Localization and chiral symmetry in 2+1 flavor domain wall QCD

TL;DR

This paper investigates how the residual mass of domain wall fermions depends on the fifth dimension size and relates to eigenvector properties, demonstrating a regime suitable for 2+1 flavor QCD simulations at certain lattice spacings.

Contribution

It provides a detailed analysis of residual mass dependence on fifth dimension size and eigenvector localization in 2+1 flavor domain wall QCD with specific gauge actions.

Findings

Existence of a regime with acceptable locality and chiral symmetry breaking.

Residual mass dependence on fifth dimension size characterized.

Feasibility of simulations at inverse lattice spacings ≥ 1.6 GeV.

Abstract

We present results for the dependence of the residual mass of domain wall fermions (DWF) on the size of the fifth dimension and its relation to the density and localization properties of low-lying eigenvectors of the corresponding hermitian Wilson Dirac operator relevant to simulations of 2+1 flavor domain wall QCD. Using the DBW2 and Iwasaki gauge actions, we generate ensembles of configurations with a $16^3\times 32$ space-time volume and an extent of 8 in the fifth dimension for the sea quarks. We demonstrate the existence of a regime where the degree of locality, the size of chiral symmetry breaking and the rate of topology change can be acceptable for inverse lattice spacings $a^{-1} \ge 1.6$ GeV.