Hamiltonian formulation for relativistic superfluids
Hamiltonian formulation for relativistic superfluids
复制标题
相对论超流体的哈密顿公式
DOI：
10.1088/0264-9381/11/3/021
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
D. Langlois
中科院分区：
文献类型：
--
作者：
G. Comer;D. Langlois
从基于四个标量场的作用原理出发，给出了不受任何约束的相对论超流体的哈密顿公式。主要的物理对象是两种守恒电流——一种与粒子流动有关，另一种与熵或热量流动有关。超流体状态的特征是流体的流动是无旋的。为了将运动方程的拉格朗日形式转化为哈密顿形式，必须解决三个隐式关系。我们考虑弱耦合极限，其中流体的粒子和热分量独立行为，以找到这些隐式关系的显式解。我们还研究了该理论的规范不变性。
We give a Hamiltonian formulation of relativistic superfluids free of any constraints, starting from an action principle based on four scalar fields. The main physical objects are two conserved currents---one associated with the flow of particles and the other with the flow of entropy, or heat. The superfluid state is characterized by the condition that the fluid flow be irrotational. There are three implicit relations which must be solved in order to pass from the Lagrangian to the Hamiltonian form of the equations of motion. We consider the weak coupling limit where, the particle and heat components of the fluid behave independently, to find explicit solutions of these implicit relations. We also examine the gauge invariance of the theory.