Twisted-Eguchi-Kawai model: A reduced model for large-N lattice gauge theory

Journal Article · Sun May 15 00:00:00 EDT 1983 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.27.2397· OSTI ID:5884205

Gonzalez-Arroyo, A; Okawa, M

We study the large-N reduced model recently proposed by the present authors. This model is a modified version of the Eguchi-Kawai model incorporating twisted boundary conditions. It is shown that the Schwinger-Dyson equations of our model are the same as in the infinite-lattice theory provided (U(1))/sup 4/ symmetry is not spontaneously broken. We study the model at strong coupling, weak coupling, and intermediate coupling using analytical and Monte Carlo techniques. At weak coupling, it is shown that for a particular choice of twist, (U(1))/sup 4/ symmetry is not broken and we prove how one recovers usual planar perturbation theory. Monte Carlo data for chi ratios show striking agreement with Wilson-theory results.

• Research Organization: Physics Department, Brookhaven National Laboratory, Upton, New York 11973
• OSTI ID: 5884205
• Journal Information: Phys. Rev. D; (United States), Vol. 27:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
GAUGE INVARIANCE
BOUNDARY CONDITIONS
COUPLING CONSTANTS
MONTE CARLO METHOD
PERTURBATION THEORY
STRONG-COUPLING MODEL
SYMMETRY BREAKING
U-1 GROUPS
WEAK-COUPLING MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
U GROUPS
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