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arXiv 1506.01899hep-th
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各向异性相的剪切粘度

The Shear Viscosity in Anisotropic Phases

Sachin Jain, Rickmoy Samanta, Sandip P. Trivedi

备注：
30 pages + 4 page appendix, 3 figures, added references
发表信息：
JHEP 28 (2015)
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摘要：

我们构造各向异性的黑膜解决方案，并分析其一些度量扰动的行为。这些解对应于场论，其中旋转对称性由于外部施加的空间恒定力而被破坏。我们发现，在几个例子中，当各向异性是足够大的温度相比，粘度张量的一些组件可以变得非常小的熵密度的单位，参数违反KSS约束。我们得到一个表达式，这些组件的粘度，在单位的熵密度，度量组件的比例在地平线上的黑膜。这个关系一般是有效的，只要强迫函数是几何不变的，并且它直接将边界的参数破坏与视界处度量的各向异性联系起来。我们的研究结果表明，这样的小组件的粘度张量也可能出现在各向异性强耦合流体中发现的性质。

英文摘要：

We construct anisotropic black brane solutions and analyse the behaviour of some of their metric perturbations. These solutions correspond to field theory duals in which rotational symmetry is broken due an externally applied, spatially constant, force. We find, in several examples, that when the anisotropy is sufficiently big compared to the temperature, some components of the viscosity tensor can become very small in units of the entropy density, parametrically violating the KSS bound. We obtain an expression relating these components of the viscosity, in units of the entropy density, to a ratio of metric components at the horizon of the black brane. This relation is generally valid, as long as the forcing function is translationally invariant, and it directly connects the parametric violation of the bound to the anisotropy in the metric at the horizon. Our results suggest the possibility that such small components of the viscosity tensor might also arise in anisotropic strongly coupled fluids found in nature.

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