Effects of hyperscaling violation and dynamical exponents on heavy quark potential and jet quenching parameter

TL;DR

This paper explores how hyperscaling violation and dynamical exponents influence the heavy quark potential and jet quenching parameter using the AdS/CFT correspondence, revealing their dependence on nonrelativistic parameters and external fields.

Contribution

It provides a detailed analysis of the effects of hyperscaling violation and dynamical exponents on heavy quark potential and jet quenching, including electromagnetic field influences.

Findings

Heavy quark potential increases with dynamical exponent z.

Potential decreases with hyperscaling violation parameter .

Jet quenching parameter decreases as z and  increase, affected by electromagnetic fields.

Abstract

In this paper, we investigate the heavy quark potential and the jet quenching parameter in a system with Lifshitz and hyperscaling violation exponents, by using the AdS/CFT correspondence. It is shown that the heavy quark potential and the jet quenching parameter are dependent upon the nonrelativistic parameters. We show how the heavy quark potential changes with the hyperscaling violation parameter {\theta}, dynamical parameter z, temperature T and charge Q. Increasing z and {\theta} lead to increasing and decreasing the potential respectively. The potential decreases and increases by increasing Q and T . It is investigated how the jet quenching parameter changes with the hyperscaling violation parameter {\theta} and dynamical parameter z. Also, we add some electromagnetic field and obtain its effect on the jet quenching parameter and see as z and {\theta} increasing this parameter decreases and the electric and magnetic fields affect differently on that.