Quantum corrections to eta/s

Abstract

We consider corrections to the ratio of the shear viscosity to the entropy density in strongly coupled nonabelian plasmas using the AdS/CFT correspondence. In particular, higher derivative terms with the five-form RR flux, which have been ignored in all previous calculations, are included. This provides the first reliable calculation of the leading order correction in the inverse 't Hooft coupling to the celebrated result eta/s=1/4pi. The leading correction in inverse powers of the number of colours is computed. Our results hold very generally for quiver gauge theories with an internal manifold L_pqr in the holographic dual. Our analysis implies that the thermal properties of these theories will not be affected by the five-form flux terms at this order.

4 pages, RevTex, v3: typos corrected, minor rewording

References in corpus (32)

• 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
• Nonlinear Fluid Dynamics from Gravity
• From AdS/CFT correspondence to hydrodynamics
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Holography and hydrodynamics: diffusion on stretched horizons
• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Universality of the shear viscosity in supergravity
• Effects of D-instantons
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Asymptotic perfect fluid dynamics as a consequence of AdS/CFT
• New Einstein-Sasaki Spaces in Five and Higher Dimensions
• Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY Yang-Mills
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• The shear viscosity of gauge theory plasma with chemical potentials
• AdS_5 x S^5 Black Hole Metric at O(alpha'^3)
• Higher derivative terms including the Ramond-Ramond five-form
• On the supergravity description of boost invariant conformal plasma at strong coupling
• On a supersymmetric completion of the R^4 term in IIB supergravity
• Relaxation time of a CFT plasma at finite coupling
• On Euclidean and Noetherian Entropies in AdS Space
• D3-branes on the Coulomb branch and instantons
• Shear viscosity of CFT plasma at finite coupling
• On alpha'-corrections to D-brane solutions
• Superfield integrals in high dimensions
• The Ramond-Ramond sector of string theory beyond leading order
• On a supersymmetric completion of the $R^4$ term in type IIB supergravity
• On the supersymmetric completion of the $R^4$ term in M-theory

Cited by in corpus (113)

