论文标题
流体动力学中的异常：通过各种原理在手性背景中流动
Anomalies in fluid dynamics: flows in a chiral background via variational principle
论文作者
论文摘要
我们研究了电磁场的同时作用和轴向矢量电势（外部场偶联）与流体螺旋性的同时作用下的正压完美流体的流动。我们通过轴向矢量电势获得Euler方程的变形，并通过两个外部磁场对各种电流的变形。我们表明，载体和轴向电流的差异是由具有Dirac Fermions量子场理论中已知的手性异常控制的。我们通过与外部轴向矢量电势耦合到完美流体的正压流的变异原理来获得这些结果。
We study flows of barotropic perfect fluid under the simultaneous action of the electromagnetic field and the axial-vector potential, the external field conjugate to the fluid helicity. We obtain the deformation of the Euler equation by the axial-vector potential and the deformations of various currents by two external fields. We show that the divergence of the vector and axial currents are controlled by the chiral anomaly known in quantum field theories with Dirac fermions. We obtain these results by extending the variational principle for barotropic flows of a perfect fluid by coupling with the external axial-vector potential.
