Shear Transport Coefficients from Gauge/Gravity Correspondence
arXiv:0806.4175 · doi:10.1103/PhysRevD.78.066017
Abstract
We study the shear mode in the gauge/gravity correspondence at finite temperature. First, we confirm the general formula for the shear viscosity in an arbitrary background metric which includes a black hole in the fifth dimension. We then derive a general formula for the shear mode relaxation time which appears in the theory of relativistic dissipative fluid dynamics; it agrees with known expressions in the limit of conformal fields. These results may be useful in relativistic viscous fluid descriptions of high energy nuclear collisions at RHIC and LHC.
Modifications based on helpful feedback from colleagues and referee
References in corpus (21)
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Linear Confinement and AdS/QCD
- From AdS/CFT correspondence to hydrodynamics
- Hard Scattering and Gauge/String Duality
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Quasinormal modes and holography
- Holography and hydrodynamics: diffusion on stretched horizons
- Universality of the shear viscosity in supergravity
- From AdS/CFT correspondence to hydrodynamics. II. Sound waves
- A Holographic Prediction of the Deconfinement Temperature
- 1/q^2 Corrections and Gauge/String Duality
- Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality
- Hydrodynamic Fluctuations, Long-time Tails, and Supersymmetry
- Viscous hydrodynamics relaxation time from AdS/CFT
- The Hydrodynamics of M-Theory
- The Spatial String Tension, Thermal Phase Transition, and AdS/QCD
- Quasinormal spectrum and the black hole membrane paradigm
- Some Thermodynamic Aspects of Pure Glue, Fuzzy Bags and Gauge/String Duality
- Hydrodynamics from the Dp-brane
- Absorption Lengths in the Holographic Plasma
Cited by in corpus (20)
- Quasi-Particle Theory of Shear and Bulk Viscosities of Hadronic Matter
- Melting Spectral Functions of the Scalar and Vector Mesons in a Holographic QCD Model
- Gravitational quasinormal modes of AdS black branes in d spacetime dimensions
- Heavy Ion Collisions with Transverse Dynamics from Evolving AdS Geometries
- Sound Mode Hydrodynamics from Bulk Scalar Fields
- Thermodynamic properties and shear viscosity over entropy density ratio of nuclear fireball in a quantum-molecular dynamics model
- Shear viscosity of hot nuclear matter by the mean free path method
- Shear viscosity to entropy density ratio in the Boltzmann-Uehling-Uhlenbeck model
- Second order hydrodynamics for a special class of gravity duals
- Anisotropic D3-D5 black holes with unquenched flavors
- Ratio of shear viscosity to entropy density in multifragmentation of Au + Au
- Dynamical AdS/Yang-Mills Model
- Estimating transport coefficients of interacting pion gas with K-matrix cross sections
- Second order transport coefficients of nonconformal relativistic fluids in various dimensions from Dp-brane
- Second order transport coefficients of nonconformal fluids from compactified Dp-branes
- Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality
- Viscosity bound versus the universal relaxation bound
- Some Comments on Relativistic Hydrodynamics and Fuzzy Bags
- Randall-Sundrum Model with a Dilaton Field at Finite Temperature
- AdS/CFT aspects of the cosmological QCD phase transition