Heavy-quark potential in Gribov-Zwanziger approach around deconfinement phase transition

TL;DR

This paper calculates the heavy-quark potential at finite temperature using the Gribov-Zwanziger approach, revealing significant imaginary parts that influence quarkonium dissociation in hot media, differing from previous HTL results.

Contribution

It introduces a resummed perturbation method within the Gribov-Zwanziger framework to analyze the heavy-quark potential at finite temperature, highlighting the importance of both screening and damping effects.

Findings

Real part of potential is screened and short-ranged at high temperature.

Imaginary part of potential increases with temperature, comparable to the real part.

Both screening and Landau damping are crucial for heavy flavor hadron dissociation.

Abstract

The interaction potential between a pair of heavy quarks is calculated with resummed perturbation method in Gribov-Zwanziger approach at finite temperature. The resummed loop correction makes the potential complex. While the real part is, as expected, screened and becomes short-ranged in hot medium, the strength of the imaginary part increases with temperature and is comparable with the real part, which is very different from the previous calculation in HTL approach. This means that, both the color screening and Landau damping play important role in the dissociation of heavy flavor hadrons in hot medium.