From AdS/CFT correspondence to hydrodynamics

Abstract

We compute the correlation functions of R-charge currents and components of the stress-energy tensor in the strongly coupled large-N finite-temperature N=4 supersymmetric Yang-Mills theory, following a recently formulated Minkowskian AdS/CFT prescription. We observe that in the long-distance, low-frequency limit, such correlators have the form dictated by hydrodynamics. We deduce from the calculations the R-charge diffusion constant and the shear viscosity. The value for the latter is in agreement with an earlier calculation based on the Kubo formula and absorption by black branes.

18 pages, v.2: typos corrected

References in corpus (7)

• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• A semi-classical limit of the gauge/string correspondence
• Hard Scattering and Gauge/String Duality
• High energy QCD scattering, the shape of gravity on an IR brane, and the Froissart bound
• Shear viscosity of hot scalar field theory in the real-time formalism
• On the Absorption by Near-Extremal Black Branes

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• Quasinormal modes and dispersion relations for quarkonium in a plasma
• Anisotropic Dyonic Black Brane and its Effects on Hydrodynamics
• 4-point correlators in finite-temperature AdS/CFT: jet quenching correlations
• Bjorken flow from an AdS Schwarzschild black hole
• Homogeneous Relaxation at Strong Coupling from Gravity
• Graviton n-point functions for UV-complete theories in Anti-de Sitter space
• Quasinormal modes of NUT-charged black branes in the AdS/CFT correspondence
• Emergent dual holographic description as a non-perturbative generalization of the Wilsonian renormalization group
• Perturbing a quantum black hole
• The D4/D8 model and holographic QCD
• Viscous Leptons in the Quark Gluon Plasma
• Universal features of Lifshitz Green's functions from holography
• Sum rules and three point functions
• A Simple Holographic Model of a Charged Lattice
• Probing AdS Wormholes by Entanglement Entropy
• Hydrodynamics of quantum spin liquids
• Shear sum rules at finite chemical potential
• Effective metric in fluid-gravity duality through parallel transport: a proposal
• Hydrodynamics in black brane with hyperscaling violation metric background
• AdS/CFT Correspondence with Heat Conduction
• Shear hydrodynamics, momentum relaxation, and the KSS bound
• Additional Light Waves in Hydrodynamics and Holography
• Emergent dual holographic description for interacting Dirac fermions in the large $N$ limit
• Non-abelian Einstein-Born-Infeld AdS black brane and color DC conductivity
• Forced Fluid Dynamics from Gravity in Arbitrary Dimensions
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
• Marginal and Irrelevant Disorder in Einstein-Maxwell backgrounds
• Non-perturbative treatment of strongly-interacting fields: insights from liquid theory
• Viscosity bound for anisotropic superfluids with dark matter sector
• Holographic systems far from equilibrium: a review
• Radiation in Fluid/Gravity and the Flat Limit
• Cosmic censorship in Lovelock theory
• Conductivities in an anisotropic medium
• Negative specific heat of black-holes from Fluid-Gravity Correspondence
• Sound waves in the compactified D0-D4 brane system
• Spectral function and quark diffusion constant in non-critical holographic QCD
• Transport coefficients of strongly coupled gauge theories: insights from string theory
• On the multiplicity distributions at LHC energies
• Color Skyrmions in the Quark-Gluon Plasma
• Rindler Fluids from Gravitational Shockwaves
• Analogue Stochastic Gravity in Strongly-Interacting Bose-Einstein Condensates
• Hyperscaling violation, quasinormal modes and shear diffusion
• Geometric Josephson junction
• Topological modes in relativistic hydrodynamics
• Electron Currents from Gradual Heating in Tilted Dirac Cone Materials
• Entanglement transfer from quantum matter to classical geometry in an emergent holographic dual description of a scalar field theory
• The momentum analyticity of two-point correlators from perturbation theory and AdS/CFT
• Long-Range Rapidity Correlations in Heavy Ion Collisions at Strong Coupling from AdS/CFT
• Non-perturbative unitarity constraints on the ratio of shear viscosity to entropy density in UV complete theories with a gravity dual
