### Abstract

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.

Original language | English |
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Article number | 066013 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 73 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2006 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

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

*73*(6), [066013]. https://doi.org/10.1103/PhysRevD.73.066013

**Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence.** / Maeda, Kengo; Natsuume, Makoto; Okamura, Takashi.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 73, no. 6, 066013. https://doi.org/10.1103/PhysRevD.73.066013

}

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

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.

UR - http://www.scopus.com/inward/record.url?scp=33645220388&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645220388&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.73.066013

DO - 10.1103/PhysRevD.73.066013

M3 - Article

VL - 73

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 6

M1 - 066013

ER -