Charge effect and finite 't Hooft coupling correction on drag force and Jet Quenching Parameter

TL;DR

This paper examines how charge and finite 't Hooft coupling corrections influence drag force and jet quenching parameters using Gauss-Bonnet gravity and Reissner-Nordström-AdS black brane solutions, providing analytic results and discussing quark relaxation times.

Contribution

It introduces an analytic solution for drag force considering charge and Gauss-Bonnet corrections, extending previous models of quark dynamics in holographic backgrounds.

Findings

Corrections significantly affect drag force and jet quenching parameters.

Analytic expression for drag force depending on Gauss-Bonnet coupling and charge.

Discussion of relaxation time for heavy quarks in corrected backgrounds.

Abstract

The effects of charge and finite 't Hooft coupling correction on drag force and jet quenching parameter are investigated. To study charge effect and finite 't Hooft coupling correction, we consider Maxwell charge and Gauss-Bonnet terms, respectively. The background is Reissner-Nordstr\"{o}m-AdS black brane solution in Gauss-Bonnet gravity. It is shown that these corrections affect drag force and jet quenching parameter. We find an analytic solution of drag force in this background which depends on Gauss-Bonnet coupling and charge. We set Gauss-Bonnet coupling to be zero and find drag force in the case of Reissner-Nordstr\"{o}m-AdS background. Also we discuss the relaxation time of a moving heavy quark in this gravity background.