TY - JOUR

T1 - Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence

AU - Maeda, Kengo

AU - Natsuume, Makoto

AU - Okamura, Takashi

N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2006

Y1 - 2006

N2 - 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-Nordström-anti-deSitter black hole, so the chemical potential is the one for the R-charges U(1)R3. 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 η to the entropy density s is η/s=1/(4π) within numerical errors, which is the same result as the one without chemical potential.

AB - 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-Nordström-anti-deSitter black hole, so the chemical potential is the one for the R-charges U(1)R3. 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 η to the entropy density s is η/s=1/(4π) within numerical errors, which is the same result as the one without chemical potential.

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U2 - 10.1103/PhysRevD.73.066013

DO - 10.1103/PhysRevD.73.066013

M3 - Article

AN - SCOPUS:33645220388

VL - 73

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 6

M1 - 066013

ER -