Non-conformal holographic Gauss-Bonnet hydrodynamics

TL;DR

This paper investigates the hydrodynamic properties of a non-conformal holographic plasma with unequal central charges, analyzing transport coefficients, causality, and the hydrodynamic series in a non-conformal setting.

Contribution

It provides the first detailed computation of hydrodynamic coefficients and causality constraints for non-conformal holographic plasmas with $c eq a$, including the effects of conformal symmetry breaking.

Findings

Calculated equation of state and speed of sound for non-conformal plasma.

Determined shear and bulk viscosities in the non-conformal regime.

Analyzed the asymptotic behavior of the hydrodynamic series with conformal symmetry breaking.

Abstract

We study hydrodynamics of four-dimensional non-conformal holographic plasma with non-equal central charges $c\ne a$ at the ultraviolet fixed point. We compute equation of state, the speed of sound waves, transport coefficients (shear and bulk viscosities), and discuss causality. We study the asymptotic character of the hydrodynamic series for the homogeneous and isotropic expansion of the plasma. We perform computations for finite $c-a\ne 0$, but to leading nonvanishing order in the conformal symmetry breaking coupling.