The large N limit of four dimensional Yang-Mills field coupled to adjoint fermions on a single site lattice

TL;DR

This paper investigates the large N limit of 4D SU(N) Yang-Mills theory with adjoint fermions on a single-site lattice, revealing that center symmetry breaking depends on fermion discretization and providing evidence for chiral symmetry breaking.

Contribution

It demonstrates that center symmetry breaking occurs with naive fermions but not with overlap fermions, and offers numerical evidence for a non-zero chiral condensate.

Findings

Center symmetry broken with naive fermions

Center symmetry preserved with overlap fermions

Evidence of non-zero chiral condensate

Abstract

We consider the large N limit of four dimensional SU(N) Yang-Mills field coupled to adjoint fermions on a single site lattice. We use perturbative techniques to show that the Z^4_N center-symmetries are broken with naive fermions but they are not broken with overlap fermions. We use numerical techniques to support this result. Furthermore, we present evidence for a non-zero chiral condensate for one and two Majorana flavors at one value of the lattice gauge coupling.