Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action

TL;DR

This paper estimates the heavy quark diffusion coefficient using the Gribov-Zwanziger approach, achieving better agreement with lattice results than traditional perturbative methods in the relevant temperature regime.

Contribution

It introduces a non-perturbative estimation of the heavy quark diffusion coefficient based on the Gribov-Zwanziger framework, addressing discrepancies in previous lattice and perturbative results.

Findings

Reasonable agreement with lattice estimations of $ppa$

Incorporates temperature-dependent Gribov mass parameter

Addresses poor convergence in NLO perturbative analysis

Abstract

The heavy quark momentum diffusion coefficient ($\kappa$) is one of the most essential ingredients for the Langevin description of heavy quark dynamics. In the temperature regime relevant to the heavy ion collision phenomenology, a substantial difference exists between the lattice estimations of $\kappa$ and the corresponding leading order (LO) result from the hard thermal loop (HTL) perturbation theory. Moreover, the indication of poor convergence in the next-to-leading order (NLO) perturbative analysis has motivated the development of several approaches to incorporate the non-perturbative effects in the heavy quark phenomenology. In this work, we estimate the heavy quark diffusion coefficient based on the Gribov-Zwanziger prescription. In this framework, the gluon propagator depends on the temperature-dependent Gribov mass parameter, which has been obtained self-consistently from the one-loop gap equation. Incorporating this modified gluon propagator in the analysis, we find a reasonable agreement with the existing lattice estimations of $\kappa$ within the model uncertainties.