Nonperturbative potential for study of quarkonia in QGP

TL;DR

This paper introduces a method to directly extract a thermal potential for quarkonia in quark-gluon plasma from Euclidean lattice QCD data, improving understanding of quarkonium behavior in high-temperature environments.

Contribution

It presents a novel approach to obtain a nonperturbative thermal potential from lattice QCD without Bayesian analysis, enabling better modeling of quarkonia in QGP.

Findings

Direct extraction of thermal potential from Euclidean Wilson loop data

Assessment of model potentials' suitability for quarkonia

Discussion of quarkonia phenomenology in gluonic plasma

Abstract

A thermal potential can be defined to facilitate understanding the behavior of quarkonia in quark-gluon plasma. A nonperturbative evaluation of this potential from lattice QCD is difficult, as it involves real-time corelation function, and has often involved the use of Bayesian analysis, with its associated systematics. In this work we show that using the properties of the static quarkonia thermal correlation functions, one can directly extract a thermal potential for quarkonia from Euclidean Wilson loop data. This leads to a controlled extraction, and allows us to judge the suitability of various model potentials. We also discuss the phenomenology of quarkonia in the gluonic plasma.