Nonperturbative Renormalization for Domain Wall Fermions and the Chiral Condensate

TL;DR

This paper investigates the nonperturbative renormalization of domain wall fermions, focusing on the chiral condensate and vertex functions across various lattice scales and gauge actions, in both quenched and dynamical simulations.

Contribution

It introduces a non-perturbative scheme to calculate renormalization factors for domain wall fermions using vertex functions across different lattice setups.

Findings

Renormalization factors obtained non-perturbatively.

Comparison of quenched and dynamical fermion results.

Analysis across multiple gauge actions and lattice scales.

Abstract

We study the chiral condensate, $<\bar\psi\psi>$, and various quark bilinear vertex functions for domain wall fermions at different lattice scales, with both the Wilson and DBW2 gauge actions, in both quenched and dynamical fermion simulations. We use the vertex functions to calculate renormalization factors within a non-perturbative scheme.