Second-order hydrodynamics and universality in non-conformal holographic fluids

DOI10.1007/JHEP12(2016)091zbMATH Open1390.83161arXiv1610.01081MaRDI QIDQ1636663

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Publication date: 12 June 2018

Published in: (Search for Journal in Brave)

Abstract: We study second-order hydrodynamic transport in strongly coupled non-conformal field theories with holographic gravity duals in asymptotically anti-de Sitter space. We first derive new Kubo formulae for five second-order transport coefficients in non-conformal fluids in

(3 + 1)

dimensions. We then apply them to holographic RG flows induced by scalar operators of dimension

D e l t a = 3

. For general background solutions of the dual bulk geometry, we find explicit expressions for the five transport coefficients at infinite coupling and show that a specific combination,

i l d e H = 2 e t a a u_{p} i - 2 (k a p p a - k a p p a^{*}) - l a m b d a_{2}

, always vanishes. We prove analytically that the Haack-Yarom identity

H = 2 e t a a u_{p} i - 4 l a m b d a_{1} - l a m b d a_{2} = 0

, which is known to be true for conformal holographic fluids, also holds when taking into account leading non-conformal corrections. The numerical results we obtain for two specific families of RG flows suggest that

H

vanishes regardless of conformal symmetry. Our work provides further evidence that the Haack-Yarom identity

H = 0

may be universally satisfied by strongly coupled fluids.

Full work available at URL: https://arxiv.org/abs/1610.01081

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