Chiral violations from one-loop domain wall fermions

TL;DR

This paper investigates chiral symmetry breaking in domain-wall fermions using lattice perturbation theory, focusing on residual mass and matrix elements, with results for various parameters and finite fifth-dimensional points.

Contribution

It provides a detailed perturbative analysis of chiral violations in domain-wall fermions considering finite fifth-dimensional extent and multiple parameter choices.

Findings

Quantitative estimates of residual mass

Analysis of chiral symmetry breaking effects

Dependence on domain-wall parameters

Abstract

We present results from lattice perturbation theory for the residual mass and other matrix elements measuring the breaking of chiral symmetry in domain-wall fermions. We have used the exact propagators corresponding to a finite number of points in the fifth dimensions, and results were obtained for several choices of the domain-wall parameters.