The Debye Length and the Running Coupling of QCD: a Potential and Phenomenological Approach

TL;DR

This paper introduces a damped potential model to describe the running coupling constant of QCD in the confinement phase, comparing it with existing approaches and highlighting the role of the Debye screening mass.

Contribution

It presents a novel phenomenological model using a damped potential to analyze the QCD running coupling and Debye screening, aligning with the Richardson approach.

Findings

The model corroborates the Richardson approach.

The Debye screening mass depends on a small parameter.

The parameter tends to vanish outside the confinement phase.

Abstract

In this paper, one uses a damped potential to present a description of the running coupling constant of QCD in the confinement phase. Based on a phenomenological perspective for the Debye screening length, one compares the running coupling obtained here with both the Brodsky-de T\'eramond-Deur and the Richardson approaches. The results seem to indicate the model introduced here corroborate the Richardson approach. Moreover, the Debye screening mass in the confinement phase depends on a small parameter, which tends to vanish in the non-confinement phase of QCD.