Non-perturbative improvement of lattice QCD at large momenta

TL;DR

This paper introduces a non-perturbative method to improve lattice QCD calculations with Wilson fermions by removing all $O(a)$ corrections through off-shell improvement at large momenta.

Contribution

It presents a novel non-perturbative approach to eliminate $O(a)$ errors in lattice QCD operators, including mass-dependent corrections, via off-shell improvement techniques.

Findings

Effective removal of $O(a)$ corrections in lattice QCD operators.

Implementation of off-shell improvement using high-momentum correlation functions.

Enhanced accuracy of lattice QCD calculations at large momenta.

Abstract

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass. It requires off-shell improvement of quark fields and composite operators, which is achieved by studying the behaviour of quark and gluon correlation functions at large momenta.