Shear Viscosity from Effective Couplings of Gravitons

Abstract

We calculate the shear viscosity of field theories with gravity duals using Kubo-formula by calculating the Green function of dual transverse gravitons and confirm that the value of the shear viscosity is fully determined by the effective coupling of transverse gravitons on the horizon. We calculate the effective coupling of transverse gravitons for Einstein and Gauss-Bonnet gravities coupled with matter fields, respectively. Then we apply the resulting formula to the case of AdS Gauss-Bonnet gravity with $F^4$ term corrections of Maxwell field and discuss the effect of $F^4$ terms on the ratio of the shear viscosity to entropy density.

18 pages, 1 figure; references added, to appear in PRD

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Cited by in corpus (7)

• Lovelock black holes with a nonlinear Maxwell field
• Shear Viscosity from Gauss-Bonnet Gravity with a Dilaton Coupling
• Higher derivative effects on eta/s at finite chemical potential
• Higher Derivative Corrections to Shear Viscosity from Graviton's Effective Coupling
• Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
• Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole
• R^2 Corrections to Asymptotically Lifshitz Spacetimes