Two dimensional twisted chiral fermions on the lattice

TL;DR

This paper demonstrates that the lattice overlap method accurately reproduces the chiral determinant for two-dimensional twisted chiral fermions on a torus with background Polyakov loops.

Contribution

It shows the effectiveness of the lattice overlap in capturing chiral determinants in a nontrivial background in two dimensions.

Findings

Overlap reproduces the chiral determinant correctly.

Validates lattice approach for twisted chiral fermions.

Handles nontrivial background Polyakov loops.

Abstract

It is shown that the lattice overlap correctly reproduces the chiral determinant on a two dimensional torus in the presence of nontrivial background Polyakov loop variables.