Effective actions for anomalous hydrodynamics
Effective actions for anomalous hydrodynamics
复制标题
DOI：
10.1007/jhep03(2014)034
复制
发表时间：
2013-12
影响因子：
5.4
通讯作者：
Felix M. Haehl;R. Loganayagam;Mukund Rangamani
中科院分区：
文献类型：
--
作者：
Felix M. Haehl;R. Loganayagam;Mukund Rangamani
我们认为，局部流体元素的有效场论捕获了由于基础微观理论中量子异常的存在而对流体动力输运的限制。着眼于任意风味群的全局电流异常，我们推导出任意偶数维度上的异常本构关系。我们证明，我们的结果与迄今为止使用热力学第二定律的局部版本导出的异常控制传输的约束一致。该结构关键地利用了异常流入机制，并涉及一种新颖的热场双重结构。特别是，我们表明，异常的沃德恒等式需要施温格-凯尔迪什轮廓的两个部分之间发生非平凡的相互作用。
We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies for an arbitrary flavour group, we derive the anomalous constitutive relations in arbitrary even dimensions. We demonstrate that our results agree with the constraints on anomaly governed transport derived hitherto using a local version of the second law of thermodynamics. The construction crucially uses the anomaly inflow mechanism and involves a novel thermofield double construction. In particular, we show that the anomalous Ward identities necessitate non-trivial interaction between the two parts of the Schwinger-Keldysh contour.