Strong Interactions, (De)coherence and Quarkonia

TL;DR

This paper explores the non-perturbative aspects of quarkonia in hot QCD media, linking quantum effects to thermodynamics, and discusses implications for quark-gluon plasma and hadronic bound states.

Contribution

It introduces a thermodynamic perspective on the quantum nature of quark matter and applies Sudhakov form factor resummation to understand soft gluon effects in non-abelian theories.

Findings

Confinement-deconfinement phases for heavy quarkonia are characterized.

Thermodynamic considerations of Richardson potential explain quark matter quantum nature.

Sudhakov form factor effectively describes soft gluon effects in non-abelian gauge theories.

Abstract

Quarkonia are the central objects to explore the non-perturbative nature of non-abelian gauge theories. We describe the confinement-deconfinement phases for heavy quarkonia in a hot QCD medium and thereby the statistical nature of the inter-quark forces. In the sense of one-loop quantum effects, we propose that the "quantum" nature of quark matters follows directly from the thermodynamic consideration of Richardson potential. Thereby we gain an understanding of the formation of hot and dense states of quark gluon plasma matter in heavy ion collisions and the early universe. In the case of the non-abelian theory, the consideration of the Sudhakov form factor turns out to be an efficient tool for soft gluons. In the limit of the Block-Nordsieck resummation, the strong coupling obtained from the Sudhakov form factor yields the statistical nature of hadronic bound states, e.g. kaons and Ds particles.