# 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.

## Key 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.

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Source: https://tomesphere.com/paper/hep-lat/9606016