Supergravity and the jet quenching parameter in the presence of R-charge densities

TL;DR

This paper uses the AdS/CFT correspondence to analyze how R-charge densities in N=4 Yang-Mills theory affect jet quenching, revealing that R-charges generally enhance quenching but with complex dependence on charge density.

Contribution

It introduces a method to compute the jet quenching parameter in the presence of R-charge densities using non-extremal rotating branes within the AdS/CFT framework.

Findings

R-charges generally increase jet quenching.

Enhancement of quenching depends on R-charge density and angular momenta.

Results are consistent across canonical and grand canonical ensembles.

Abstract

Following a recent proposal, we employ the AdS/CFT correspondence to compute the jet quenching parameter for N=4 Yang-Mills theory at nonzero R-charge densities. Using as dual supergravity backgrounds non-extremal rotating branes, we find that the presence of the R-charges generically enhances the jet quenching phenomenon. However, at fixed temperature, this enhancement might or might not be a monotonically increasing function of the R-charge density and depends on the number of independent angular momenta describing the solution. We perform our analysis for the canonical as well as for the grand canonical ensemble which give qualitatively similar results.