Sound of M theory

被引:65
作者
Herzog, CP [1 ]
机构
[1] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
关键词
D O I
10.1103/PhysRevD.68.024013
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We consider sound propagation on M5- and M2-branes in the hydrodynamic limit. In particular, we look at the low energy description of a stack of N M-branes at finite temperature. At low energy, the M-branes are well described, via the AdS/conformal field theory correspondence, in terms of classical solutions to the eleven-dimensional supergravity equations of motion. From this gravitational description, we calculate Lorentzian signature two-point functions of the stress-energy tensor on these M-branes in the long-distance, low-frequency limit, i.e. the hydrodynamic limit. The poles in these Green's functions show evidence for sound propagation in the field theory living on the M-branes.
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页数:8
相关论文
共 16 条
[1]  
Gubser SS, 2001, J HIGH ENERGY PHYS
[2]   Gauge theory correlators from non-critical string theory [J].
Gubser, SS ;
Klebanov, IR ;
Polyakov, AM .
PHYSICS LETTERS B, 1998, 428 (1-2) :105-114
[3]   Coupling constant dependence in the thermodynamics of Ν=4 supersymmetric Yang-Mills theory [J].
Gubser, SS ;
Klebanov, IR ;
Tseytlin, AA .
NUCLEAR PHYSICS B, 1998, 534 (1-2) :202-222
[4]  
Herzog CP, 2003, J HIGH ENERGY PHYS
[5]   The hydrodynamics of M-theory [J].
Herzog, CP .
JOURNAL OF HIGH ENERGY PHYSICS, 2002, (12) :557-573
[6]   HYDRODYNAMIC EQUATIONS AND CORRELATION FUNCTIONS [J].
KADANOFF, LP ;
MARTIN, PC .
ANNALS OF PHYSICS, 1963, 24 (01) :419-469
[7]   Entropy of near-extremal black p-branes [J].
Klebanov, IR ;
Tseytlin, AA .
NUCLEAR PHYSICS B, 1996, 475 (1-2) :164-178
[8]   World-volume approach to absorption by non-dilatonic branes [J].
Klebanov, IR .
NUCLEAR PHYSICS B, 1997, 496 (1-2) :231-242
[9]  
Landau L.D., 1987, Hydrodynamics
[10]   D=4 super Yang-Mills, D=5 gauged supergravity and D=4 conformal supergravity [J].
Liu, H ;
Tseytlin, AA .
NUCLEAR PHYSICS B, 1998, 533 (1-3) :88-108