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arXiv 0808.0399hep-thcond-mat.otherhep-phnucl-th
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二维非相对论共形气体的剪切粘度

Shear Viscosity of a Non-Relativistic Conformal Gas in Two Dimensions

Jiunn-Wei Chen, Wen-Yu Wen

摘要:

研究了二维非相对论共形对称费米气体的剪切粘度η。我们发现,η/s,s是熵密度,发散作为一个气体的自由粒子在这个系统中。这与使用非相对论AdS/CFT对应发现的eta/s=1/(4 pi)相反,后者需要强相互作用的CFT。这意味着在二维空间中幺正的费米气体不可能具有弱相互作用的引力对偶。

英文摘要:

The shear viscosity, eta, of a fermi gas with non-relativistic conformal symmetry in two spatial dimensions is investigated. We find that eta/s, s being the entropy density, diverges as a gas of free particles in this system. It is in contrast to the eta/s=1/(4 pi) found using non-relativistic AdS/CFT correspondence, which requires a strongly interacting CFT. It implies the unitary fermi gas in two spatial dimensions is not likely to have a weakly interacting gravity dual.

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