Academic literature on the topic 'Lattice qcd; hadron structure; gauge field theory'
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Journal articles on the topic "Lattice qcd; hadron structure; gauge field theory"
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THOMAS, ANTHONY W., DEREK B. LEINWEBER, ROSS D. YOUNG, and STEWART V. WRIGHT. "QCD AND HADRON STRUCTURE." Modern Physics Letters A 18, no. 02n06 (February 28, 2003): 347–55. http://dx.doi.org/10.1142/s0217732303010478.
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There is considerable interest in the possibility of extracting model independent information on the masses and other properties of hadrons from lattice QCD, even though the state of the art involves light quark masses considerably higher than those found in nature. We review the applicability of effective field theory to this problem. Taking the rho meson as an example, we show that conventional, dimensionally regularized field theory is not sufficiently convergent to provide a reliable method of extrapolation. The reason for the poor convergence is discussed, along with the solution which this suggests. Finally we outline a very interesting suggestion of a connection between hadron masses in full and quenched QCD, using the nucleon and delta as examples.
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Adhikari, Prabal, and Jaehong Choi. "Magnetic vortices in the Abelian Higgs model with derivative interactions." International Journal of Modern Physics A 33, no. 36 (December 30, 2018): 1850215. http://dx.doi.org/10.1142/s0217751x18502159.
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We study the properties of a single magnetic vortex and magnetic vortex lattices in a generalization of the Abelian Higgs model containing the simplest derivative interaction that preserves the [Formula: see text] gauge symmetry of the original model. The paper is motivated by the study of finite isospin chiral perturbation theory in a uniform, external magnetic field: since pions are Goldstone bosons of QCD (due to chiral symmetry breaking by the QCD vacuum), they interact through momentum-dependent terms. We find the asymptotic properties of single vortex solutions and compare them to the well-known solutions of the standard Abelian Higgs model. Furthermore, we study the vortex lattice solutions near the upper critical field using the method of “successive approximations,” which was originally used by Abrikosov in his seminal paper on type-II superconductors. We find the vortex lattice structure, which remains hexagonal as in the standard Abelian Higgs model, and condensation energy of the vortex lattices relative to the normal vacuum (in a uniform magnetic field).
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Chandola, H. C., Deependra Singh Rawat, Dinesh Yadav, H. C. Pandey, and H. Dehnen. "Nonperturbative and Thermal Dynamics of Confined Fields in Dual QCD." Advances in High Energy Physics 2020 (July 9, 2020): 1–13. http://dx.doi.org/10.1155/2020/4240512.
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In order to study the detailed dynamics and associated nonperturbative features of QCD, a dual version of the color gauge theory based on a topologically viable homogeneous fibre bundle approach has been analysed taking into account its magnetic symmetry structure. In the dynamically broken phase of magnetic symmetry, the associated flux tube structure on a S2 sphere in the magnetically condensed state of the dual QCD vacuum has been analyzed for the profiles of the color electric field using flux quantization and stability conditions. The color electric field has its intimate association with the vector mode of the magnetically condensed QCD vacuum, and such field configurations have been analyzed to show that the color electric flux gets localized towards the poles for a large sphere case while it gets uniformly distributed for the small sphere case in the infrared sector of QCD. The critical flux tube densities have been computed for various couplings and are shown to be in agreement with that for lead-ion central collisions in the near infrared sector of QCD. The possible annihilation/unification of flux tubes under some typical flux tube density and temperature conditions in the magnetic symmetry broken phase of QCD has also been analyzed and shown to play an important role in the process of QGP formation. The thermal variation of the profiles of the color electic field is further investigated which indicates the survival of flux tubes even in the thermal domain that leads the possibility of the formation of some exotic states like QGP in the intermediate regime during the quark-hadron phase transition.
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WHITE, ALAN R. "ANALYTIC MULTI-REGGE THEORY AND THE POMERON IN QCD I: THE SUPER-CRITICAL POMERON." International Journal of Modern Physics A 06, no. 11 (May 10, 1991): 1859–959. http://dx.doi.org/10.1142/s0217751x91000976.
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The formalism of analytic multi-Regge theory is developed as a basis for the study of abstract critical and super-critical pomeron high-energy behavior and for related studies of the Regge behavior of spontaneously broken gauge theories and the pomeron in QCD. Asymptotic domains of analyticity for multiparticle amplitudes are shown to follow from properties of field theory and S-matrix theory. General asymptotic dispersion relations are then derived for such amplitudes in which the spectral components are described by the graphical formalism of hexagraphs. Further consequences are distinct Sommerfeld-Watson representations for each hexagraph spectral component, together with a complete set of angular momentum plane unitarity equations which control the form of all multi-Regge amplitudes. Because of this constraint of “reggeon unitarity” the critical pomeron solution of the reggeon field theory gives the only known “non-trivial” unitary high-energy S-matrix. By exploiting the full structure of multi-Regge amplitudes as the pomeron becomes super-critical, one can study the simultaneous modification of hadrons and the pomeron. The result is a completely consistent description of the super-critical pomeron appearing in hadron scattering. Reggeon unitarity is satisfied in the super-critical phase by the appearance of a massive “gluon” (Reggeized vector particle) coupling pair-wise to the pomeron.
