Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence

被引:94
作者
Maeda, K [1 ]
Natsuume, M
Okamura, T
机构
[1] Kobe City Coll Technol, Dept Gen Educ, Kobe, Hyogo 6512194, Japan
[2] High Energy Accelerator Res Org, KEK, Inst Particle & Nucl Studies, Div Theory, Tsukuba, Ibaraki 3050801, Japan
[3] Kwansei Gakuin Univ, Dept Phys, Sanda 6691337, Japan
[4] Sogang Univ, CQUeST, Seoul, South Korea
[5] Hanyang Univ, Seoul 133791, South Korea
来源
PHYSICAL REVIEW D | 2006年 / 73卷 / 06期
关键词
D O I
10.1103/PhysRevD.73.066013
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We compute the strong coupling limit of the shear viscosity for the N = 4 super-Yang-Mill theory with a chemical potential. We use the five-dimensional Reissner-Nordstrom-anti-deSitter black hole, so the chemical potential is the one for the R-charges U(1)(R)(3). We compute the quasinormal frequencies of the gravitational and electromagnetic vector perturbations in the background numerically. This enables one to explicitly locate the diffusion pole for the shear viscosity. The ratio of the shear viscosity eta to the entropy density s is eta/s = 1/(4 pi) within numerical errors, which is the same result as the one without chemical potential.
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页数:8
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