Hydrodynamics with gauge anomaly: Variational principle and Hamiltonian formulation
Hydrodynamics with gauge anomaly: Variational principle and Hamiltonian formulation
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具有规范异常的流体动力学：变分原理和哈密顿公式
DOI：
10.1103/physrevd.91.125033
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发表时间：
2014
影响因子：
5
通讯作者：
V. Nair
中科院分区：
文献类型：
--
作者：
G. Monteiro;A. Abanov;V. Nair
给出了具有规范反常项的相对论流体动力学与阿贝尔背景规范场耦合的变分原理。为此，我们利用速度场的Clebsch参数化。我们还建立了该理论的哈密顿表述和规范框架。虽然运动方程只涉及密度场和速度场，即Clebsch势只出现在速度场的组合中，但如果背景场是时间相关的，对称变换的生成元(包括哈密顿量)明显依赖于其中一个Clebsch势。对于与时间无关的背景场的特殊情况，这一特征是不存在的。
We present a variational principle for relativistic hydrodynamics with gauge-anomaly terms for a fluid coupled to an Abelian background gauge field. For this we utilize the Clebsch parametrization of the velocity field. We also set up the Hamiltonian formulation and the canonical framework for the theory. While the equations of motion only involve the density and velocity fields, i.e., the Clebsch potentials only appear in the combination which is the velocity field, the generators of symmetry transformations (including the Hamiltonian) depend explicitly on one of the Clebsch potentials, if the background field is time-dependent. For the special case of time-independent background fields, this feature is absent.