies on the energetics of fermions confined to a two dimensional square lattice, and the relations of these results to mean-field approaches to the t−J model. Our goal has been to compute the kinetic energy of the Fermi sea of the spinless fermions for any value of the (1) fermion concentration, (2) magnetic flux, and (3) frustration. For the unfrustrated case, we confirm that the ground state energy, χ(Φ), is a minimum for Φ=π(1−δ), which corresponds to one flux quantum per spinless fermion. We then proceed to do a systematic study of frustration effects, coming from longer range couplings, which modify the picture obtained for the unfrustrated case. The frustrating influence of the kinetic energy of the holes (e.g., by breaking magnetic bonds and suppressing the long-range order present in the undoped systems) is the main focus of this work. We find that, in general, E(Φ) always exhibits cusp-like minima which position moves linearly as a function of the fermion density x. Frustration can induce a competition between different local minima. By first considering the local minima for one particle only, we can understand most of the qualitative features of E(Φ). These local minima occur at simple rational fractions of Φ0, and when the flux slightly deviates from these values a one-particle Landau level structure develops. It is precisely such a spectrum that generates a family of cusps that “move away” from the original flux value as x is increased. Every cusp corresponds to an integer number of filled Landau levels, and the minimum energy cusp corresponds to the one level case. Furthermore, we use perturbation theory, valid for low fermion density x, in order to analyze quantitatively the behavior of the cusp-like energy minima; which originate from the Landau level structure when the flux is close to a rational value. If the flux is slightly away from a given rational value [Formula: see text] each of the q subbands generates a secondary Landau level structure. We have derived a t2−t3 phase diagram indicating regions of similar behavior (i.e., adiabatic continuations can be performed with each region, preserving the E(Φ) structure) and the boundaries between them. We have studied several points belonging to those boundaries and found that anomalous behavior, (e.g., cancelation of the k2 term in the dispersion relation) induced by frustration, can occur.

APA, Harvard, Vancouver, ISO, and other styles

31

LUSANNA, LUCA, and PAOLO VALTANCOLI. "DIRAC'S OBSERVABLES FOR THE SU(3)×SU(2)×U(1) STANDARD MODEL." International Journal of Modern Physics A 13, no. 27 (October 30, 1998): 4605–90. http://dx.doi.org/10.1142/s0217751x98002213.

Full text

Abstract:

The missing complete Hamiltonian treatment of the standard SU(3) × SU(2) × U(1) model with Grassmann-valued fermion fields in the Higgs phase is given. We bypass the complications of the Hamiltonian theory in the Higgs phase, resulting from the spontaneous symmetry breaking with the Higgs mechanism, by studying the Hamiltonian formulation of the Higgs phase for the gauge-equivalent Lagrangian in the unitary gauge. A canonical basis of Dirac's observables is found and the reduced physical Hamiltonian is evaluated. Its self-energy part is nonlocal for the electromagnetic and strong interactions, but local for the weak ones. Therefore, the Fermi four-fermion interaction reappears at the nonperturbative level.

APA, Harvard, Vancouver, ISO, and other styles

32

Plastino, Angel Ricardo, Gustavo Luis Ferri, and Angelo Plastino. "Interaction between Different Kinds of Quantum Phase Transitions." Quantum Reports 3, no. 2 (April 6, 2021): 253–61. http://dx.doi.org/10.3390/quantum3020015.

Full text

Abstract:

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

APA, Harvard, Vancouver, ISO, and other styles

33

Kostyrko, T. "Effects of Coulomb Interactions Between Fermions on Superconductivity in Boson-Fermion Model." Acta Physica Polonica A 91, no. 2 (February 1997): 399–403. http://dx.doi.org/10.12693/aphyspola.91.399.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

RAJPOOT, S. "SEE-SAW MASSES FOR QUARKS AND LEPTONS IN AN AMBIDEXTROUS ELECTROWEAK INTERACTION MODEL." Modern Physics Letters A 02, no. 05 (May 1987): 307–15. http://dx.doi.org/10.1142/s0217732387000422.

