From strong to weak coupling in holographic models of thermalization

Abstract

We investigate the analytic structure of thermal energy-momentum tensor correlators at large but finite coupling in quantum field theories with gravity duals. We compute corrections to the quasinormal spectra of black branes due to the presence of higher derivative $R^2$ and $R^4$ terms in the action, focusing on the dual to $\mathcal{N}=4$ SYM theory and Gauss-Bonnet gravity. We observe the appearance of new poles in the complex frequency plane at finite coupling. The new poles interfere with hydrodynamic poles of the correlators leading to the breakdown of hydrodynamic description at a coupling-dependent critical value of the wave-vector. The dependence of the critical wave vector on the coupling implies that the range of validity of the hydrodynamic description increases monotonically with the coupling. The behavior of the quasinormal spectrum at large but finite coupling may be contrasted with the known properties of the hierarchy of relaxation times determined by the spectrum of a linearized kinetic operator at weak coupling. We find that the ratio of a transport coefficient such as viscosity to the relaxation time determined by the fundamental non-hydrodynamic quasinormal frequency changes rapidly in the vicinity of infinite coupling but flattens out for weaker coupling, suggesting an extrapolation from strong coupling to the kinetic theory result. We note that the behavior of the quasinormal spectrum is qualitatively different depending on whether the ratio of shear viscosity to entropy density is greater or less than the universal, infinite coupling value of $\hslash /4\pi k_B$. In the former case, the density of poles increases, indicating a formation of branch cuts in the weak coupling limit, and the spectral function shows the appearance of narrow peaks. We also discuss the relation of the viscosity-entropy ratio to conjectured bounds on relaxation time in quantum systems.

V2: 53 pages, 31 figures. References added

References in corpus (23)

• 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
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Viscosity Bound and Causality Violation
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Universal Bound on Dynamical Relaxation Times and Black-Hole Quasinormal Ringing
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• Universal holographic hydrodynamics at finite coupling
• Shear Modes, Criticality and Extremal Black Holes
• Thermal spectral functions of strongly coupled N=4 supersymmetric Yang-Mills theory
• Causality and Hyperbolicity of Lovelock Theories
• Shear viscosity of boost invariant plasma at finite coupling
• Lovelock theories, holography and the fate of the viscosity bound
• Equilibration rates in a strongly coupled nonconformal quark-gluon plasma
• Holography and the sound of criticality
• Relaxation time of a CFT plasma at finite coupling
• Second order hydrodynamics of a CFT plasma from boost invariant expansion
• Quasinormal modes and the phase structure of strongly coupled matter
• Simulation of Black Hole Collisions in Asymptotically AdS Spacetimes
• Statistics of thermalization in Bjorken Flow

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