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Baker, Marshall, Volodymyr Chelnokov, Leonardo Cosmai, Francesca Cuteri, and Alessandro Papa. "Field, current, and charge distribution in a pure gauge SU(3) flux tube." EPJ Web of Conferences 274 (2022): 02011. http://dx.doi.org/10.1051/epjconf/202227402011.
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The quark confinement in QCD is achieved by concentration of the chromoelectric field between the quark-antiquark pair into a flux tube, which gives rise to a linear quark-antiquark potential. We study the structure of the flux tube created by a static quark-antiquark pair in the pure gauge SU(3) theory, using lattice Monte-Carlo simulations. We calculate the spatial distribution of all three components of the chromoelectric field and perform the “zero curl subtraction” procedure to obtain the nonperturbative part of the longitudinal component of the field, which we identify as the part responsible for the formation of the flux tube. Taking the spatial derivatives of the obtained field allows us to extract the electric charge and magnetic current densities in the flux tube. The behavior of these observables under smearing and with respect to continuum scaling is investigated. Finally, we briefly discuss the role of magnetic currents in the formation of the string tension.
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Ma, Yong-Liang, and Mannque Rho. "Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions: Topological Structure of Dense Matter." Symmetry 13, no. 10 (October 7, 2021): 1888. http://dx.doi.org/10.3390/sym13101888.
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We review a new development on the possible direct connection between the topological structure of the Nf=1 baryon as a FQH droplet and that of the Nf≥2 baryons (such as nucleons and hyperons) as skyrmions. This development suggests a possible “domain-wall (DW)” structure of compressed baryonic matter at high density expected to be found in the core of massive compact stars. Our theoretical framework is anchored on an effective nuclear effective field theory that incorporates two symmetries either hidden in the vacuum in QCD or emergent from strong nuclear correlations. It presents a basically different, hitherto undiscovered structure of nuclear matter at low as well as high densities. Hidden “genuine dilaton (GD)” symmetry and hidden local symmetry (HLS) gauge-equivalent at low density to nonlinear sigma model capturing chiral symmetry, put together in nuclear effective field theory, are seen to play an increasingly important role in providing hadron–quark duality in baryonic matter. It is argued that the FQH droplets could actually figure essentially in the properties of the vector mesons endowed with HLS near chiral restoration. This strongly motivates incorporating both symmetries in formulating “first-principles” approaches to nuclear dynamics encompassing from the nuclear matter density to the highest density stable in the Universe.
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Consoli, Maurizio, and Leonardo Cosmai. "The mass scales of the Higgs field." International Journal of Modern Physics A 35, no. 20 (July 15, 2020): 2050103. http://dx.doi.org/10.1142/s0217751x20501031.
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In the first version of the theory, with a classical scalar potential, the sector inducing SSB was distinct from the Higgs field interactions induced through its gauge and Yukawa couplings. We have adopted a similar perspective but, following most recent lattice simulations, described SSB in [Formula: see text] theory as a weak first-order phase transition. In this case, the resulting effective potential has two mass scales: (i) a lower mass [Formula: see text], defined by its quadratic shape at the minima, and (ii) a larger mass [Formula: see text], defined by the zero-point energy. These refer to different momentum scales in the propagator and are related by [Formula: see text], where [Formula: see text] is the ultraviolet cutoff of the scalar sector. We have checked this two-scale structure with lattice simulations of the propagator and of the susceptibility in the 4D Ising limit of the theory. These indicate that, in a cutoff theory where both [Formula: see text] and [Formula: see text] are finite, by increasing the energy, there could be a transition from a relatively low value, e.g. [Formula: see text] GeV, to a much larger [Formula: see text]. The same lattice data give a final estimate [Formula: see text] GeV which induces to reconsider the experimental situation at Large Hadron Collider (LHC). In particular an independent analysis of the ATLAS[Formula: see text]+[Formula: see text]CMS data indicating an excess in the 4-lepton channel as if there were a new scalar resonance around 700 GeV. Finally, the presence of two vastly different mass scales, requiring an interpolating form for the Higgs field propagator also in loop corrections, could reduce the discrepancy with those precise measurements which still favor large values of the Higgs particle mass.
