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 (7)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Nonlinear Fluid Dynamics from Gravity
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Resolving disagreement for eta/s in a CFT plasma at finite coupling
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Relaxation time of a CFT plasma at finite coupling
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Cited by in corpus (20)

• Beyond eta/s = 1/4pi
• Shear Viscosity from Effective Couplings of Gravitons
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Holographic nonlinear hydrodynamics from AdS/CFT with multiple/non-Abelian symmetries
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• 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
• Hydrodynamics of spacetime and vacuum viscosity
• Constraining relativistic viscous hydrodynamical evolution
• Second order hydrodynamics of a CFT plasma from boost invariant expansion
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
• Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• Non-relativistic metrics with extremal limits
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Non-relativistic D3-brane in the presence of higher derivative corrections
• The Double Life of Thermal QCD
• Shear viscosity of pure Yang-Mills theory at strong coupling
• Viscosity to entropy density ratio: violation of the lower bound at small temperatures