Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography

Abstract

We study the convergence of the hydrodynamic series in the gravity dual of Gauss-Bonnet gravity in five dimensions with negative cosmological constant via holography. By imposing boost invariance symmetry, we find a solution to the Gauss-Bonnet equation of motion in inverse powers of the proper time, from which we can extract high order corrections to Bjorken flow for different values of the Gauss-Bonnet parameter ${\lambda }_{GB}$. As in all other known examples the gradient expansion is, at most, an asymptotic series which can be understood through applying the techniques of Borel-Padé summation. As expected from the behaviour of the quasi-normal modes in the theory, we observe that the singularities in the Borel plane of this series show qualitative features that interpolate between the infinitely strong coupling limit of $\mathcal{N}=4$ Super Yang Mills theory and the expectation from kinetic theory. We further perform the Borel resummation to constrain the behaviour of hydrodynamic attractors beyond leading order in the hydrodynamic expansion. We find that for all values of ${\lambda }_{GB}$ considered, the convergence of different initial conditions to the resummation and its hydrodynamization occur at large and comparable values of the pressure anisotropy.

arXiv comment34 pages, 21 figures. Coefficients for the gradient expansion of the energy density provided

References in corpus (41)

• Nonlinear Fluid Dynamics from Gravity
• Radial and elliptic flow at RHIC: further predictions
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Conformal collider physics: Energy and charge correlations
• Causality Constraints on Corrections to the Graviton Three-Point Coupling
• Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
• New theories of relativistic hydrodynamics in the LHC era
• The characteristics of thermalization of boost-invariant plasma from holography
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
• Beyond eta/s = 1/4pi
• Isotropization and hydrodynamization in weakly coupled heavy-ion collisions
• Higher Derivative Gravity, Causality and Positivity of Energy in a UV complete QFT
• One fluid to rule them all: viscous hydrodynamic description of event-by-event central p+p, p+Pb and Pb+Pb collisions at $\sqrt{s}=5.02$ TeV
• Fluid Dynamics far from Local Equilibrium
• Hydrodynamic gradient expansion in gauge theory plasmas
• Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
• Causality of Holographic Hydrodynamics
• On the hydrodynamic attractor of Yang-Mills plasma
• From strong to weak coupling in holographic models of thermalization
• AdS_5 x S^5 Black Hole Metric at O(alpha'^3)
• Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
• Retarded Correlators in Kinetic Theory: Branch Cuts, Poles and Hydrodynamic Onset Transitions
• Boost-invariant early time dynamics from AdS/CFT
• Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous
• (Un)attractor black holes in higher derivative AdS gravity
• Quasinormal modes of Gauss-Bonnet-AdS black holes: towards holographic description of finite coupling
• Coupling constant corrections in a holographic model of heavy ion collisions
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Elliptic flow in Pb+Pb collisions at sqrt{s_{NN}} = 2.76 TeV: hybrid model assessment of the first data
• Graviton time delay and a speed limit for small black holes in Einstein-Gauss-Bonnet theory
• A Holographic Dual of Bjorken Flow
• Finite coupling corrections to holographic predictions for hot QCD
• Holographic thermalization in N=4 Super Yang-Mills theory at finite coupling
• Holographic Collisions in Non-conformal Theories
• Holographic Isotropisation in Gauss-Bonnet Gravity
• Boundary Causality vs Hyperbolicity for Spherical Black Holes in Gauss-Bonnet
• Holographic constraints on Bjorken hydrodynamics at finite coupling

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