Medium evolution of a static quark-antiquark pair in the large $N_{c}$ limit

TL;DR

This paper investigates how a static quark-antiquark pair transitions between color states in a thermal medium, using non-perturbative methods in the large N_c limit to inform quarkonium behavior in quark-gluon plasma.

Contribution

It provides a non-perturbative analysis of color state transitions of static quark pairs in a thermal medium within the large N_c limit, aiding phenomenological modeling.

Findings

Derived expressions for color state transitions in the large N_c limit.

Insights into simplifying quarkonium models in a plasma.

Potential applications with lattice QCD and AdS/CFT techniques.

Abstract

We study the transitions between the different color states of a static quark-antiquark pair, singlet and octet, in a thermal medium. This is done non-perturbatively exploiting the infinite mass limit of QCD. This study is interesting because it can be used for future developments within the framework of Effective Field Theories (EFTs) and because it can be combined with other techniques, like lattice QCD or AdS/CFT, to gain non-perturbative information about the evolution of quarkonium in a medium. We also study the obtained expressions in the large $N_{c}$ limit. This allows us to learn lessons that are useful to simplify phenomenological models of quarkonium in a plasma.