Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography

TL;DR

This paper investigates how hyperscaling violation and dynamical exponents influence the imaginary potential and entropic force in heavy quarkonium dissociation using holographic models, revealing their combined effects on thermal width and dissociation length.

Contribution

It introduces a holographic analysis of heavy quarkonium dissociation considering hyperscaling violation and dynamical exponents, highlighting their impact on dissociation mechanisms.

Findings

Thermal width decreases with increasing dynamical exponent and chemical potential.

Dissociation length shortens as hyperscaling violation parameter decreases.

Both dissociation mechanisms respond similarly to parameter changes.

Abstract

The imaginary potential and entropic force are two important different mechanisms to characterize the dissociation of heavy quarkonia. In this paper, we calculate these two quantities in strongly coupled theories with anisotropic Lifshitz scaling and hyperscaling violation exponent using holographic methods. We study how the results are affected by the hyperscaling violation parameter {\theta} and the dynamical exponent z at finite temperature and chemical potential. Also, we investigate the effect of the chemical potential on these quantities. As a result, we find that both mechanisms show the same results: the thermal width and the dissociation length decrease as the dynamical exponent and chemical potential increase or as the hyperscaling violating parameter decreases.