Propagator of the lattice domain wall fermion and the staggered fermion

TL;DR

This paper computes the propagator of lattice domain wall fermions using RBC-UKQCD gauge configurations, revealing similarities to Kogut-Susskind fermions without anomalous mass ratio behavior.

Contribution

It provides a detailed calculation of the domain wall fermion propagator and addresses phase ambiguity, comparing results to staggered fermions.

Findings

Mass function similar to Kogut-Susskind fermions

No anomalous behavior in quark mass ratios

Phase ambiguity adjustment improves solution overlap

Abstract

The propagator of the domain wall fermion is calculated from the gauge configurations of the RBC-UKQCD collaborations with 2+1 dynamical flavors of $16^3\times 32\times 16$ lattice. The ambiguity of the phase is adjusted such that the overlap of the solution of the conjugate gradient method and the plane wave at the source becomes real. The mass function becomes close to those of Kogut-Susskind fermion, but no anomalous behavior for $u/d$-quark mass and s-quark mass ratio close to 0.75 appears.