Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
Using the anti–de Sitter/conformal field theory correspondence, we relate the shear viscosity ? of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find ? = ? / 8N2T3. We conjecture that for finite ’t Hooft coupling gYM2N the shear viscosity is ? = f(gYM2N)N2T3, where f(x) is a monotonic function that decreases from O(x-2ln-1(1/x)) at small x to ?/8 when x??.
081601-[4pp]
Policastro, G.
f2598ed8-c336-4256-a581-b110d1133c00
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O.
c38a7047-d3e8-46f0-877e-a7a23534a246
20 August 2001
Policastro, G.
f2598ed8-c336-4256-a581-b110d1133c00
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O.
c38a7047-d3e8-46f0-877e-a7a23534a246
Policastro, G., Son, D.T. and Starinets, A.O.
(2001)
Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma.
Physical Review Letters, 87 (8), .
(doi:10.1103/PhysRevLett.87.081601).
Abstract
Using the anti–de Sitter/conformal field theory correspondence, we relate the shear viscosity ? of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find ? = ? / 8N2T3. We conjecture that for finite ’t Hooft coupling gYM2N the shear viscosity is ? = f(gYM2N)N2T3, where f(x) is a monotonic function that decreases from O(x-2ln-1(1/x)) at small x to ?/8 when x??.
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Published date: 20 August 2001
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Local EPrints ID: 49096
URI: http://eprints.soton.ac.uk/id/eprint/49096
ISSN: 0031-9007
PURE UUID: 10cd6c16-15f6-489c-aa1e-eba8af8e9619
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Date deposited: 23 Oct 2007
Last modified: 15 Mar 2024 09:53
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Author:
G. Policastro
Author:
D.T. Son
Author:
A.O. Starinets
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