Shear Viscosity from Effective Couplings of Gravitons
High Energy Physics - Theory
2008-12-30 v2
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 term corrections of Maxwell field and discuss the effect of terms on the ratio of the shear viscosity to entropy density.
Keywords
Cite
@article{arxiv.0811.1665,
title = {Shear Viscosity from Effective Couplings of Gravitons},
author = {Rong-Gen Cai and Zhang-Yu Nie and Ya-Wen Sun},
journal= {arXiv preprint arXiv:0811.1665},
year = {2008}
}
Comments
18 pages, 1 figure; references added, to appear in PRD