Full text

Abstract:

An ambidextrous electroweak interaction model with SU (2)L× SU (2)R× U (1) gauge symmetry is described in which the conventional quarks and leptons are accompanied by a set of new fermions that transform as singlets of SU (2)L× SU (2)R. The model has only two doublets of Higgs scalars. The masses of all known quarks and leptons result from the see-saw mechanism between the conventional fermions and the new “singlet” fermions. Neutrino neutral current interactions are identical to those of the standard SU (2)L× U (1) model. The singlet fermion masses lie in the 100-GeV to 1-TeV range to be probed by the oncoming accelerators of the 1990’s.

APA, Harvard, Vancouver, ISO, and other styles

35

Cynolter, G., E. Lendvai, and G. Pócsik. "Fermion condensate model of electroweak interactions." European Physical Journal C 46, no. 2 (March 30, 2006): 545–49. http://dx.doi.org/10.1140/epjc/s2006-02512-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Kwon, H. J., A. Houghton, and J. B. Marston. "Gauge interactions and bosonized fermion liquids." Physical Review Letters 73, no. 2 (July 11, 1994): 284–87. http://dx.doi.org/10.1103/physrevlett.73.284.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

Leaw, Jia Ning, Ho-Kin Tang, Maxim Trushin, Fakher F. Assaad, and Shaffique Adam. "Universal Fermi-surface anisotropy renormalization for interacting Dirac fermions with long-range interactions." Proceedings of the National Academy of Sciences 116, no. 52 (December 9, 2019): 26431–34. http://dx.doi.org/10.1073/pnas.1913096116.

Full text

Abstract:

Recent experimental [I. Joet al.,Phys. Rev. Lett.119, 016402 (2017)] and numerical [M. Ippoliti, S. D. Geraedts, R. N. Bhatt,Phys. Rev. B95, 201104 (2017)] evidence suggests an intriguing universal relationship between the Fermi surface anisotropy of the noninteracting parent 2-dimensional (2D) electron gas and the strongly correlated composite Fermi liquid formed in a strong magnetic field close to half-filling. Inspired by these observations, we explore more generally the question of anisotropy renormalization in interacting 2D Fermi systems. Using a recently developed [H. -K. Tanget al.,Science361, 570 (2018)] nonperturbative and numerically exact projective quantum Monte Carlo simulation as well as other numerical and analytic techniques, only for Dirac fermions with long-range Coulomb interactions do we find a universal square-root decrease of the Fermi-surface anisotropy. For theν=1/2composite Fermi liquid, this result is surprising since a Dirac fermion ground state was only recently proposed as an alternative to the usual Halperin–Lee–Read state. Our proposed universality can be tested in several anisotropic Dirac materials including graphene, topological insulators, organic conductors, and magic-angle twisted bilayer graphene.

APA, Harvard, Vancouver, ISO, and other styles

38

GUIDA, RICCARDO, and KENICHI KONISHI. "FERMIONS IN THE INSTANTON-ANTI-INSTANTON VALLEY AND HIGH-ENERGY ELECTROWEAK INTERACTIONS." International Journal of Modern Physics A 09, no. 15 (June 20, 1994): 2613–44. http://dx.doi.org/10.1142/s0217751x94001059.

Full text

Abstract:

We consider the behavior of fermions in the background of instanton-anti-instanton valley fields. Several different physics problems, from the high-energy electroweak interactions to the study of vacuum structure of QCD and of large orders of perturbation theory, are related to this problem. The spectrum of the Dirac operator in such a background is studied in detail. We present an approximation for the fermion correlation function when the instanton-anti-instanton separation (R) is large compared to their sizes (ρ). The situation where the instanton-anti-instanton overlap and melt is studied through the behavior of the Chern-Simons number as a function of R/ρ and x4. Applying our results to widely discussed cases of fermion-number violation in the electroweak theory, we conclude that there is no theoretical basis for expecting anomalous cross-sections to become observable at energies in the 10 TeV region.

