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 |
|---|---|
| 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
Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence. / Maeda, Kengo; Natsuume, Makoto; Okamura, Takashi.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 73, No. 6, 066013, 2006.Research output: Contribution to journal › Article
}
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
AN - SCOPUS:33645220388
VL - 73
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 6
M1 - 066013
ER -