Renormalized Polyakov loop in the Fixed Scale Approach

TL;DR

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

Contribution

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

Findings

Successfully computed the Polyakov loop for multiple scales.

Provided a straightforward generalization to other gauge theories.

Demonstrated how to obtain a physical, renormalized order parameter.

Abstract

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