Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality

Abstract

We study causal hydrodynamics (Israel-Stewart theory) of gauge theory plasmas from the AdS/CFT duality. Causal hydrodynamics requires new transport coefficients (relaxation times) and we compute them for a number of supersymmetric gauge theories including the N=4 SYM. However, the relaxation times obtained from the "shear mode" do not agree with the ones from the "sound mode," which implies that the Israel-Stewart theory is not a sufficient framework to describe the gauge theory plasmas.

20 pages, ReVTeX4; v3: the sound mode results for SAdS_{4,7} added, an early interpretation based only on the shear mode changed; v6: corrected solution in Appendix B

References in corpus (16)

• Nonlinear Fluid Dynamics from Gravity
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Viscosity, Black Holes, and Quantum Field Theory
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• Simulating elliptic flow with viscous hydrodynamics
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Viscous hydrodynamics relaxation time from AdS/CFT
• String Theory and Quantum Chromodynamics
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Hydrodynamics from the Dp-brane
• Saturation of elliptic flow and shear viscosity
• The magnetohydrodynamics model of twin kilohertz QPOs in LMXBs
• A note on causal hydrodynamics for M-theory branes
• Comment on "Viscous hydrodynamics relaxation time from AdS/CFT correspondence"
• Mass Gap in Quantum Chromodynamics

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