Anisotropic Drag Force from 4D Kerr-AdS Black Holes

TL;DR

This paper uses AdS/CFT correspondence to study how angular momentum-induced anisotropy in Kerr-AdS black holes affects the drag force on a heavy quark, revealing a relativistic pressure gradient force relevant for RHIC.

Contribution

It introduces a novel approach linking jet focusing in Kerr-AdS backgrounds to pressure gradient corrections in drag force calculations.

Findings

Jet focusing towards impact parameter plane observed.

Pressure gradient correction to drag force proposed.

Relevance to transverse elliptic flow in RHIC established.

Abstract

Using AdS/CFT we investigate the effect of angular-momentum-induced anisotropy on the instantaneous drag force of a heavy quark. The dual description is that of a string moving in the background of a Kerr-AdS black holes. The system exhibits the expected focussing of jets towards the impact parameter plane. We put forward that we can use the connection between this focussing behavior and the angular momentum induced pressure gradient to extrapolate the pressure gradient correction to the drag force that can be used for transverse elliptic flow in realistic RHIC. The result is recognizable as a relativistic pressure gradient force.