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Ma, Yong-Liang, Masayasu Harada, Hyun Kyu Lee, Yongseok Oh, and Mannque Rho. "Skyrmions, half-skyrmions and nucleon mass in dense baryonic matter." International Journal of Modern Physics: Conference Series 29 (January 2014): 1460238. http://dx.doi.org/10.1142/s2010194514602385.
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We explore the hadron properties in dense baryonic matter in a unified way by using a Skyrme model constructed with an effective Lagrangian which includes the ρ and ω vector mesons as hidden gauge bosons and is valid up to O(p4) in chiral expansion including the homogeneous Wess-Zumino terms. With the two input values of pion decay constant and the lowest lying vector meson mass which can be fixed in free space, all the other low energy constants in the effective Lagrangian are determined by their master formulas derived from holographic QCD models, which allows us to study the baryonic matter properties with no additional free parameters and thus without ambiguities. We find that the ω field that figures in the homogeneous Wess-Zumino term plays a crucial role in the skyrmion structure and its matter properties. The most striking and intriguing observation is that the pion decay constant that smoothly drops with increasing density in the Skyrmion phase stops decreasing at n1/2 at which the skyrmions in medium fractionize into half-skyrmions and remains nearly constant in the half-skyrmion phase. In accordance with the large Nc consideration, the baryon mass also stays non-scaling in the half-skyrmion phase. This feature is supported by the nuclear effective field theory with the parameters of the Lagrangian scaling modified at the skyrmion–half-skyrmion phase transition. Our exploration also uncovers the crucial role of the ω meson in multi-baryon systems as well as in the structure of a single skyrmion.
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Akiyama, Shinichiro, and Yoshinobu Kuramashi. "Tensor renormalization group study of (3+1)-dimensional ℤ2 gauge-Higgs model at finite density." Journal of High Energy Physics 2022, no. 5 (May 2022). http://dx.doi.org/10.1007/jhep05(2022)102.
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Abstract We investigate the critical endpoints of the (3+1)-dimensional ℤ2 gauge-Higgs model at finite density together with the (2+1)-dimensional one at zero density as a benchmark using the tensor renormalization group method. We focus on the phase transition between the Higgs phase and the confinement phase at finite chemical potential along the critical end line. In the (2+1)-dimensional model, the resulting endpoint is consistent with a recent numerical estimate by the Monte Carlo simulation. In the (3+1)-dimensional case, however, the location of the critical endpoint shows disagreement with the known estimates by the mean-field approximation and the Monte Carlo studies. This is the first application of the tensor renormalization group method to a four-dimensional lattice gauge theory and a key stepping stone toward the future investigation of the phase structure of the finite density QCD.
Dissertations / Theses on the topic "Lattice qcd; hadron structure; gauge field theory"
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Primer, Thomas James. "Magnetic properties of the nucleon in a uniform background field." Thesis, 2013. http://hdl.handle.net/2440/83782.
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We present a calculation of the magnetic moment and magnetic polarisability of the nucleon. The calculation is performed using the background field method of lattice QCD. Dynamical results are from 32³ x 64 configurations with 2+1 flavours of quark provided by the PACS-CS group through the ILDG. These lattices use a clover fermion action and Iwasaki gauge action with β = 1:9 and physical lattice spacing α = 0:0907(13) fm. Quenched results come from 32³ x 40 lattices using a FLIC fermion action and Symanzik improved gauge action with β = 3:2 and α = 0:127 fm. The Landau energy is a crucial effect in the calculation of magnetic polarisabilities for charged particles. We derive the Landau levels and show their effect using examples of proton energy shifts in a background field. Next we investigate the effects of moving the origin of the background gauge potential. This procedure looks similar to the technique of twisted boundary conditions, but we explain how for a quantised background field there is no change in the physical states, and show evidence using tree level calculations. We present magnetic moment calculations for the proton and neutron, with a comparison between quenched and dynamical background field results as well as three point function results. We use the variational method in order to isolate excited states so that we can present results for the magnetic moment of the lowest lying odd-parity proton and neutron states. Finally we present a calculation of the magnetic polarisability of the neutron. We investigate ways of improving the plateau behaviour of the energy shift, including the use of a variational analysis with a variety of source and sink smearings. Results are compared with experimental values.Thesis (Ph.D.) -- University of Adelaide, School of Chemistry and Physics, 2013
Conference papers on the topic "Lattice qcd; hadron structure; gauge field theory"
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Lin, Huey-Wen. "Lattice Hadron Structure: Applications within and beyond QCD." In The 30th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.164.0013.
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Renner, Dru. "Status and prospects for the calculation of hadron structure from lattice QCD." In The XXVII International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2010. http://dx.doi.org/10.22323/1.091.0018.
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