• Quasinormal modes of black holes and black branes
• Quasinormal modes of black holes: from astrophysics to string theory
• Towards a derivation of holographic entanglement entropy
• Fluid dynamics of R-charged black holes
• Nearly Perfect Fluidity: From Cold Atomic Gases to Hot Quark Gluon Plasmas
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Holographic GB gravity in arbitrary dimensions
• Beyond eta/s = 1/4pi
• Black Holes in Quasi-topological Gravity
• Holographic Superconductors with Higher Curvature Corrections
• Holographic studies of quasi-topological gravity
• Causality of Holographic Hydrodynamics
• Holographic Hydrodynamics with a Chemical Potential
• Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent
• Shear Viscosity from Effective Couplings of Gravitons
• The Shear Viscosity to Entropy Ratio: A Status Report
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• Black Holes in (Quartic) Quasitopological Gravity
• On generalized gravitational entropy, squashed cones and holography
• Entanglement entropy in higher derivative holography
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Thermodynamics of black branes in asymptotically Lifshitz spacetimes
• Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• Universality of second order transport coefficients from the gauge-string duality
• Complexity Growth Rate in Lovelock Gravity
• The viscosity bound in string theory
• Finite baryon and isospin chemical potential in AdS/CFT with flavor
• All higher-curvature gravities as Generalized quasi-topological gravities
• Shear Viscosity from AdS Born-Infeld Black Holes
• Higher derivative effects on eta/s at finite chemical potential
• Relaxation time of a CFT plasma at finite coupling
• Fluid Dynamics and Viscosity in Strongly Correlated Fluids
• Hydrodynamics of spacetime and vacuum viscosity
• Linearized fluid/gravity correspondence: from shear viscosity to all order hydrodynamics
• Constraining relativistic viscous hydrodynamical evolution
• Transport coefficients, membrane couplings and universality at extremality
• STU/QCD Correspondence
• Finite coupling corrections to holographic predictions for hot QCD
• Second order hydrodynamics of a CFT plasma from boost invariant expansion
• Connecting Polyakov Loops to the Thermodynamics of $SU(N_c)$ Gauge Theories Using the Gauge-String Duality
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
• Thermalization at intermediate coupling
• Holographic thermalization in N=4 Super Yang-Mills theory at finite coupling
• Electromagnetic Quasitopological Gravities
• Diagnostics of plasma photoemission at strong coupling
• Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
• Viscosity Bound and Causality in Superfluid Plasma
• Higher curvature corrections to pole-skipping
• Conformal Holography of Bulk Elliptic Flow and Heavy Quark Quenching in Relativistic Heavy Ion Collisions
• Early thermalization, hydrodynamics and energy loss in AdS/CFT
• Constraints on AdS/CFT Gravity Dual Models of Heavy Ion Collisions
• The Quantum Viscosity Bound In Lovelock Gravity
• On the classification of Generalized Quasitopological Gravities
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• Second-Order Hydrodynamics and Universality in Non-Conformal Holographic Fluids
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• On higher derivative gravity, c-theorems and cosmology
• Non-relativistic metrics with extremal limits
• Plasma photoemission from string theory
• Holographic Rényi Entropies at Finite Coupling
• Quasi-topological Reissner-Nordström Black Holes
• Transport properties of anisotropically expanding quark-gluon plasma within a quasi-particle model
• Plasma conductivity at finite coupling
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• Holographic current correlators at finite coupling and scattering off a supersymmetric plasma
• Hydrodynamic dispersion relations at finite coupling
• Spatial correlators in strongly coupled plasmas
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Cavitation in holographic sQGP
• Surface Terms of Quasitopological Gravity and Thermodynamics of Charged Rotating Black Branes
• First order Born-Infeld Hydrodynamics via Gauge/Gravity Duality
• The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
• Non-relativistic D3-brane in the presence of higher derivative corrections
• Horizon Thermodynamics and Gravitational Field Equations in Quasi-Topological Gravity
• Higher-derivative holography with a chemical potential
• Surface Terms of Quartic Quasitopological Gravity and Thermodynamics of Nonlinear Charged Rotating Black Branes
• Shear Viscosity and Chern-Simons Diffusion Rate from Hyperbolic Horizons
• Holography of the Quark Matter Triple Point
• Fragile Black Holes
• Deep inelastic scattering cross sections from the gauge/string duality
• sQGP as hCFT
• Gravity and On-Shell Probe Actions
• Non-universal lower bound for the shear viscosity to entropy density ratio
• Higher derivative corrections to the entropic force from holography
• Reissner-Nordstrom Black Holes in Quartic Quasi-Topological Gravity Theory
• AdS${}_5$-Schwarzschild deformed black branes and hydrodynamic transport coefficients
• Holographic explorations of regular black holes in pure gravity
• $\eta /s$ at finite coupling
• Stringy Effects and the Role of the Singularity in Holographic Complexity
• Breaking rotations without violating the KSS viscosity bound
• Near-Extremal Fluid Mechanics
• Improvements to the Froissart bound from AdS/CFT
• Nuclear and Quark Matter at High Temperature
• Computing black hole partition functions from quasinormal modes
• The Double Life of Thermal QCD
• One-loop corrections to $\eta /s$ in AdS${}_4$/CFT${}_3$
• $\mathcal{N}=4$ supersymmetric Yang-Mills thermodynamics to order ${\lambda }^2$
• Thermodynamics of Quasi-Topological Cosmology
• Polyakov Loops in Strongly-Coupled Plasmas with Gravity Duals
• Gravitino and other spin-3/2 quasinormal modes in Schwarzschild-AdS spacetime
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• $R^4$ corrections to holographic Schwinger effect
• Higher-Curvature Gravity, Black Holes and Holography
• Probing the pattern of holographic thermalization with photons
• Quantum corrections to screening at strong coupling
• The correlation of WGC and Hydrodynamics bound with $R^4$ correction in the charged AdS${}_{d+2}$ black brane
• Shear viscosity of pure Yang-Mills theory at strong coupling
• Counterterms for Static Lovelock Solutions
• Viscosity to entropy density ratio: violation of the lower bound at small temperatures
• Application of top-down holographic thermal QCD at finite coupling
• Violation of the KSS Bound in Holographic Bjorken-Flow