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Journal articles on the topic 'Yang-Mills matrix model'

Author: Grafiati

Published: 6 September 2023

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1

Aoki, Hajime, Nobuyuki Ishibashi, Satoshi Iso, Hikaru Kawai, Yoshihisa Kitazawa, and Tsukasa Tada. "Non-commutative Yang–Mills in IIB matrix model." Nuclear Physics B 565, no. 1-2 (2000): 176–92. http://dx.doi.org/10.1016/s0550-3213(99)00633-1.

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2

Pandey, Mahul, and Sachindeo Vaidya. "Yang–Mills matrix mechanics and quantum phases." International Journal of Geometric Methods in Modern Physics 14, no. 08 (2017): 1740009. http://dx.doi.org/10.1142/s0219887817400096.

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The [Formula: see text] Yang–Mills matrix model coupled to fundamental fermions is studied in the adiabatic limit, and quantum critical behavior is seen at special corners of the gauge field configuration space. The quantum scalar potential for the gauge field induced by the fermions diverges at the corners, and is intimately related to points of enhanced degeneracy of the fermionic Hamiltonian. This in turn leads to superselection sectors in the Hilbert space of the gauge field, the ground states in different sectors being orthogonal to each other. The [Formula: see text] Yang–Mills matrix mo

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3

Siegel, W. "Super Yang-Mills theory as a random matrix model." Physical Review D 52, no. 2 (1995): 1035–41. http://dx.doi.org/10.1103/physrevd.52.1035.

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4

Kimura, Yusuke, and Yoshihisa Kitazawa. "Supercurrent interactions in noncommutative Yang–Mills and IIB matrix model." Nuclear Physics B 598, no. 1-2 (2001): 73–86. http://dx.doi.org/10.1016/s0550-3213(00)00785-9.

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5

Xu, Feng. "A Random Matrix Model From Two Dimensional Yang-Mills Theory." Communications in Mathematical Physics 190, no. 2 (1997): 287–307. http://dx.doi.org/10.1007/s002200050242.

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6

Acharyya, Nirmalendu, A. P. Balachandran, Mahul Pandey, Sambuddha Sanyal, and Sachindeo Vaidya. "Glueball spectra from a matrix model of pure Yang–Mills theory." International Journal of Modern Physics A 33, no. 13 (2018): 1850073. http://dx.doi.org/10.1142/s0217751x18500732.

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We present variational estimates for the low-lying energies of a simple matrix model that approximates SU(3) Yang–Mills theory on a three-sphere of radius R. By fixing the ground state energy, we obtain the (integrated) renormalization group (RG) equation for the Yang–Mills coupling g as a function of R. This RG equation allows to estimate the mass of other glueball states, which we find to be in excellent agreement with lattice simulations.

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7

CHAN, HONG-MO. "YANG–MILLS DUALITY AS THE ORIGIN OF FERMION GENERATIONS." Modern Physics Letters A 18, no. 08 (2003): 537–43. http://dx.doi.org/10.1142/s0217732303009629.

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A non-Abelian extension of electric-magnetic duality implies that dual to confined colour SU(3), there also ought to be a broken threefold symmetry which can play the role of fermion generations. A model constructed on these premises not only gives a raison d'être for 3 and only 3 generations as observed but also offers a natural explanation for the distinctive fermion mass and mixing patterns seen in experiment. A calculation to one-loop order in this model with only 3 fitted parameters already gives correct values, all within present experimental errors, for the following quantities: the mas

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8

Pandey, Mahul, and Sachindeo Vaidya. "Quantum phases of Yang-Mills matrix model coupled to fundamental fermions." Journal of Mathematical Physics 58, no. 2 (2017): 022103. http://dx.doi.org/10.1063/1.4976503.

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9

Kawamoto, Shoichi, and Dan Tomino. "A renormalization group approach to a Yang–Mills two matrix model." Nuclear Physics B 877, no. 3 (2013): 825–51. http://dx.doi.org/10.1016/j.nuclphysb.2013.10.021.