• Notes on the holographic Lifshitz theory
• Gauss-Bonnet AdS planar and spherical black hole thermodynamics and holography
• The effect of three matters on KSS bound
• Vector screening masses in the quark-gluon plasma and their physical significance
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• Holographic Aspects of Non-minimal $R{F}_{\mu \alpha }^{(a)}{F}^{(a)\mu \alpha }$ Black Brane
• Pole-skipping and chaos in D3-D7 brane systems
• Holographic charge transport in non commutative gauge theories
• New purely damped pairs of quasinormal modes in a hot and dense strongly-coupled plasma
• Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport
• Strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma on the Coulomb branch II: Transport coefficients and hard probe parameters
• Strongly coupled $\mathcal{N}=4$ super Yang-Mills plasma on the Coulomb branch I: Thermodynamics
• Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence
• Flat space compressible fluid as holographic dual of black hole with curved horizon
• Dissipative Bjorken hydrodynamics from an AdS Schwarzschild black hole
• Holographic charge diffusion in non relativistic branes
• Holographic Renormalization for Fermions in Real Time
• Stretched strings in tachyon condensation models
• Spectral Functions in Holographic Renormalization Group Flows
• Instability of a magnetized QGP sourced by a scalar operator
• Symmetry Energy from Holographic QCD
• Simple holographic dual of the Maxwell-Cattaneo model & the fate of KMS symmetry for non-hydrodynamic modes
• The sound damping constant for generalized theories of gravity
• Holographic $s$-wave condensation and Meissner-like effect in Gauss-Bonnet gravity with various non-linear corrections
• Darker and brighter branes: Suppression and enhancement of photon production in a strongly coupled magnetized plasma
• Linear responses of D0-branes via gauge/gravity correspondence
• Two theorems for the gradient expansion of relativistic hydrodynamics
• The Weak Gravity Conjecture and the Viscosity Bound with Six-Derivative Corrections
• Bulk spectral function sum rule in QCD-like theories with a holographic dual
• Beyond quantum chaos in emergent dual holography
• Higher-Curvature Gravity, Black Holes and Holography
• Influence of collective nuclear vibrations on initial state eccentricities in Pb+Pb collisions
• $U(1)$ current from the AdS/CFT: diffusion, conductivity and causality
• Parity asymmetric boost invariant plasma in AdS/CFT correspondence
• Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane
• Viscosity to entropy density ratio for non-extremal Gauss-Bonnet black holes coupled to Born-Infeld electrodynamics
• Emission of linearly polarized photons in a strongly coupled magnetized plasma from the gauge/gravity correspondence
• Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
• Diffusion constant of slowly rotating black three-brane
• External Fields and the Dynamics of Fundamental Flavours in Holographic Duals of Large N Gauge Theories
• Hydrodynamics and transport coefficients in an infrared-deformed soft-wall AdS/QCD model at finite temperature
• Wake Potential in Strong Coupling Plasma from AdS/CFT Correspondence
• Shear Viscosity in Weakly Coupled N-Component Scalar Field Theories
• Quasinormal Modes and Correlators in the Shear Channel of Spacetime-Filling Branes
• Graviton multi-point functions at the AdS boundary
• Noncommutative effects of charged black hole on holographic superconductors
• Log-rise of the Resistivity in the Holographic Kondo Model
• Rindler Fluid with Weak Momentum Relaxation
• Quantum corrections to screening at strong coupling
• Non-uniform horizons in Gauge/Gravity Duality
• Universal stress-tensor correlation functions of strongly coupled conformal fluids
• The correlation of WGC and Hydrodynamics bound with $R^4$ correction in the charged AdS${}_{d+2}$ black brane
• Solution-generating transformations in duality-invariant theories and the fluid/gravity correspondence
• Confinement/deconfinement at low temperatures and rotation in the exact soft wall model
• Transverse Shear Viscosity to Entropy Density for the General Anisotropic Black Brane in Horava-Lifshitz Gravity
• Large charge operators at large spin from relativistically rotating vortices
• Random Circuits in the Black Hole Interior
