Heavy Quark Potential with Hyperscaling Violation

Abstract

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 and hyperscaling violation exponent . We calculate the potential for a certain range of and 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 nonrelativistic parameters. Also, the presence of the constant electric field tends to increase the potential.

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

“…Increasing z and θ lead to increasing and decreasing the heavy quark potential, respectively. This results are consistent with [40]. Also, the potential decreases and increases by increasing Q and T , respectively.…”

“…In fact, by increasing z and θ , the potential behaves differentially. These results are in agreement with results in [40]. In Fig.…”

“…We have concluded that increasing z and θ lead to increasing and decreasing the potential respectively. In fact, these metrics in [40] and our paper are different. But in general their results in the selected ranges are similar with our results.…”

“…By comparing plots with the conformal case, we have concluded that the potential behaves similar to the conformal case and the closest case to the conformal state is z = 2, θ = d − 1, Q = 1 and r h = 1.2. The metric background that was considered in [40] was a metric with hyperscaling violation at finite temperature. In [40], authors investigated the heavy quark potential in the Lifshitz backgrounds with hyperscaling violation.…”

“…The metric background that was considered in [40] was a metric with hyperscaling violation at finite temperature. In [40], authors investigated the heavy quark potential in the Lifshitz backgrounds with hyperscaling violation. They concluded that by increasing θ the potential decreased and increasing z led to increasing the potential.…”