On the renormalization of the Polyakov loop

TL;DR

This paper presents a non-perturbative method to renormalize Polyakov loop correlation functions on a lattice, specifically calculating the renormalization constant for SU(3) gauge theory using short-distance correlator properties.

Contribution

It introduces a new non-perturbative renormalization technique for Polyakov loops based on short-distance correlator analysis, applied to SU(3) gauge theory.

Findings

Renormalization constant for SU(3) Polyakov loops calculated.

Method based on short-distance properties of correlators.

Provides a consistent non-perturbative renormalization scheme.

Abstract

We discuss a non-perturbative renormalization of n-point Polyakov loop correlation functions by explicitly introducing a renormalization constant for the Polyakov loop operator on a lattice deduced from the short distance properties of 2-point correlators. We calculate this constant for the SU(3)gauge theory.