Renormalized Polyakov loop in the Fixed Scale Approach

TL;DR

This paper presents a method to compute a physical, renormalized deconfinement order parameter, the Polyakov loop, in SU(2) lattice gauge theory using the fixed scale approach, with potential applications to other gauge theories.

Contribution

It introduces a way to obtain a renormalized Polyakov loop in the fixed scale approach, applicable to various gauge theories including QCD.

Findings

Successfully computed the renormalized Polyakov loop at two scales.

Demonstrated the method's straightforward generalization to other gauge theories.

Provided a framework for physical interpretation of the deconfinement transition.

Abstract

I compute the deconfinement order parameter for the SU(2) lattice gauge theory, the Polyakov loop, using the fixed scale approach for two different scales and show how one can obtain a physical, renormalized, order parameter. The generalization to other gauge theories, including quenched or full QCD, is straightforward.