Using Wilson flow to study the SU(3) deconfinement transition

TL;DR

This paper employs Wilson flow to analyze the SU(3) deconfinement transition, introducing a renormalized order parameter and examining gluon condensates to identify the transition point.

Contribution

It introduces the use of Wilson flow for renormalizing the Polyakov loop and studying gluon condensates in SU(3) gauge theory deconfinement transition.

Findings

Flowed Polyakov loop acts as a renormalized order parameter.

Rapid change in gluon condensate differences signals the transition.

Wilson flow provides a new tool for studying phase transitions in gauge theories.

Abstract

We explore the use of Wilson flow to study the deconfinement transition in SU(3) gauge theory. We use the flowed Polyakov loop as a renormalized order parameter for the transition, and use it to renormalize the Polyakov loop. We also study the flow properties of the electric and magnetic gluon condensates, and demonstrate that the difference of the flowed operators shows rapid change across the transition point.