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

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.