From AdS/CFT correspondence to hydrodynamics
From AdS/CFT correspondence to hydrodynamics
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.
black holes in string theory, adS-CFT and dS-CFT correspondence, thermal field theory
1-15
Policastro, Giuseppe
fc891dda-8f78-4b85-bfa6-3b50489ad69b
Son, Dam T.
56be33e8-2897-4adb-a75d-c58453f93702
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
1 October 2002
Policastro, Giuseppe
fc891dda-8f78-4b85-bfa6-3b50489ad69b
Son, Dam T.
56be33e8-2897-4adb-a75d-c58453f93702
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
Policastro, Giuseppe, Son, Dam T. and Starinets, Andrei O.
(2002)
From AdS/CFT correspondence to hydrodynamics.
Journal of High Energy Physics, 9 (43), .
(doi:10.1088/1126-6708/2002/09/043).
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.
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Published date: 1 October 2002
Keywords:
black holes in string theory, adS-CFT and dS-CFT correspondence, thermal field theory
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Local EPrints ID: 49099
URI: http://eprints.soton.ac.uk/id/eprint/49099
PURE UUID: 7214bb62-3dbe-427e-9e26-126e8602d394
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Date deposited: 23 Oct 2007
Last modified: 15 Mar 2024 09:53
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Author:
Giuseppe Policastro
Author:
Dam T. Son
Author:
Andrei O. Starinets
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