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10

PANZERI, STEFANO. "THE c=1 MATRIX MODEL FORMULATION OF TWO-DIMENSIONAL YANG-MILLS THEORIES." Modern Physics Letters A 08, no. 33 (1993): 3201–14. http://dx.doi.org/10.1142/s0217732393002130.

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We find the exact matrix model description of two-dimensional Yang-Mills theories on a cylinder or on a torus and with an arbitrary semisimple compact gauge group. This matrix model is the singlet sector of a c=1 matrix model where the matrix field is in the fundamental representation of the gauge group. We also prove that the basic constituents of the theory are Sutherland fermions in the zero coupling limit, and this leads to an interesting connection between two-dimensional gauge theories and one-dimensional integrable systems. In particular we derive for all the classical groups the exact

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11

Szabo, Richard J., and Miguel Tierz. "Chern–Simons matrix models, two-dimensional Yang–Mills theory and the Sutherland model." Journal of Physics A: Mathematical and Theoretical 43, no. 26 (2010): 265401. http://dx.doi.org/10.1088/1751-8113/43/26/265401.

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12

ARNONE, S., G. DI SEGNI, M. SICCARDI, and K. YOSHIDA. "${\mathcal N}=1^*$ MODEL SUPERPOTENTIAL REVISITED (IR BEHAVIOR OF ${\mathcal N}=4$ LIMIT)." International Journal of Modern Physics A 22, no. 28 (2007): 5089–115. http://dx.doi.org/10.1142/s0217751x07037998.

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The one-loop contribution to the superpotential, in particular the Veneziano–Yankielowicz potential in [Formula: see text] supersymmetric Yang–Mills model is discussed from an elementary field theory method and the matrix model point of view. Both approaches are based on the renormalization group variation of the superconformal [Formula: see text] supersymmetric Yang–Mills model.

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13

Kogan, I. I., R. J. Szabo, and G. W. Semenoff. "D-Brane Configurations and Nicolai Map in Supersymmetric Yang–Mills Theory." Modern Physics Letters A 12, no. 03 (1997): 183–93. http://dx.doi.org/10.1142/s0217732397000182.

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We discuss some properties of a supersymmetric matrix model that is the dimensional reduction of supersymmetric Yang–Mills theory in 10 dimensions and which has been recently argued to represent the short-distance structure of M-theory in the infinite momentum frame. We describe a reduced version of the matrix quantum mechanics and derive the Nicolai map of the simplified supersymmetric matrix model. We use this to argue that there are no phase transitions in the large-N limit, and hence that S-duality is preserved in the full 11-dimensional theory.

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14

POPOV, ALEXANDER D. "BOUNCES/DYONS IN THE PLANE WAVE MATRIX MODEL AND SU(N) YANG–MILLS THEORY." Modern Physics Letters A 24, no. 05 (2009): 349–59. http://dx.doi.org/10.1142/s0217732309030163.

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We consider SU (N) Yang–Mills theory on the space ℝ × S3 with Minkowski signature (-+++). The condition of SO(4)-invariance imposed on gauge fields yields a bosonic matrix model which is a consistent truncation of the plane wave matrix model. For matrices parametrized by a scalar ϕ, the Yang–Mills equations are reduced to the equation of a particle moving in the double-well potential. The classical solution is a bounce, i.e. a particle which begins at the saddle point ϕ = 0 of the potential, bounces off the potential wall and returns to ϕ = 0. The gauge field tensor components parametrized by

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15

CHEN, B., H. ITOYAMA, and H. KIHARA. "NON-ABELIAN BERRY PHASE, YANG–MILLS INSTANTON AND USp(2k) MATRIX MODEL." Modern Physics Letters A 14, no. 13 (1999): 869–77. http://dx.doi.org/10.1142/s0217732399000924.

