4.5 Article

The shear viscosity of the non-commutative plasma

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 7, Pages -

Publisher

SPRINGER
DOI: 10.1088/1126-6708/2007/07/088

Keywords

non-commutative geometry; AdS-CFT correspondence; thermal field theory

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We compute the shear viscosity of the non-commutative N = 4 super Yang-Mills quantum field theory at strong coupling us in g the dual supergravity background. Special interest derives fro m the fact that the background presents an intrinsic anisotropy in space through the distinction of commutative and non-commutative directions. Despite this anisotropy the analysis exhibits the ubiquitous result eta/s = 1/4 pi for two different shear channels. In order to derive this result, we show that the boundary energy momentum tensor must couple to the open string metric. As a byproduct we compute the renormalised holographic energy momentum tensor and show that it coincides with one in the commutative theory.

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