Chiral Symmetry Breaking for Domain Wall Fermions in Quenched Lattice QCD

TL;DR

This paper investigates chiral symmetry breaking effects in quenched lattice QCD with domain wall fermions, quantifying residual mass and calculating the pion decay constant with results consistent with experimental data.

Contribution

It provides a precise determination of residual mass in domain wall fermions and validates two independent methods for calculating the pion decay constant.

Findings

Residual mass decreases near the continuum limit.

Two methods for pion decay constant calculation agree well.

Results align with experimental measurements.

Abstract

The domain wall fermion formulation exhibits full chiral symmetry for finite lattice spacing except for the effects of mixing between the domain walls. Close to the continuum limit these symmetry breaking effects should be described by a single residual mass. We determine this mass from the conservation law obeyed by the conserved axial current in quenched simulations with beta=5.7 and 6.0 and domain wall separations varying between 12 and 48 on 8^3x32 and 16^3x32 lattices. Using the resulting values for the residual mass we perform two complete and independent calculations of the pion decay constant. Good agreement is found between these two methods and with experiment.