Electromagnetic Debye mass within Gribov-Zwanziger action

TL;DR

This paper calculates the electromagnetic Debye mass using the Gribov-Zwanziger framework, incorporating non-perturbative effects, and explores its application in evaluating the heavy quark potential in QED, advancing non-perturbative QCD studies.

Contribution

It introduces a non-perturbative calculation of the Debye mass within the Gribov-Zwanziger approach and demonstrates its application to heavy quark potential analysis.

Findings

Debye mass computed with Gribov-Zwanziger action

Application to real and imaginary parts of heavy quark potential

Provides a basis for non-perturbative QCD calculations

Abstract

In the present study we have investigated the electromagnetic Debye mass by computing the static limit of the temporal component of the one-loop photon polarization tensor involving effective quarks in the loop. These effective quarks have been considered within the Gribov-Zwanziger action, thereby incorporating the necessary non-perturbative effects. As an academic exercise, we have also shown one of the applications of this Gribov modified Debye mass by using it to evaluate the real and imaginary parts of the heavy quark potential in a QED system. This computation of the electromagnetic Debye mass and the corresponding estimations of the heavy quark potential can be seen as stepping stones in the direction of further practical QCD calculations in the non perturbative domain.