The influence of Wilson lines on heavy quark anti-quark potential and mass

TL;DR

This paper explores how Wilson lines affect the heavy quark potential and mass in a holographic model, revealing behaviors like area law and dissociation, and comparing glueball masses with lattice QCD results.

Contribution

It introduces a detailed holographic analysis of Wilson lines' effects on heavy quark potential and glueball masses within the AdS soliton background.

Findings

Heavy quark potential exhibits area law behavior.

Potential becomes zero at a critical length indicating dissociation.

Glueball mass decreases with increasing gauge potential.

Abstract

The holographic heavy quark potential is investigated via holographic Wilson loops in the AdS soliton with gauge potential. We analyze two types of holographic Wilson loops. {In the first type, holographic heavy quark potential shows the area law behavior. In the second type, the potential becomes zero at a critical length and physics analogous to the dissociation occurs. The mass of heavy quarkonia and the binding energy are examined.} Lastly, the mass of $0^{++}$ glueball-like operators dual to massless dilaton is calculated. The mass of $0^{++}$ glueball-like operator decreases with increase of the gauge potential as expected in arXiv:2309.03491 [hep-th]. The results are comparable with lattice QCD.