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From AdS/CFT correspondence to hydrodynamics

Giuseppe Policastro1, Dam T. Son2 and Andrei O. Starinets2

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We compute the correlation functions of R-charge currents and components of the stress-energy tensor in the strongly coupled large-N finite-temperature Script 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.


Keywords

AdS-CFT and dS-CFT Correspondence

Thermal Field Theory

Black Holes in String Theory

PACS

11.25.Hf Conformal field theory, algebraic structures

11.10.Wx Finite-temperature field theory

12.40.Ee Statistical models

11.30.Pb Supersymmetry

04.70.-s Physics of black holes

11.15.Bt General properties of perturbation theory

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 09 (September 2002)

Received 31 May 2002, accepted for publication 19 September 2002

Published 1 October 2002



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