• Holographic Aspects of Non-minimal $R_{\mu \alpha \nu \beta }{F}^{(a)\mu \alpha }{F}^{(a)\nu \beta }$ AdS Black Brane
• Towards A Possible Fluid Flow Underlying the Kerr Spacetime
• Non-Abelian Exponential Yang-Mills AdS Black Brane and Transport Coefficients
• Compactified AdS black holes, Chamblin-Reall background, and their dual non-conformal relativistic fluids
• QCD, with Strings Attached
• Lifshitz hydrodynamics at generic $z$ from a moving black brane
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model
• Interplay between interaction and chiral anomaly in the holographic approach
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Magnetic monopole in a chiral plasma: chiral dyon
• Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality
• Classical and quantum temperature fluctuations via holography
• The Statics Dielectric Function and Interaction Potential In Strong Coupling With AdS/CFT
• Hadron production in electron-positron annihilation computed from the gauge gravity correspondence
• Renormalization group flow to effective quantum mechanics at IR in an emergent dual holographic description for spontaneous chiral symmetry breaking
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes
• Graviton multi-point amplitudes for higher-derivative gravity in anti-de Sitter space
• Holographic vector mesons in a hot and dense medium
• AdS black brane coupled to non-abelian logarithmic gauge theory and color DC conductivity
• A universal fermionic analogue of the shear viscosity
• Energy scales in a holographic black hole and conductivity at finite momentum
• The Effect of Bulk Dimension in the presence of String Cloud on Viscosity Bound
• A dual description of decoherence in de Sitter space
• Fluids and vortex from constrained fluctuations around C-metric black hole
• Small Amplitude Forced Fluid Dynamics from Gravity at T = 0
• Shear Viscosity to Entropy Density for a Black Brane in 5-dimensional Einstein-Yang-Mills Gravity
• Higher Spin Contributions to Holographic Fluid Dynamics in $Ad{S}_5/CF{T}_4$
• Nonlinear Yang-Mills AdS black brane and DC conductivity
• Quark-Gluon Plasma and Topological Quantum Fields Theory
• Working Group Report: Heavy-Ion Physics and Quark-Gluon Plasma
• Black holes and the quark-gluon plasma
• Fluctuating Black Hole Horizons
• Conductivity and Shear Viscosity of $arcsin$-Yang-Mills AdS Black Brane
• Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
• Anomalous Local Criticality in Heavy Fermion Metals from Holography
• Compressible Fluids in the Membrane Paradigm: non-AdS Fluid/Gravity correspondences
• Application of top-down holographic thermal QCD at finite coupling
• Non-linear instability of slowly rotating Kerr-AdS black holes
• Geometric Perturbation Theory for a Class of Fiber Bundles
• More on Topological Hydrodynamic Modes
• Hydrodynamics of Arcsin AdS Black Brane
• Causality Constraint on Noncritical Einstein-Weyl Gravity
• Time evolving fluid from Vaidya spacetime
• Time-dependent Backgrounds in String Theory and Dualities
• Effective Lifshitz black holes, hydrodynamics, and transport coefficients in fluid/gravity correspondence
• Entropy Current for the Fluid/Gravity Model of the Chiral Magnetic Effect
• Transport and response coefficients in second-order dissipative relativistic hydrodynamics with quantum corrections: probing the quark-gluon plasma
• Shear viscosity to entropy density ratio: A powerful tool for gravity theories and strongly coupled fluids
• Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient resummation
• AdS/CFT aspects of the cosmological QCD phase transition
• q-Deformed glueballs spectrum in AdS/QCD correspondence
• Counterflow and coflow instabilities in miscible binary superfluids
• Magnetic Susceptibility in Strongly Coupled Systems
• Thermal Time and Kepler's Second Law
• A note on electrical and thermodynamic properties of Isolated Horizon
• Diffusion and instabilities in large-N holographic Fermi liquids: the vector fluctuations of the electron star
• Developments in high energy theory
• On Subextensive Corrections to Fluid Dynamics from Gravity
• Conformally flat travelling plane wave solutions of Einstein equations
• Phase transitions at high and low densities for a rotating QCD matter from holography
• RG flow of AC Conductivity in Soft Wall Model of QCD
• Perturbations of anti-de Sitter black holes