Large-N reduction of SU(N) Yang-Mills theory with massive adjoint overlap fermions

TL;DR

This paper investigates the large-N limit of SU(N) Yang-Mills theory with adjoint overlap fermions on a single-site lattice, showing how to maintain center symmetry and analyzing correlations of Polyakov loops.

Contribution

It demonstrates that the continuum limit can be taken with any renormalized quark mass while preserving center symmetry in large-N SU(N) Yang-Mills theory with overlap fermions.

Findings

Bare quark mass must approach zero in the continuum limit for center symmetry.

Center-symmetric phase can be achieved with any renormalized quark mass.

Range for Wilson mass parameter in the overlap Dirac operator was determined.

Abstract

We study four dimensional large-N SU(N) Yang-Mills theory coupled to adjoint overlap fermions on a single site lattice. Lattice simulations along with perturbation theory show that the bare quark mass has to be taken to zero as one takes the continuum limit in order to be in the physically relevant center-symmetric phase. But, it seems that it is possible to take the continuum limit with any renormalized quark mass and still be in the center-symmetric physics. We have also conducted a study of the correlations between Polyakov loop operators in different directions and obtained the range for the Wilson mass parameter that enters the overlap Dirac operator.