Non-perturbative renormalization of the axial current with improved Wilson quarks

TL;DR

This paper introduces a new normalization condition for the axial current in lattice QCD with improved Wilson quarks, reducing mass-dependent corrections and facilitating chiral extrapolation.

Contribution

It proposes a novel non-perturbative normalization condition for the axial current based on the PCAC relation with non-zero mass, aiding in more accurate renormalization.

Findings

Reduces O(r_0 m) corrections to Z_A

Simplifies chiral extrapolation process

Prepares for Z_A determination in two-flavor theory

Abstract

We present a new normalization condition for the axial current, which is derived from the PCAC relation with non-vanishing mass. Using this condition reduces the O(r_0 m) corrections to the axial current normalization constant Z_A for an easier chiral extrapolation in the cases, where simulations at zero quark-mass are not possible. The method described here also serves as a preparation for a determination of Z_A in the full two-flavor theory.