Exploiting the scheme dependence of the renormalization group improvement in infrared Yang-Mills theory

TL;DR

This paper investigates how different renormalization schemes affect the infrared behavior of gluon and ghost propagators in Yang-Mills theory, demonstrating that scheme dependence can optimize agreement with lattice data.

Contribution

It extends previous one-loop RG analyses by exploring multiple renormalization schemes, showing how scheme dependence can improve lattice data matching.

Findings

Renormalization scheme dependence significantly influences propagator predictions.

Optimal scheme choice yields near-perfect fit to lattice data.

Scheme variation can be used as a tool for better theoretical-experimental alignment.

Abstract

Within the refined Gribov-Zwanziger scenario for four-dimensional Yang-Mills theory in the Landau gauge, a gluon mass term is generated from the restriction of the gauge field configurations to the first Gribov region. Tissier and Wschebor have pointed out that simply adding a gluon mass term to the usual Faddeev-Popov action yields one-loop renormalization group improved gluon and ghost propagators which are in good agreement with the lattice data even in the infrared regime. In this work, we extend their analysis to several alternative renormalization schemes and show how the renormalization scheme dependence can be used to achieve an almost perfect matching to the lattice data for the gluon and ghost propagators.