Eguchi-Kawai model with dynamical adjoint fermions

TL;DR

This paper analyzes the impact of different fermion discretizations on center symmetry restoration in the Eguchi-Kawai model with adjoint fermions, supporting the use of overlap fermions for volume independence.

Contribution

It provides a perturbative comparison showing overlap fermions restore center symmetry, unlike naive fermions, clarifying conditions for large-N volume independence.

Findings

Overlap fermions support center symmetry restoration.

Naive fermions break center symmetry.

Perturbative analysis confirms assumptions for overlap fermions.

Abstract

It is believed that fermions in adjoint representation on single site lattice will restore the center symmetry, which is a crucial requirement for the volume independence of large-N lattice gauge theories. We present a perturbative analysis which supports the assumption for overlap fermions, but shows that center symmetry is broken for naive fermions.