Non-perturbative renormalization of lattice QCD at all scales

TL;DR

This paper presents a comprehensive non-perturbative approach to renormalization in lattice QCD, utilizing finite-size techniques and simulations to accurately determine scale-dependent quantities and correction terms.

Contribution

It introduces a general strategy for non-perturbative renormalization in lattice QCD, applicable across all scales, with practical computations demonstrated for key quantities.

Findings

Computed axial current normalization constant non-perturbatively

Determined the running coupling at zero quark masses

Analyzed the scale evolution of the renormalized axial density

Abstract

A general strategy to solve the non-perturbative renormalization problem in lattice QCD, using finite-size techniques and numerical simulations, is described. As an illustration we discuss the computation of the axial current normalization constant, the running coupling at zero quark masses and the scale evolution of the renormalized axial density. The non-perturbative calculation of O(a) correction terms (as they appear in Symanzik's improvement programme) is another important field of application.