The complex heavy-quark potential with the Gribov-Zwanziger action

TL;DR

This paper investigates the heavy quark-antiquark potential at finite temperature using the Gribov-Zwanziger approach, revealing modifications to the potential's real and imaginary parts due to infrared dynamics and medium effects.

Contribution

It introduces a novel calculation of the heavy quark potential incorporating the Gribov-Zwanziger prescription within the HTL resummed perturbation framework at finite temperature.

Findings

Real and imaginary parts of the potential are computed from one-loop gluon propagator.

The Gribov parameter modifies gluon and ghost loop contributions.

Decay width of quarkonium states is derived from the imaginary potential.

Abstract

Gribov-Zwanziger prescription in Yang-Mills theory improves the infrared dynamics. In this work, we study the static potential of a heavy quark-antiquark pair with the HTL resummed perturbation method within the Gribov-Zwanziger approach at finite temperature. The real and imaginary parts of the heavy quark complex potential are obtained from the one-loop effective static gluon propagator. The one-loop effective gluon propagator is obtained by calculating the one-loop gluon self-energies containing the quark, gluon, and ghost loop. The gluon and ghost loops are modified in the presence of the Gribov parameter. We also calculate the decay width from the imaginary part of the potential. We also discuss the medium effect of heavy quark potential with the localized action via auxiliary fields.