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The non-Abelian Berry phase is computed in the T dualized quantum mechanics obtained from the USp (2k) matrix model. Integrating the fermions, we find that each of the space–time points [Formula: see text] is equipped with a pair of su(2) Lie algebra valued pointlike singularities located at a distance m(f) from the orientifold surface. On a four-dimensional paraboloid embedded in the five-dimensional Euclidean space, these singularities are recognized as the BPST instantons.

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16

Balachandran, A. P., Sachindeo Vaidya, and Amilcar R. de Queiroz. "A matrix model for QCD." Modern Physics Letters A 30, no. 16 (2015): 1550080. http://dx.doi.org/10.1142/s0217732315500807.

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Gribov's observation that global gauge fixing is impossible has led to suggestions that there may be a deep connection between gauge fixing and confinement. We find an unexpected relation between the topological nontriviality of the gauge bundle and colored states in SU (N) Yang–Mills theory, and show that such states are necessarily impure. We approximate QCD by a rectangular matrix model that captures the essential topological features of the gauge bundle, and demonstrate the impure nature of colored states explicitly. Our matrix model also allows the inclusion of the QCD θ-term, as well as

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17

HSU, JONG-PING. "A UNIFIED GRAVITY-ELECTROWEAK MODEL BASED ON A GENERALIZED YANG–MILLS FRAMEWORK." Modern Physics Letters A 26, no. 23 (2011): 1707–18. http://dx.doi.org/10.1142/s021773231103619x.

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Gravitational and electroweak interactions can be unified in analogy with the unification in the Weinberg–Salam theory. The Yang–Mills framework is generalized to include spacetime translational group T(4), whose generators Tμ ( = ∂/∂xμ) do not have constant matrix representations. By gauging T(4) × SU (2) × U (1) in flat spacetime, we have a new tensor field ϕμν which universally couples to all particles and anti-particles with the same constant g, which has the dimension of length. In this unified model, the T(4) gauge symmetry dictates that all wave equations of fermions, massive bosons and

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18

SATHIAPALAN, B. "THE HAGEDORN TRANSITION AND THE MATRIX MODEL FOR STRINGS." Modern Physics Letters A 13, no. 26 (1998): 2085–94. http://dx.doi.org/10.1142/s0217732398002205.

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We use the matrix formalism to investigate what happens to strings above the Hagedorn temperature. We show that is not a limiting temperature but a temperature at which the continuum string picture breaks down. We study a collection of N D-0-branes arranged to form a string having N units of light-cone momentum. We find that at high temperatures the favored phase is one where the string worldsheet has disappeared and the low-energy degrees of freedom consists of N2 massless particles ("gluons"). The nature of the transition is very similar to the deconfinement transition in large-N Yang–Mills

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19

KAWAI, HIKARU, and MATSUO SATO. "PERTURBATIVE VACUA FROM IIB MATRIX MODEL." International Journal of Modern Physics A 23, no. 14n15 (2008): 2279–80. http://dx.doi.org/10.1142/s0217751x08041086.

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It has not been clarified whether a matrix model can describe various vacua of string theory. In this talk, we show that the IIB matrix model includes type IIA string theory1. In the naive large N limit of the IIB matrix model, configurations consisting of simultaneously diagonalizable matrices form a moduli space, although the unique vacuum would be determined by complicated dynamics. This moduli space should correspond to a part of perturbatively stable vacua of string theory. Actually, one point on the moduli space represents type IIA string theory. Instead of integrating over the moduli sp

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20

FERRARI, FRANK. "THE MICROSCOPIC APPROACH TO $\mathcal{N} = 1$ SUPER YANG-MILLS THEORIES." International Journal of Modern Physics A 23, no. 14n15 (2008): 2307–23. http://dx.doi.org/10.1142/s0217751x08041153.

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We give a brief account of the recent progresses in super Yang-Mills theories based in particular on the application of Nekrasov's instanton technology to the case of [Formula: see text] supersymmetry. We have developed a first-principle formalism from which any chiral observable in the theory can be computed, including in strongly coupled confining vacua. The correlators are first expressed in terms of some external variables as sums over colored partitions. The external variables are then fixed to their physical values by extremizing the microscopic quantum superpotential. Remarquably, the r

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21

Chan, Hong-Mo, and Sheung Tsun Tsou. "The framed Standard Model (I) — A physics case for framing the Yang–Mills theory?" International Journal of Modern Physics A 30, no. 30 (2015): 1530059. http://dx.doi.org/10.1142/s0217751x15300598.