APA, Harvard, Vancouver, ISO, and other styles

39

Beck, D. H. "Neutron decay, dark matter and neutron stars." EPJ Web of Conferences 219 (2019): 05006. http://dx.doi.org/10.1051/epjconf/201921905006.

Full text

Abstract:

Following up on a suggestion that decay to a dark matter fermion might explain the 4σ discrepancy in the neutron lifetime, we consider the implications of such a fermion on neutron star structure. We find that including it reduces the maximum neutron star mass to well below the observed masses. In order to recover stars with the observed masses, the (repulsive) self-interactions of the dark fermion would have to be stronger than those of the nucleon-nucleon interaction.

APA, Harvard, Vancouver, ISO, and other styles

40

Hands, Simon. "The Planar Thirring Model with Kähler-Dirac Fermions." Symmetry 13, no. 8 (August 19, 2021): 1523. http://dx.doi.org/10.3390/sym13081523.

Full text

Abstract:

Kähler’s geometric approach in which relativistic fermion fields are treated as differential forms is applied in three spacetime dimensions. It is shown that the resulting continuum theory is invariant under global U(N)⊗U(N) field transformations and has a parity-invariant mass term, which are symmetries shared in common with staggered lattice fermions. The formalism is used to construct a version of the Thirring model with contact interactions between conserved Noether currents. Under reasonable assumptions about field rescaling after quantum corrections, a more general interaction term is derived, sharing the same symmetries but now including terms which entangle spin and taste degrees of freedom, which exactly coincides with the leading terms in the staggered lattice Thirring model in the long-wavelength limit. Finally, truncated versions of the theory are explored; it is found that excluding scalar and pseudoscalar components leads to a theory of six-component fermion fields describing particles with spin 1, with fermion and antifermion corresponding to states with definite circular polarisation. In the UV limit, only transverse states with just four non-vanishing components propagate. Implications for the description of dynamics at a strongly interacting renormalisation group fixed point are discussed.

APA, Harvard, Vancouver, ISO, and other styles

41

Ketterle, W., Y. Shin, A. Schirotzek, and C. H. Schunk. "SUPERFLUIDITY IN A GAS OF STRONGLY INTERACTING FERMIONS." International Journal of Modern Physics B 24, no. 20n21 (August 30, 2010): 3950–67. http://dx.doi.org/10.1142/s0217979210056402.

Full text

Abstract:

After an introduction into 100 years of research on superfluidity and the concept of the BCS-BEC crossover, we describe recent experimental studies of a spin-polarized Fermi gas with strong interactions. Tomographically resolving the spatial structure of an inhomogeneous trapped sample, we have mapped out the superfluid phases in the parameter space of temperature, spin polarization, and interaction strength. Phase separation between the superfluid and the normal component occurs at low temperatures, showing spatial discontinuities in the spin polarization. The critical polarization of the normal gas increases with stronger coupling. Beyond a critical interaction strength, all minority atoms pair with majority atoms, and the system can be effectively described as a boson-fermion mixture. Pairing correlations have been studied by RF spectroscopy, determining the fermion pair size and the pairing gap energy in a resonantly interacting superfluid.

APA, Harvard, Vancouver, ISO, and other styles

42

SARRAZIN, MICHAËL, and FABRICE PETIT. "MATTER LOCALIZATION AND RESONANT DECONFINEMENT IN A TWO-SHEETED SPACE–TIME." International Journal of Modern Physics A 22, no. 14n15 (June 20, 2007): 2629–41. http://dx.doi.org/10.1142/s0217751x07036774.

