On the chromoelectric permittivity and Debye screening in hot QCD

TL;DR

This paper investigates the chromoelectric response and Debye screening in hot QCD by incorporating interaction effects through effective fugacities, leading to insights on plasma behavior and quarkonium dissociation temperatures.

Contribution

It introduces a self-consistent method to compute response functions and Debye mass in hot QCD using effective fugacities from different equations of state, including non-perturbative effects.

Findings

Response functions deviate significantly from ideal plasma behavior.

The formalism reproduces the leading order HTL Debye mass.

Estimated dissociation temperatures align with current theoretical predictions.

Abstract

We study the response functions (chromo-electric susceptibilities) for an interacting quark-gluon plasma. The interaction effects have been encoded in the effective fugacities for quasi-partons which are extracted self-consistently from the two equations of state for hot QCD. The first one is the fully perturbative $O(g^5)$ EOS and, the second one which is $O(g^6\ln(1/g))$, incorporates some non-perturbative effects. We find that response function shows large deviations from the ideal behavior. We further determine the temperature dependence of the Debye mass by fixing the effective coupling constant $Q^2$ which appears in the transport equation. We show that our formalism naturally yields the leading order HTL expression for the Debye mass if we employ the ideal EOS. Employing the Debye mass, we estimate the dissociation temperatures for various charmonium and bottomonium bound states. These results are consistent with the current theoretical studies.