Causal three-point functions and nonlinear second-order hydrodynamic coefficients in AdS/CFT

Abstract

In the context of $\mathcal{N}=4$ SYM, we compute the finite 't Hooft coupling $\lambda$ correction to the non-linear second-order hydrodynamic coefficient ${\lambda }_3$ from a Kubo formula based on fully retarded three-point functions using AdS/CFT. Although ${\lambda }_3$ is known to vanish in the infinite 't Hooft coupling limit, we find that the finite $\lambda$ correction is non-zero. We also present a set of Kubo formulae for the non-linear coefficients ${\lambda }_{1,2,3}$, which is more convenient than the one that has appeared recently elsewhere.

typos corrected, a reference added

References in corpus (10)

• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Second order hydrodynamic coefficients from kinetic theory
• Spectral sum rules for the quark-gluon plasma
• Universal holographic hydrodynamics at finite coupling
• Large rotating AdS black holes from fluid mechanics
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Real-time gauge/gravity duality and ingoing boundary conditions
• Relaxation time of a CFT plasma at finite coupling
• Higher derivative corrections to near-extremal black holes in type IIB supergravity

Cited by in corpus (17)

• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Constructing higher-order hydrodynamics: The third order
• Anomaly/Transport in an Ideal Weyl gas
• From strong to weak coupling in holographic models of thermalization
• Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
• On the universal identity in second order hydrodynamics
• Thermodynamical second-order hydrodynamic coefficients
• Relativistic Fluid Dynamics In and Out of Equilibrium -- Ten Years of Progress in Theory and Numerical Simulations of Nuclear Collisions
• Hall viscosity from gauge/gravity duality
• Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids
• Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity
• Universality of second order transport in Gauss-Bonnet gravity
• Holographic constraints on Bjorken hydrodynamics at finite coupling
• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• 4-point correlators in finite-temperature AdS/CFT: jet quenching correlations
• Two theorems for the gradient expansion of relativistic hydrodynamics
• Conformal quantum mechanics and holographic quench