Full text

Abstract:

In recent papers, a model of a two-sheeted space–time M4 ×Z2 was introduced and the quantum dynamics of massive fermions was studied in this framework. In the present study, we show that the physical predictions of the model are perfectly consistent with observations and most importantly, it can solve the puzzling problem of the four-dimensional localization of the fermion species in multidimensional space–times. It is demonstrated that fermion localization on the sheets arises from the combination of the discrete bulk structure and environmental interactions. The mechanism described in this paper can be seen as an alternative to the domain wall localization arising in continuous five-dimensional space–times. Although tightly constrained, motions between the sheets are, however, not completely prohibited. As an illustration, a resonant mechanism through which fermion oscillations between the sheets might occur is described.

APA, Harvard, Vancouver, ISO, and other styles

43

GULOV, A. V., and V. V. SKALOZUB. "RENORMALIZABILITY AND SEARCHING FOR THE ABELIAN Z′ BOSON IN FOUR-FERMION PROCESSES." International Journal of Modern Physics A 16, no. 02 (January 20, 2001): 179–88. http://dx.doi.org/10.1142/s0217751x01002282.

Full text

Abstract:

A model independent search for Abelian Z′ gauge boson in four-fermion processes is analyzed. It is based on a low energy effective Lagrangian parametrizing the Z′ interactions with the fermion and scalar fields of the Standard Model. These parameters are related due to the requirement of renormalizability (gauge invariance). It is found that the absolute value of the Z′ coupling to the axial-vector currents is the same for all fermions and it is strongly correlated with the Z′ coupling to the scalar field. On the base of these relations the dependences between the parameters of the effective Lagrangian constructed from dimension-six operators are derived.

APA, Harvard, Vancouver, ISO, and other styles

44

Castillo-Felisola, Oscar, Cristobal Corral, Iván Schmidt, and Alfonso R. Zerwekh. "Updated limits on extra dimensions through torsion and LHC data." Modern Physics Letters A 29, no. 16 (May 25, 2014): 1450081. http://dx.doi.org/10.1142/s0217732314500813.

Full text

Abstract:

It is well known that the inclusion of torsion in the gravitational formalism, leads to four-fermion interactions. Although the coupling constant of this interaction is strongly suppressed in four dimensions, its value is enhanced in models with n extra dimensions. In this context, we reinterpret the recent limits established by LHC experiments to four-fermion contact interactions, to set bounds on the size of the extra dimensions. For n = 2, the limits are comparable to those in the literature, while for n ≥ 3, the volume of the extra dimensions is strongly constrained.

APA, Harvard, Vancouver, ISO, and other styles

45

Curro, N. J. "Hyperfine interactions in the heavy fermion CeMIn5systems." New Journal of Physics 8, no. 9 (September 1, 2006): 173. http://dx.doi.org/10.1088/1367-2630/8/9/173.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Civitarese, Osvaldo, and Marta Reboiro. "Fermion-boson interactions in a solvable model." Physical Review C 58, no. 5 (November 1, 1998): 2787–95. http://dx.doi.org/10.1103/physrevc.58.2787.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Radwanski, R. J., and Z. Ropka. "Quadrupolar interactions in heavy fermion metal YbRh2Si2." Physica B: Condensed Matter 359-361 (April 2005): 242–44. http://dx.doi.org/10.1016/j.physb.2005.01.049.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

He, Xiao-Gang, and Bruce McKellar. "Constraints on CP violating four-fermion interactions." Physics Letters B 390, no. 1-4 (January 1997): 318–22. http://dx.doi.org/10.1016/s0370-2693(96)01421-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Denner, A., H. Eck, O. Hahn, and J. Küblbeck. "Feynman rules for fermion-number-violating interactions." Nuclear Physics B 387, no. 2 (November 1992): 467–81. http://dx.doi.org/10.1016/0550-3213(92)90169-c.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Xi, Zheng-Min. "Fermion Interactions with a Kaluza-Klein Dyon." Europhysics Letters (EPL) 3, no. 2 (January 15, 1987): 157–62. http://dx.doi.org/10.1209/0295-5075/3/2/005.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!