English

On the universal identity in second order hydrodynamics

High Energy Physics - Theory 2017-01-03 v3 High Energy Physics - Phenomenology

Abstract

We compute the 't Hooft coupling correction to the infinite coupling expression for the second order transport coefficient λ2\lambda_2 in N=4{\cal N}=4 SU(Nc)SU(N_c) supersymmetric Yang-Mills theory at finite temperature in the limit of infinite NcN_c, which originates from the R4R^4 terms in the low energy effective action of the dual type IIB string theory. Using this result, we show that the identity involving the three second order transport coefficients, 2ητΠ4λ1λ2=02 \eta \tau_\Pi - 4 \lambda_1 - \lambda_2 =0, previously shown by Haack and Yarom to hold universally in relativistic conformal field theories with string dual descriptions to leading order in supergravity approximation, holds also at next to leading order in this theory. We also compute corrections to transport coefficients in a (hypothetical) strongly interacting conformal fluid arising from the generic curvature squared terms in the corresponding dual gravity action (in particular, Gauss-Bonnet action), and show that the identity holds to linear order in the higher-derivative couplings. We discuss potential implications of these results for the near-equilibrium entropy production rate at strong coupling.

Cite

@article{arxiv.1412.5685,
  title  = {On the universal identity in second order hydrodynamics},
  author = {Sašo Grozdanov and Andrei O. Starinets},
  journal= {arXiv preprint arXiv:1412.5685},
  year   = {2017}
}

Comments

V2: 16 pages, references added; V3: 16 pages, Published version with one additional reference

R2 v1 2026-06-22T07:36:09.846Z