From AdS/CFT correspondence to hydrodynamics. II. Sound waves

Details From AdS/CFT correspondence to hydrodynamics. II. Sound waves From AdS/CFT correspondence to hydrodynamics. II. Sound waves

2002-10-22

arxiv.org/abs/hep-th/0210220v3

JHEP 0212:054,2002

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 2 figures; typos in eqs. 3.4d and 3.5d corrected

Scientific paper

10.1088/1126-6708/2002/12/054

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 N=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 N=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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