Giuseppe Policastro et al JHEP12(2002)054 doi:10.1088/1126-6708/2002/12/054
From AdS/CFT correspondence to hydrodynamics. II. Sound waves
Giuseppe Policastro1, Dam T. Son2 and Andrei O. Starinets2
Show affiliationsAs 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.
- Keywords
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E-print Number: hep-th/0210220
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- PACS
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11.25.Hf Conformal field theory, algebraic structures
11.25.Wx String and brane phenomenology
- Subjects
- Dates
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Issue 12 (December 2002)
Received 6 November 2002, accepted for publication 19 December 2002
Published 23 January 2003
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