Exact Chiral Symmetry for Domain Wall Fermions with Finite L_s

TL;DR

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

Contribution

The authors introduce a simple modification to the domain wall action enabling exact chiral symmetry at finite L_s, applicable to various gauge configurations.

Findings

The modified action achieves exact chiral symmetry at finite L_s.

Performance of the modified domain wall operator is comparable to overlap-Dirac methods.

The method is effective for both quenched and dynamical gauge field 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 $L_s$. 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.