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Relevant bibliographies by topics / Yang-Mills matrix model

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Journal articles

Academic literature on the topic 'Yang-Mills matrix model'

Author: Grafiati

Published: 6 September 2023

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

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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