Residual mass effects in improved domain wall fermions

TL;DR

This paper investigates how projecting out low-lying eigenvalues of the Dirac operator affects the chiral properties and residual mass in quenched domain wall fermion simulations, aiming to improve their accuracy.

Contribution

It provides an analysis of the impact of eigenvalue projection on residual mass and chiral symmetry in improved domain wall fermion formulations.

Findings

Projection reduces residual mass in DWF simulations

Eigenvalue projection improves chiral symmetry properties

Residual mass decreases with larger extra dimension size

Abstract

In order to improve simulations with domain wall fermions (DWFs), it has been suggested to project out a number of low-lying eigenvalues of the 4-dimensional Dirac operator that generates the transfer matrix of DWF. We investigate how this projection method affects chiral properties of quenched DWF. In particular, we study the behaviour of the residual mass as a function of the size of the extra dimension.