The imaginary potential and entropic force of heavy quarkonia in strongly coupled N = 4 supersymmetric Yang-Mills plasma on the Coulomb branch

TL;DR

This paper investigates the dissociation mechanisms of heavy quarkonia in a strongly coupled N=4 super Yang-Mills plasma using holographic duality, analyzing the effects of temperature, rotation, and rapidity on imaginary potential and entropic force.

Contribution

It provides a comparative analysis of imaginary potential and entropic force mechanisms for quarkonium dissociation in a rotating black brane background at strong coupling.

Findings

Both mechanisms yield similar results for static and moving quarkonia.

In the large black hole branch, increasing temperature and rapidity reduces thermal width, indicating stronger suppression.

In the small black hole branch, higher temperature increases dissociation, while rapidity has the opposite effect.

Abstract

There are two important different mechanisms, the imaginary potential and entropic force, to investigate the dissociation of heavy quarkonia. In this paper, we calculate these two quantities for static and moving quarkonia in the rotating black 3-brane Type IIB supergravity solution dual to N = 4 super Yang-Mills theory on the Coulomb branch (cSYM) at strong coupling. At T 6= 0, there are two black hole branches: the large and small black hole branches. We investigate the effects of rotating parameter and rapidity for the static and moving quakonium at the large and small black hole branches. We find both mechanisms have the same results. In the large black hole branch: as T/{\Lambda} and \b{eta} increase the thermal width decreases and so the suppression becomes stronger. In the small black hole branch: increasing T/{\Lambda} leads to increasing the thermal width and the quarkonium dissociates harder but \b{eta} has an opposite effect.