From AdS/CFT correspondence to hydrodynamics
High Energy Physics - Theory
2011-05-05 v2 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We compute the correlation functions of R-charge currents and components of the stress-energy tensor in the strongly coupled large-N finite-temperature N=4 supersymmetric Yang-Mills theory, following a recently formulated Minkowskian AdS/CFT prescription. We observe that in the long-distance, low-frequency limit, such correlators have the form dictated by hydrodynamics. We deduce from the calculations the R-charge diffusion constant and the shear viscosity. The value for the latter is in agreement with an earlier calculation based on the Kubo formula and absorption by black branes.
Cite
@article{arxiv.hep-th/0205052,
title = {From AdS/CFT correspondence to hydrodynamics},
author = {G. Policastro and D. T. Son and A. O. Starinets},
journal= {arXiv preprint arXiv:hep-th/0205052},
year = {2011}
}
Comments
18 pages, v.2: typos corrected