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

Giuseppe Policastro | Zendy; D. Son | Zendy; Andrei O. Starinets | Zendy

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

Author(s) -

Giuseppe Policastro,

D. Son,

Andrei O. Starinets

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/12/054

Subject(s) - physics , cauchy stress tensor , mathematical physics , duality (order theory) , tensor (intrinsic definition) , attenuation , supergravity , diagonal , gauge (firearms) , quantum electrodynamics , stress–energy tensor , gauge theory , classical mechanics , quantum mechanics , supersymmetry , geometry , mathematics , pure mathematics , exact solutions in general relativity , archaeology , history

As a non-trivial check of the non-supersymmetric gauge/gravity duality, weuse a near-extremal black brane background to compute the retarded Green'sfunctions of the stress-energy tensor in N=4 super-Yang-Mills (SYM) theory atfinite temperature. For the long-distance, low-frequency modes of the diagonalcomponents of the stress-energy tensor, hydrodynamics predicts the existence ofa pole in the correlators corresponding to propagation of sound waves in theN=4 SYM plasma. The retarded Green's functions obtained from gravity do indeedexhibit this pole, with the correct values for the sound speed and the rate ofattenuation.Comment: 18 pages, 2 figures; typos in eqs. 3.4d and 3.5d correcte

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