From AdS/CFT correspondence to hydrodynamics. II. sound waves
From AdS/CFT correspondence to hydrodynamics. II. sound waves
As a non-trivial check of the non-supersymmetric gauge/gravity duality, we use a near-extremal black brane background to compute the retarded Green's functions of the stress-energy tensor in = 4 super-Yang-Mills (SYM) theory at finite temperature. For the long-distance, low-frequency modes of the diagonal components of the stress-energy tensor, hydrodynamics predicts the existence of a pole in the correlators corresponding to propagation of sound waves in the = 4 SYM plasma. The retarded Green's functions obtained from gravity do indeed exhibit this pole, with the correct values for the sound speed and the rate of attenuation
black holes in string theory, AdS-CFT and dS-CFT correspondence
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
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. II. sound waves.
Journal of High Energy Physics, 12 (54), .
(doi:10.1088/1126-6708/2002/12/054).
Abstract
As a non-trivial check of the non-supersymmetric gauge/gravity duality, we use a near-extremal black brane background to compute the retarded Green's functions of the stress-energy tensor in = 4 super-Yang-Mills (SYM) theory at finite temperature. For the long-distance, low-frequency modes of the diagonal components of the stress-energy tensor, hydrodynamics predicts the existence of a pole in the correlators corresponding to propagation of sound waves in the = 4 SYM plasma. The retarded Green's functions obtained from gravity do indeed exhibit this pole, with the correct values for the sound speed and the rate of attenuation
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Published date: 2002
Keywords:
black holes in string theory, AdS-CFT and dS-CFT correspondence
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Local EPrints ID: 57544
URI: http://eprints.soton.ac.uk/id/eprint/57544
PURE UUID: 4809845c-7baa-4a24-8f4c-f11c12803d7e
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Date deposited: 14 Aug 2008
Last modified: 15 Mar 2024 11:07
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Author:
Giuseppe Policastro
Author:
Dam T. Son
Author:
Andrei O. Starinets
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