O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory

TL;DR

This paper calculates the one-loop order O(a) improvement of the axial current in lattice QCD with Wilson quarks, enhancing the accuracy of theoretical predictions in quantum chromodynamics simulations.

Contribution

It provides the explicit computation of the O(a) counterterm for on-shell improvement and confirms the coefficient of the SW term in the improved action.

Findings

Derived the O(a) counterterm for the axial current.

Confirmed the SW term coefficient in the improved lattice action.

Enhanced the precision of lattice QCD calculations.

Abstract

The conservation of the isovector axial current in lattice QCD with massless Wilson quarks is studied to one-loop order of perturbation theory. Following a strategy described in a previous publication, the O($a$) counterterm required for on-shell improvement of the current is computed. We also confirm an earlier result of Wohlert for the coefficient in front of the SW term in the improved action.