Transport coefficients in AdS/CFT and quantum gravity corrections due to a functional measure

Abstract

The presence of a functional measure is scrutinized on both sides of the dual gauge/gravity correspondence. Corrections to the transport coefficients in relativistic hydrodynamics are obtained using the linear response procedure. In particular, using first-order hydrodynamics, the shear viscosity, entropy density, diffusion constant, and speed of sound are shown not to acquire any corrections from the functional measure of gravity, for a Minkowski background metric. On the other hand, the energy density, the pressure, the relaxation time, the bulk viscosity, the decay rate of sound waves, and coefficients of conformal traceless tensor fields, are shown to carry significant quantum corrections due to the functional measure, even for a flat background. They all acquire an imaginary part that reflects the instability of the strongly-coupled fluids on the boundary CFT. This opens up the possibility of testing quantum gravity with the quark-gluon plasma.

arXiv commentMatches version accepted at Nucl. Phys. B

References in corpus (36)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Fluctuating Glasma initial conditions and flow in heavy ion collisions
• Viscosity, Black Holes, and Quantum Field Theory
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
• Bulk viscosity of gauge theory plasma at strong coupling
• Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
• Phenomenological constraints on the transport properties of QCD matter with data-driven model averaging
• Relativistic Viscous Fluid Dynamics and Non-Equilibrium Entropy
• Critical point in the phase diagram of primordial quark-gluon matter from black hole physics
• Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality
• The stickiness of sound: An absolute lower limit on viscosity and the breakdown of second order relativistic hydrodynamics
• Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
• Entropy Production, Hydrodynamics, and Resurgence in the Primordial Quark-Gluon Plasma from Holography
• Functional Integration Over Geometries
• Novel Relaxation Time Approximation to the Relativistic Boltzmann Equation
• Nonlinear Constraints on Relativistic Fluids Far From Equilibrium
• Bulk Viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions
• Kubo Formulae for Second-Order Hydrodynamic Coefficients
• Linear response theory of relativistic hydrodynamics with spin
• New constraints for QCD matter from improved Bayesian parameter estimation in heavy-ion collisions at LHC
• Transport coefficients for the hot quark-gluon plasma at finite chemical potential ${\mu }_B$
• The nuclear configurational entropy approach to dynamical QCD effects
• Transport coefficients of the quark-gluon plasma at the critical point and across the first-order line
• Information-entropic analysis of Korteweg--de Vries solitons in the quark-gluon plasma
• A Lagrangian formulation of relativistic Israel-Stewart hydrodynamics
• The soft-gluon limit and the infrared enhancement of the quark-gluon vertex
• The emergence of flagpole and flag-dipole fermions in fluid/gravity correspondence
• Covariant singularities in Quantum Field Theory and Quantum Gravity
• AdS${}_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients
• Generalized Navier-Stokes equations and soft hairy horizons in fluid/gravity correspondence
• Fluid/gravity correspondence and the CFM black brane solutions
• One-loop corrections to $\eta /s$ in AdS${}_4$/CFT${}_3$

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