The Potential Energy of Heavy Quarkonium in Flavor-Dependent Systems from a Holographic Model

TL;DR

This paper uses a holographic Einstein-Maxwell-Dilaton model to analyze the potential energy, dissociation, and dynamics of heavy quarkonium in systems with varying flavors, temperatures, and chemical potentials, aligning closely with lattice results.

Contribution

It introduces a comprehensive holographic analysis of heavy quarkonium properties across different flavor systems at finite temperature and chemical potential, extending previous lattice and theoretical studies.

Findings

Linear potential decreases with increasing flavor.

Results closely match lattice data for 2+1 flavors.

Dissociation time depends on temperature, chemical potential, and flavor.

Abstract

Within the framework of the Einstein-Maxwell-Dilaton (EMD) model, which incorporates information on the equation of state and baryon number susceptibility from lattice results, we have conducted a comprehensive analysis of the potential energy, running coupling, and dissociation time for heavy quark-antiquark pairs using gauge/gravity duality. This study encompasses various systems, including pure gluon systems, 2 flavor systems, 2+1 flavor systems, and 2+1+1 flavor systems under finite temperature and chemical potential. The results reveal that the linear component of the potential energy diminishes as the flavor increases. It is also found that our results are extremely close to the recent lattice results for 2+1 flavors at finite temperature. Moreover, we have thoroughly investigated the dissociation distance and running coupling constant of quark-antiquark pairs to gain a comprehensive understanding of their behavior across various flavors. Finally, we have examined real-time dynamics of quark dissociation. The findings indicate that the dissociation time of quark-antiquark pairs is dependent on temperature, chemical potential, and flavor of the systems.