Entropic destruction of heavy quarkonium with hyperscaling violation

TL;DR

This paper investigates how entropic forces cause heavy quarkonium to dissociate in strongly coupled anisotropic theories, revealing how parameters like the dynamical exponent and hyperscaling violation influence this process.

Contribution

It introduces a study of entropic quarkonium destruction within Lifshitz and hyperscaling violation frameworks, highlighting the dependence on specific scaling parameters.

Findings

Increasing z reduces entropic force and quarkonium dissociation.

Increasing θ enhances the entropic force, promoting dissociation.

Entropic force varies with theory parameters, affecting quarkonium stability.

Abstract

We study the entropic destruction of heavy quarkonium in strongly coupled theories with an anisotropic scaling symmetry in time and spatial direction. We consider Lifshitz and hyperscaling violation theories which are covariant under a generalized Lifshitz scaling symmetry with the dynamical exponent $z$ and hyperscaling violation exponent $\theta$. It is shown that the entropic force depends on the parameters of these theories. In particular, increasing $z$ decreases the entropic force thus reducing the quarkonium dissociation, while increasing $\theta$ has opposite effect.