arXiv 1107.07322011-07-04hep-thastro-ph.COgr-qcnucl-th

流体力学的有效场论：Wess-Zumino项和二维时空中的反常

Effective field theory for hydrodynamics: Wess-Zumino term and anomalies in two spacetime dimensions

Sergei Dubovsky, Lam Hui, Alberto Nicolis

备注：: 9 pages

摘要：

我们发展的形式主义，将量子异常的有效场论的非耗散流体。我们考虑的效果，增加了一个Wess-Zumino-like长期的低能量有效的行动，占异常。在本文中，我们限制到两个时空维。我们发现电流和应力-能量张量的本构关系的修改，更有趣的是，半个新的传播模式（一个半声音）：一个左或右移动波的传播速度与异常系数为零。与四维中的手征磁波不同，这种模式即使在没有外部场的情况下也能传播。我们检查我们的结果对一个更标准的，纯粹的流体动力学推导。有效场论的统一性给出了流体力学中异常系数的一个上限。

英文摘要：

We develop the formalism that incorporates quantum anomalies in the effective field theory of non-dissipative fluids. We consider the effect of adding a Wess-Zumino-like term to the low-energy effective action to account for anomalies. In this paper we restrict to two spacetime dimensions. We find modifications to the constitutive relations for the current and the stress-energy tensor, and, more interestingly, half a new propagating mode (one-and-a-halfth sound): a left- or right-moving wave with propagation speed that goes to zero with the anomaly coefficient. Unlike for the chiral magnetic wave in four dimensions, this mode propagates even in the absence of external fields. We check our results against a more standard, purely hydrodynamical derivation. Unitarity of the effective field theory suggests an upper bound on the anomaly coefficient in hydrodynamics.

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