Shear Transport Coefficients from Gauge/Gravity Correspondence

TL;DR

This paper derives general formulas for shear viscosity and relaxation time in gauge/gravity duality at finite temperature, aiding the understanding of relativistic fluid dynamics in high-energy nuclear collisions.

Contribution

It provides a universal formula for shear mode relaxation time in gauge/gravity correspondence, extending previous results to arbitrary backgrounds with black holes.

Findings

Confirmed shear viscosity formula in general backgrounds with black holes.

Derived a universal relaxation time formula consistent with conformal limits.

Results applicable to modeling quark-gluon plasma in heavy-ion collisions.

Abstract

We study the shear mode in the gauge/gravity correspondence at finite temperature. First, we confirm the general formula for the shear viscosity in an arbitrary background metric which includes a black hole in the fifth dimension. We then derive a general formula for the shear mode relaxation time which appears in the theory of relativistic dissipative fluid dynamics; it agrees with known expressions in the limit of conformal fields. These results may be useful in relativistic viscous fluid descriptions of high energy nuclear collisions at RHIC and LHC.