Non-perturbative improvement of the vector current in Wilson lattice QCD

TL;DR

This paper introduces a new method to determine the improvement coefficient for the vector current in Wilson lattice QCD, reducing discretization errors in correlation function calculations.

Contribution

A novel non-perturbative approach to improve the vector current in Wilson lattice QCD, enhancing the accuracy of related observables.

Findings

Successfully determined the improvement coefficient for the vector current.

Reduced discretization errors in lattice QCD calculations.

Applicable to the most common discretizations of the current.

Abstract

Many observables of interest in lattice QCD are extracted from correlation functions involving the vector current. If Wilson fermions are used, it is therefore of practical importance that, besides the action, the current be O($a$) improved in order to remove the leading discretization errors from the observables. Here we introduce and apply a new method to determine the improvement coefficient for the two most widely used discretizations of the current.