Heavy quark potential with hyperscaling violation

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 $\hat{I}¸$. We calculate the potential for a certain range of $z$ and $\hat{I}¸$ 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.

8 pages, 3 figures. Accepted by Advances in High Energy Physics