Shear viscosity from effective couplings of gravitons
By R. Cai, Zhang-Yu Nie, Ya-Wen Sun. 2008
174 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/4ac6b0ba80e49e8a8ec050c95316cc40325663f4
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Citations in the corpus
- Analytical study on holographic superconductors in external magnetic field (2010, background): “There is an upper positive bound for the Gauss-Bonnet coupling and beyond which the tensor type perturbation at the boundary would propagate at a superluminal velocity and the boundary theory would then become pathologic [44–54].”
- Holographic GB gravity in arbitrary dimensions (2009, methodology): “In particular, the results of [30–32] indicate that a similar well develops in the scalar channel of GB gravity for general D, e.”
- Comments on holographic entanglement entropy and RG flows (2012, background): “In part, this motivated the recent holographic studies of GaussBonnet (GB) gravity [54, 55] — for example, see [56–64].”
- Holographic Hydrodynamics with a Chemical Potential (2009, methodology): “In [42], this was extended to include both the Gauss-Bonnet term and the two independent four-F terms.”