Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma

Details Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma

2001-04-06

arxiv.org/abs/hep-th/0104066v2

Phys.Rev.Lett.87:081601,2001

Physics

High Energy Physics

High Energy Physics - Theory

4 pages; small changes, to appear in PRL

Scientific paper

10.1103/PhysRevLett.87.081601

Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity \eta 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 \eta=\pi/8 N^2T^3. We conjecture that for finite 't Hooft coupling (g_YM)^2N the shear viscosity is \eta=f((g_YM)^2N) N^2T^3, where f(x) is a monotonic function that decreases from O(x^{-2}\ln^{-1}(1/x)) at small x to \pi/8 when x\to\infty.

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