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

被引：212

作者：

Policastro, G

Son, DT

Starinets, AO

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 0WA, England

[2] Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2002年 / 12期

关键词：

black holes in string theory; AdS-CFT and dS-CFT correspondence;

D O I：

10.1088/1126-6708/2002/12/054

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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.

引用

页码：1175 / 1190

页数：16