Domain Wall Fermions with Exact Chiral Symmetry

TL;DR

This paper introduces a modification to the domain wall fermion action that achieves exact chiral symmetry at finite fifth-dimensional extent, applicable to both quenched and dynamical calculations, with performance comparable to overlap-Dirac methods.

Contribution

The authors propose a simple modification to the standard domain wall action enabling exact chiral symmetry at finite fifth dimension, applicable to various gauge field configurations.

Findings

The modified method achieves exact chiral symmetry at finite fifth dimension.

Performance of the new method is comparable to overlap-Dirac operator.

The method is effective for both quenched and dynamical simulations.

Abstract

We show how the standard domain wall action can be simply modified to allow arbitrarily exact chiral symmetry at finite fifth dimensional extent. We note that the method can be used for both quenched and dynamical calculations. We test the method using smooth and thermalized gauge field configurations. We also make comparisons of the performance (cost) of the domain wall operator for spectroscopy compared to other methods such as the overlap-Dirac operator and find both methods are comparable in cost.