Testing volume independence of SU(N) pure gauge theories at large N

Abstract

In this paper we present our results concerning the dependence of Wilson loop expectation values on the size of the lattice and the rank of the SU(N) gauge group. This allows to test the claims about volume independence in the large N limit, and the crucial dependence on boundary conditions. Our highly precise results provide strong support for the validity of the twisted reduction mechanism and the TEK model, provided the fluxes are chosen within the appropriate domain.

33 pages, latex, 10 figures

References in corpus (12)

• SU(N) gauge theories at large N
• Volume independence in large Nc QCD-like gauge theories
• The string tension from smeared Wilson loops at large N
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Large-N reduction in QCD-like theories with massive adjoint fermions
• Phase structure of twisted Eguchi-Kawai model
• Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
• On the running of the bare coupling in SU(N) lattice gauge theories
• Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions
• Volume independence for Yang-Mills fields on the twisted torus
• Structure and properties of the vacuum of the Twisted Eguchi-Kawai model
• Volume dependence in 2+1 Yang-Mills theory

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• Bootstrap for Lattice Yang-Mills theory
• The Large $N_c$ limit of QCD on the lattice
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
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• Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model
• The $SU(\infty )$ twisted gradient flow running coupling
• Center-vortex semiclassics with non-minimal 't Hooft fluxes on ${\mathbb{R}}^2\times T^2$ and center stabilization at large $N$
• Perturbative contributions to Wilson loops in twisted lattice boxes and reduced models
• The meson spectrum of large N gauge theories
• ${\mathbb{Z}}_N$ stability and continuity in twisted Eguchi-Kawai model with two-flavor adjoint fermions
• A comparison of updating algorithms for large N reduced models
• Meson spectrum in the large $N$ limit
• Testing volume independence of large N gauge theories on the lattice
• Meson masses and decay constants at large $N$
• Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence