Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids

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 $\Delta =3$. 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, $\tilde{H}=2\eta {\tau }_{\pi }-2(\kappa -{\kappa }^{\ast })-{\lambda }_2$, always vanishes. We prove analytically that the Haack-Yarom identity $H=2\eta {\tau }_{\pi }-4{\lambda }_1-{\lambda }_2=0$, 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.

33 pages + 6 appendices, 5 figures; v2 as published in JHEP

References in corpus (33)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Nonlinear Fluid Dynamics from Gravity
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Viscosity, Black Holes, and Quantum Field Theory
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Mimicking the QCD equation of state with a dual black hole
• Precision holography for non-conformal branes
• Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
• Entropy Current in Conformal Hydrodynamics
• Universal hydrodynamics of non-conformal branes
• Quantum corrections to eta/s
• Second order hydrodynamic coefficients from kinetic theory
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Forced Fluid Dynamics from Gravity
• Transport coefficients for bulk viscous evolution in the relaxation time approximation
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Shear viscosity of boost invariant plasma at finite coupling
• The eightfold way to dissipation
• Hydrodynamics of Sakai-Sugimoto model in the quenched approximation
• Shear-bulk coupling in nonconformal hydrodynamics
• The ratio of shear viscosity to entropy density in generalized theories of gravity
• Quasinormal spectrum and the black hole membrane paradigm
• Relaxation time of a CFT plasma at finite coupling
• Thermodynamical second-order hydrodynamic coefficients
• An elementary stringy estimate of transport coefficients of large temperature QCD
• The magnetohydrodynamics model of twin kilohertz QPOs in LMXBs
• A note on causal hydrodynamics for M-theory branes
• Universal relations of transport coefficients from holography

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• Holographic Constraints on Generalised Rivlin-Ericksen Fluid
• Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids
• Nonperfect Carrollian Fluids Through Holography