Discretization effects on renormalized gauge-field Green's functions, scale setting and gluon mass

TL;DR

This paper analyzes how discretization artifacts affect lattice QCD gauge-field propagators and related quantities, improving the understanding of their impact on continuum limit extrapolation for more accurate physical results.

Contribution

It provides a detailed analysis of discretization effects on renormalized gauge-field Green's functions, aiding in reliable continuum extrapolation in lattice QCD.

Findings

Discretization artifacts significantly influence low-momentum propagators.

A careful analysis enables better continuum limit extrapolation.

Insights improve the accuracy of fundamental QCD parameter extraction.

Abstract

The $SU(3)$ gauge-field propagators computed from the lattice have been exhaustively used in the investigation of the low-momentum dynamics of QCD, in a judicious interplay with results from other nonperturbative approaches, and for the extraction of fundamental parameters of QCD like $\Lambda_{\overline{\rm MS}}$ as well. The impact of the discretization artifacts and their role in the extrapolation of the results to the continuum limit have not been fully understood so far. We report here about a very careful analysis of the physical scaling violation of the Landau-gauge propagators renormalized in MOM scheme and the Taylor coupling, steering us towards an insightful understanding of the effects from discretization artifacts which makes therefore possible a reliable continuum-limit extrapolation.