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arXiv 1008.4142hep-th
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全息超流体的剪切粘度

The shear viscosity of holographic superfluids

Makoto Natsuume, Masahiro Ohta

摘要:

我们研究了各种全息超流体的剪切粘度与熵密度的比值。对于s波的情况,该比率具有与在各种全息模型中一样的通用值1/(4pi)。对于p波情形,由于边界时空的各向异性,存在两个剪切粘性系数,其中一个系数具有普适值。对于(p+ip)波的情形,由于不存在与杨-米尔斯微扰相对应的度量微扰的张量模,因此现有的方法不适用。结果表明,全息超流体的剪切粘度在临界点处没有表现出奇异性。

英文摘要:

We study the ratio of the shear viscosity to the entropy density for various holographic superfluids. For the s-wave case, the ratio has the universal value 1/(4pi) as in various holographic models. For the p-wave case, there are two shear viscosity coefficients because of the anisotropic boundary spacetime, and one coefficient has the universal value. For the (p+ip)-wave case, the existing technique is not applicable since there is no tensor mode of metric perturbations which decouples from Yang-Mills perturbations. Our results indicate that the shear viscosity does not show a singular behavior at the critical point for holographic superfluids.

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