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Introducing, in the underlying gauge theory of the Standard Model, the frame vectors in internal space as field variables (framons), in addition to the usual gauge boson and matter fermions fields, one obtains: the standard Higgs scalar as the framon in the electroweak sector; a global [Formula: see text] symmetry dual to colour to play the role of fermion generations. Renormalization via framon loops changes the orientation in generation space of the vacuum, hence also of the mass matrices of leptons and quarks, thus making them rotate with changing scale [Formula: see text]. From previous wo

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22

ANAGNOSTOPOULOS, K. N., W. BIETENHOLZ, and J. NISHIMURA. "THE AREA LAW IN MATRIX MODELS FOR LARGE N QCD STRINGS." International Journal of Modern Physics C 13, no. 04 (2002): 555–63. http://dx.doi.org/10.1142/s0129183102003334.

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We study the question whether matrix models obtained in the zero volume limit of 4d Yang–Mills theories can describe large N QCD strings. The matrix model we use is a variant of the Eguchi–Kawai model in terms of Hermitian matrices, but without any twists or quenching. This model was originally proposed as a toy model of the IIB matrix model. In contrast to common expectations, we do observe the area law for Wilson loops in a significant range of scale of the loop area. Numerical simulations show that this range is stable as N increases up to 768, which strongly suggests that it persists in th

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23

Castro, Carlos. "A Clifford algebra-based grand unification program of gravity and the Standard Model: a review study." Canadian Journal of Physics 92, no. 12 (2014): 1501–27. http://dx.doi.org/10.1139/cjp-2013-0686.

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A Clifford Cl(5, C) unified gauge field theory formulation of conformal gravity and U(4) × U(4) × U(4) Yang–Mills in 4D, is reviewed along with its implications for the Pati–Salam (PS) group SU(4) × SU(2)L × SU(2)R, and trinification grand unified theory models of three fermion generations based on the group SU(3)C × SU(3)L × SU(3)R. We proceed with a brief review of a unification program of 4D gravity and SU(3) × SU(2) × U(1) Yang–Mills emerging from 8D pure quaternionic gravity. A realization of E8 in terms of the Cl(16) = Cl(8) ⊗ Cl(8) generators follows, as a preamble to F. Smith’s E8 and

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24

SUGINO, FUMIHIKO. "COHOMOLOGICAL FIELD THEORY APPROACH TO MATRIX STRINGS." International Journal of Modern Physics A 14, no. 25 (1999): 3979–4002. http://dx.doi.org/10.1142/s0217751x99001871.

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In this paper we consider IIA and IIB matrix string theories which are defined by two-dimensional and three-dimensional super Yang–Mills theory with the maximal supersymmetry, respectively. We exactly compute the partition function of both of the theories by mapping to a cohomological field theory. Our result for the IIA matrix string theory coincides with the result obtained in the infrared limit by Kostov and Vanhove, and thus gives a proof of the exact quasiclassics conjectured by them. Further, our result for the IIB matrix string theory coincides with the exact result of IKKT model by Moo

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25

STEINACKER, HAROLD. "NON-COMMUTATIVE GAUGE THEORY ON FUZZY ℂP2". Modern Physics Letters A 20, № 17n18 (2005): 1345–57. http://dx.doi.org/10.1142/s0217732305017809.

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Gauge theory on fuzzy ℂP2 can be defined as a multi-matrix model, which consistently combines a UV cutoff with the classical symmetries of ℂP2. The degrees of freedom are 8 hermitian matrices of finite size, 4 of which are tangential gauge fields and 4 are auxiliary variables. The model depends on a noncommutativity parameter [Formula: see text], and reduces to the usual U(n) Yang-Mills action on the 4-dimensional classical ℂP2 in the limit N→∞. The quantization of the model is defined in terms of a path integral, which is manifestly finite.

