Effective thermal potential between static $Q$ and $\bar Q$ in SU(3) gauge theory

TL;DR

This paper introduces a straightforward lattice QCD method to compute the thermal potential between static quark-antiquark pairs, providing results for temperatures below twice the critical temperature and preliminary insights into octet configurations.

Contribution

It proposes a simple approach to extract the thermal potential from smeared Wilson loops, avoiding complex Bayesian analyses used previously.

Findings

Thermal potential computed for temperatures below 2 T_c.

Preliminary results obtained for octet color configuration.

Method offers a more direct way to analyze heavy quark interactions in gluonic plasma.

Abstract

A non-perturbative calculation of the effective thermal potential between heavy $Q$ and $\bar Q$ from lattice QCD is difficult, and usually involves a Bayesian analysis. Here we present a simple method to obtain the potential from smeared Wilson loop, using the structure of the thermal Wilson loop. We present results for the $Q \bar Q$ thermal potential in a gluonic plasma for temperatures $\lesssim 2 T_c$. We also present preliminary results for the effective potential when the $Q$ and $\bar Q$ are in octet color configuration.