The effect of gluon condensate on holographic heavy quark potential

TL;DR

This paper investigates how the gluon condensate influences the heavy quark potential using AdS/CFT, revealing that a decrease in the condensate deepens the potential and suggests a drop in quarkonium mass near deconfinement.

Contribution

It introduces a holographic approach to study the impact of gluon condensate variations on heavy quarkonium properties across the deconfinement transition.

Findings

Heavy quark potential deepens as gluon condensate decreases.

Dropping gluon condensate correlates with reduced quarkonium mass.

Results align with QCD sum rule and AdS/QCD models.

Abstract

The gluon condensate is very sensitive to the QCD deconfinement transition since its value changes drastically with the deconfinement transition. We calculate the gluon condensate dependence of the heavy quark potential in AdS/CFT to study how the property of the heavy quarkonium is affected by a relic of the deconfinement transition. We observe that the heavy quark potential becomes deeper as the value of the gluon condensate decreases. We interpret this as a dropping of the heavy quarkonium mass just above the deconfinement transition, which is similar to the results obtained from QCD sum rule and from a bottom-up AdS/QCD model.