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26

Vizgin, Vladimir P. "“Comedy of mistakes” and “drama of humans”: on the domestic contribution to the creation of The Standard Model of elemantary particle in physics." Science management: theory and practice 2, no. 3 (2020): 196–224. http://dx.doi.org/10.19181/smtp.2020.2.3.11.

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The article explores domestic contribution to the creation of The Standard Model (SM). SM is a quantum field gauge theory of electromagnetic, weak and strong interactions, which is the basis of the modern theory of elementary particles. The process of its development covers a twenty-year period – from 1954 (the concept of non-Abelian Yang-Mills gauge fields) to the early 1970s, when the construction of renormalizable quantum chromodynamics and electroweak theory was completed. The reasons for the difficult perception of the Yang-Mills gauge field concept in the USSR are analyzed, associated pr

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27

López-Picón, José Luis, Octavio Obregón, and José Ríos-Padilla. "A Proposal to Solve Finite N Matrix Theory: Reduced Model Related to Quantum Cosmology." Universe 8, no. 8 (2022): 418. http://dx.doi.org/10.3390/universe8080418.

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The SU(N) invariant model of matrix theory that emerges as the regularization of the 11-dimensional super membrane is studied. This matrix model is identified with M theory in the limit N→∞. It has been conjectured that matrix models are also relevant for finite N where several examples and arguments have been given in the literature. By the use of a Dirac-like formulation usually developed in finding solutions in Supersymmetric Quantum Cosmology, we exhibit a method that could solve, in principle, any finite N model. As an example of our procedure, we choose a reduced SU(2) model and also sho

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28

Varshovi, Amir Abbass. "⋆-cohomology, third type Chern character and anomalies in general translation-invariant noncommutative Yang–Mills." International Journal of Geometric Methods in Modern Physics 18, no. 06 (2021): 2150089. http://dx.doi.org/10.1142/s0219887821500894.

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A representation of general translation-invariant star products ⋆ in the algebra of [Formula: see text] is introduced which results in the Moyal–Weyl–Wigner quantization. It provides a matrix model for general translation-invariant noncommutative quantum field theories in terms of the noncommutative calculus on differential graded algebras. Upon this machinery a cohomology theory, the so-called ⋆-cohomology, with groups [Formula: see text], [Formula: see text], is worked out which provides a cohomological framework to formulate general translation-invariant noncommutative quantum field theorie

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29

ISHIKI, GORO. "MATRIX REGULARIZATION OF N = 4 SYM ON R × S3." International Journal of Modern Physics A 23, no. 14n15 (2008): 2199–200. http://dx.doi.org/10.1142/s0217751x08040834.

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We revealed a relationship between the plane wave matrix model (PWMM) and N =4 super Yang-Mills (SYM) theory on R × S3: N =4 SYM on R × S3 is equivalent to the theory around a certain vacuum of PWMM. It is suggested from this relation that N =4 SYM on R × S3 is regularized by PWMM in the planar limit. Because PWMM originally possesses the gauge symmetry and SU(2|4) symmetry, this regularization also preserves these symmetries. In order to check the validity of this matrix regularization method, we calculate the Ward identity and the beta function at the 1-loop level. We find that the Ward iden

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30

KRISHNASWAMI, GOVIND S. "2 + 1 ABELIAN "GAUGE THEORY" INSPIRED BY IDEAL HYDRODYNAMICS." International Journal of Modern Physics A 21, no. 18 (2006): 3771–808. http://dx.doi.org/10.1142/s0217751x06030977.

