Jet Quenching Parameter in Medium with Chemical Potential from AdS/CFT

TL;DR

This paper calculates the jet quenching parameter in a medium with chemical potential using AdS/CFT, revealing how charge density affects quenching in different black hole phases.

Contribution

It provides an explicit form of the jet quenching parameter for small chemical potentials in dual SYM phases, linking charge density to quenching behavior.

Findings

Jet quenching increases with charge density in the large black hole phase.

Jet quenching decreases with charge density in the small black hole phase.

The background with small chemical potential is thermodynamically unstable.

Abstract

We calculate the jet quenching parameter in medium with chemical potential from AdS/CFT correspondence. Our result is summarized in a plot. Moreover, we extract the explicit form of the jet quenching parameter of medium with small chemical potential for phases of dual SYM corresponding to large and small black holes. For the former phase, the jet quenching is increased as the charge density increases, however, for the latter it is the opposite though the background is thermodynamically unstable.