Jet Quenching Parameter with Hyperscaling Violation

TL;DR

This paper investigates how the jet quenching parameter behaves in a hyperscaling violating background at finite temperature, considering effects of electric fields, and compares results with conformal cases and experimental data.

Contribution

It introduces a study of jet quenching in hyperscaling violating geometries with finite temperature and electric fields, extending previous conformal analyses.

Findings

Jet quenching parameter depends on temperature, dynamical exponent z, and hyperscaling exponent θ.

Adding electric field modifies the jet quenching parameter significantly.

Results are consistent with Gubser bound conditions and align with experimental data.

Abstract

In this paper we study the behavior of jet quenching parameter in the background metric with hyperscaling violation at finite temperature.The background metric is covariant under a generalized Lifshitz scaling symmetry with the dynamical exponent z and hyperscaling exponent $\theta$. We evaluate the jet quenching parameter for certain range of these parameters consistent with the Gubser bound conditions in terms of T, z and $\theta$. We compare our results with those from conformal case and experimental data. Then we add a constant electric field to this background and find its effect on the jet quenching parameter.