Large-N reduction with adjoint Wilson fermions

TL;DR

This paper investigates the large-N limit of SU(N) lattice gauge theories with adjoint Wilson fermions using volume-reduced models, demonstrating volume independence and exploring physical quantities like string tension and meson masses.

Contribution

It provides the first large-N analysis of SU(N) lattice gauge theories with adjoint fermions on a single-site lattice, confirming volume independence and enabling calculations of physical observables.

Findings

Volume independence holds in a finite region of unbroken center symmetry.

Simulations up to N=53 show consistent large-N behavior.

Physical quantities like string tension and meson masses can be estimated using large-N reduction.

Abstract

We analyze the large-N behavior of SU(N) lattice gauge theories with adjoint fermions by studying volume-reduced models, as pioneered by Eguchi and Kawai. We perform simulations on a single-site lattice for Nf = 1 and Nf = 2 Wilson Dirac fermions with values of N up to 53. We show for both values of Nf that in the large-N limit there is a finite region, containing both light and heavy fermions, of unbroken center symmetry where the theory exhibits volume independence. Using large-N reduction we attempt to calculate physical quantities such as the string tension and meson masses.