Heavy quarkonium and dynamical gluon mass at non-zero temperature in instanton vacuum model

TL;DR

This paper investigates how the heavy quarkonium potential changes with temperature within the instanton liquid model, highlighting the role of a dynamical gluon mass and nonperturbative effects that could impact charmonia production.

Contribution

It introduces a temperature-dependent heavy quark potential in the instanton liquid model, incorporating a dynamical gluon mass and nonperturbative effects.

Findings

Nonperturbative contributions vary significantly with temperature.

The model predicts modifications to the quarkonium potential at finite temperature.

Results may influence phenomenological analyses of charmonium production.

Abstract

In the framework of the Instanton Liquid Model we evaluate the heavy quark $\bar{Q}Q$ potential at nonzero temperature $T$. The potential has two components: contribution due to direct interaction with instantons, and the modification of the one-gluon exchange contribution via instanton-generated dynamical \char`\"{}electric\char`\"{} gluon mass $M_{el}(q,T)$. We conclude that the nonperturbative ILM contributions to the $Q\bar{Q}$ potential have pronounced temperature dependence, which might be tested in phenomenological analyses of charmonia production data.