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We study a possibly integrable model of Abelian gauge fields on a two-dimensional surface M, with volume form μ. It has the same phase-space as ideal hydrodynamics, a coadjoint orbit of the volume-preserving diffeomorphism group of M. Gauge field Poisson brackets differ from the Heisenberg algebra, but are reminiscent of Yang–Mills theory on a null surface. Enstrophy invariants are Casimirs of the Poisson algebra of gauge invariant observables. Some symplectic leaves of the Poisson manifold are identified. The Hamiltonian is a magnetic energy, similar to that of electrodynamics, and depends on

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31

Singh, Tejinder P. "Octonions, trace dynamics and noncommutative geometry—A case for unification in spontaneous quantum gravity." Zeitschrift für Naturforschung A 75, no. 12 (2020): 1051–62. http://dx.doi.org/10.1515/zna-2020-0196.

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AbstractWe have recently proposed a new matrix dynamics at the Planck scale, building on the theory of trace dynamics and Connes noncommutative geometry program. This is a Lagrangian dynamics in which the matrix degrees of freedom are made from Grassmann numbers, and the Lagrangian is trace of a matrix polynomial. Matrices made from even grade elements of the Grassmann algebra are called bosonic, and those made from odd grade elements are called fermionic—together they describe an ‘aikyon’. The Lagrangian of the theory is invariant under global unitary transformations and describes gravity and

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32

Pawelczyk, Jacek. "Matrix models for Yang-Mills interactions." Journal of High Energy Physics 2000, no. 02 (2000): 038. http://dx.doi.org/10.1088/1126-6708/2000/02/038.

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33

Austing, Peter, John F. Wheater, and Graziano Vernizzi. "Polyakov lines in Yang-Mills matrix models." Journal of High Energy Physics 2003, no. 09 (2003): 023. http://dx.doi.org/10.1088/1126-6708/2003/09/023.

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34

Minahan, Joseph A. "Matrix models for 5d super Yang–Mills." Journal of Physics A: Mathematical and Theoretical 50, no. 44 (2017): 443015. http://dx.doi.org/10.1088/1751-8121/aa5cbe.

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35

Ferrari, Frank. "Super Yang–Mills, matrix models and geometric transitions." Comptes Rendus Physique 6, no. 2 (2005): 219–30. http://dx.doi.org/10.1016/j.crhy.2004.12.002.

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36

Ydri, Badis. "Remarks on the eigenvalues distributions of D≤4 Yang–Mills matrix models." International Journal of Modern Physics A 30, no. 01 (2015): 1450197. http://dx.doi.org/10.1142/s0217751x14501978.

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The phenomenon of emergent fuzzy geometry and noncommutative gauge theory from Yang–Mills matrix models is briefly reviewed. In particular, the eigenvalue distributions of Yang–Mills matrix models in lower dimensions in the commuting (matrix or Yang–Mills) phase of these models are discussed.

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37

Oktay, O. "Thermalization in Massive Deformations of Yang–Mills Matrix Models." Acta Physica Polonica B 52, no. 12 (2021): 1405. http://dx.doi.org/10.5506/aphyspolb.52.1405.

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38

Steinacker, Harold C. "Quantized open FRW cosmology from Yang–Mills matrix models." Physics Letters B 782 (July 2018): 176–80. http://dx.doi.org/10.1016/j.physletb.2018.05.011.

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39

Steinacker, Harold. "Emergent gravity and noncommutative branes from Yang–Mills matrix models." Nuclear Physics B 810, no. 1-2 (2009): 1–39. http://dx.doi.org/10.1016/j.nuclphysb.2008.10.014.

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40

O’Connor, D. "Low-dimensional Yang-Mills theories: Matrix models and emergent geometry." Theoretical and Mathematical Physics 169, no. 1 (2011): 1405–12. http://dx.doi.org/10.1007/s11232-011-0116-9.

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41

Bellucci, Stefano, and Corneliu Sochichiu. "On matrix models for anomalous dimensions of super-Yang–Mills theory." Nuclear Physics B 726, no. 1-2 (2005): 233–51. http://dx.doi.org/10.1016/j.nuclphysb.2005.07.026.

