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GRAVITATION, THERMODYNAMICS, AND THE BOUND ON VISCOSITY

机译:重力作用,热力学和黏度界限

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摘要

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.
机译:Anti-de Sitter /共形场理论(AdS / CFT)对应关系表示,黑洞的小扰动对应于双场理论中与热力学平衡的较小偏差。对于具有爱因斯坦引力对偶的规范理论,AdS / CFT对应关系预测剪切粘度与熵密度之比的通用值η/ s = 1 /4π。最近推测所有流体都符合下限:η/ s≥1 /4π。这种猜想的界限一直是近期关注的焦点。但是,尽管在这一领域的研究非常繁忙,但我们仍然缺乏界线一般有效性的证明。在本文中,我们证明了这种神秘的界限实际上是引力,量子理论和热力学之间相互作用的直接结果。

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