Gravitation,thermodynamics, and the bound on viscosity |
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Authors: | Shahar Hod |
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Institution: | 1.The Ruppin Academic Center,Emeq Hefer,Israel;2.The Hadassah Institute,Jerusalem,Israel |
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Abstract: | The anti-de Sitter/conformal field theory (AdS/CFT) correspondence implies that small perturbations of a black hole correspond
to small deviations from thermodynamic equilibrium in a dual field theory. For gauge theories with an Einstein gravity dual,
the AdS/CFT correspondence predicts a universal value for the ratio of the shear viscosity to the entropy density, η/s = 1/4π. It was conjectured recently that all fluids conform to the lower bound η/s ≥ 1/4π. This conjectured bound has been the focus of much recent attention. However, despite the flurry of research in this field we still lack a
proof for the general validity of the bound. In this essay we show that this mysterious bound is actually a direct outcome
of the interplay between gravity, quantum theory, and thermodynamics. |
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