Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-11
Phys.Rev.D78:126007,2008
Physics
High Energy Physics
High Energy Physics - Theory
18 pages, 1 figure; references added, to appear in PRD
Scientific paper
10.1103/PhysRevD.78.126007
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.
Cai Rong-Gen
Nie Zhang-Yu
Sun Ya-Wen
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