Heavy quark potential with hyperscaling violation

TL;DR

This paper explores how the heavy quark potential varies in hyperscaling violating backgrounds with Lifshitz symmetry, analyzing the effects of parameters $z$, $ heta$, and an external electric field on the potential.

Contribution

It provides a detailed calculation of the heavy quark potential in hyperscaling violating geometries and examines the influence of electric fields and non-relativistic parameters.

Findings

Potential depends on Lifshitz and hyperscaling parameters.

Electric field increases the heavy quark potential.

Potential behavior varies with $z$ and $ heta$.

Abstract

In this paper, we investigate the behavior of the heavy quark potential in the backgrounds with hyperscaling violation. The metrics are covariant under a generalized Lifshitz scaling symmetry with the dynamical Lifshitz parameter $z$ and hyperscaling violation exponent $\theta$. We calculate the potential for a certain range of $z$ and $\theta$ and discuss how it changes in the presence of the two parameters. Moreover, we add a constant electric field to the backgrounds and study its effects on the potential. It is shown that the heavy quark potential depends on the non-relativistic parameters. Also, the presence of the constant electric field tends to increase the potential.