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42

YDRI, BADIS. "IMPACT OF SUPERSYMMETRY ON EMERGENT GEOMETRY IN YANG–MILLS MATRIX MODELS II." International Journal of Modern Physics A 27, no. 17 (2012): 1250088. http://dx.doi.org/10.1142/s0217751x12500881.

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We present a study of D = 4 supersymmetric Yang–Mills matrix models with SO(3) mass terms based on the Monte Carlo method. In the bosonic models we show the existence of an exotic first-/second-order transition from a phase with a well defined background geometry (the fuzzy sphere) to a phase with commuting matrices with no geometry in the sense of Connes. At the transition point the sphere expands abruptly to infinite size then it evaporates as we increase the temperature (the gauge coupling constant). The transition looks first-order due to the discontinuity in the action whereas it looks se

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43

Steinacker, Harold. "Covariant field equations, gauge fields and conservation laws from Yang-Mills matrix models." Journal of High Energy Physics 2009, no. 02 (2009): 044. http://dx.doi.org/10.1088/1126-6708/2009/02/044.

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44

Sperling, Marcus, and Harold C. Steinacker. "The fuzzy 4-hyperboloid Hn4 and higher-spin in Yang–Mills matrix models." Nuclear Physics B 941 (April 2019): 680–743. http://dx.doi.org/10.1016/j.nuclphysb.2019.02.027.

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45

STEINACKER, HAROLD. "EMERGENT GRAVITY AND GAUGE THEORY FROM MATRIX MODELS." International Journal of Modern Physics A 24, no. 15 (2009): 2866–76. http://dx.doi.org/10.1142/s0217751x09046217.

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Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not fundamental but arises effectively in the semi-classical limit, along with nonabelian gauge fields. This leads to a mechanism which could resolve the cosmological constant problem.

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46

Steinacker, Harold C. "Higher-spin kinematics & no ghosts on quantum space-time in Yang–Mills matrix models." Advances in Theoretical and Mathematical Physics 25, no. 4 (2021): 1025–93. http://dx.doi.org/10.4310/atmp.2021.v25.n4.a4.

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47

Krishnaswami, Govind S. "Schwinger–Dyson operator of Yang–Mills matrix models with ghosts and derivations of the graded shuffle algebra." Journal of Physics A: Mathematical and Theoretical 41, no. 14 (2008): 145402. http://dx.doi.org/10.1088/1751-8113/41/14/145402.

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48

Steinacker, Harold C. "Scalar modes and the linearized Schwarzschild solution on a quantized FLRW space-time in Yang–Mills matrix models." Classical and Quantum Gravity 36, no. 20 (2019): 205005. http://dx.doi.org/10.1088/1361-6382/ab39e3.

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49

LEE, C. W. H., and S. G. RAJEEV. "A REVIEW OF SYMMETRY ALGEBRAS OF QUANTUM MATRIX MODELS IN THE LARGE N LIMIT." International Journal of Modern Physics A 14, no. 28 (1999): 4395–455. http://dx.doi.org/10.1142/s0217751x99002074.

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Abstract:

This is a review article in which we will introduce, in a unifying fashion and with more intermediate steps in some difficult calculations, two infinite-dimensional Lie algebras of quantum matrix models, one for the open string sector and the other for the closed string sector. Physical observables of quantum matrix models in the large N limit can be expressed as elements of these Lie algebras. We will see that both algebras arise as quotient algebras of a larger Lie algebra. We will also discuss some properties of these Lie algebras not published elsewhere yet, and briefly review their relati

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50

Reshetnyak, Alexander. "On gauge independence for gauge models with soft breaking of BRST symmetry." International Journal of Modern Physics A 29, no. 30 (2014): 1450184. http://dx.doi.org/10.1142/s0217751x1450184x.

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Abstract:

A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field–antifield formalism is developed. It is based on a gauged (involving a field-dependent parameter) version of finite BRST transformations. The prescription allows one to restore the gauge-independence of the effective action at its extremals and therefore also that of the conventional S-matrix for a theory with BRST-breaking terms being additively introduced into a BRST-invariant action in order to achieve a consistency of the functional inte

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