论文标题
汉密尔顿的流体动力学手性异常原理
Hamilton Principle for Chiral Anomalies in Hydrodynamics
论文作者
论文摘要
我们开发了时空的汉密尔顿原理，用于外部轴向矢量电势与螺旋电流中的完美流体的正压流。这样的流带有螺旋性，是手性失衡，由轴向电势控制。最近的观察结果是，这种环境的兴趣是，量子场理论的轴向电流异常具有狄拉克·费米子（Dirac Fermions）似乎是经典水动力学的运动特性。在电磁场的同时作用和轴向矢量电位的同时作用下发生了特别有趣的效果。借助汉密尔顿原理，我们通过轴向电势并得出轴向和矢量电流差异的异常来获得Euler方程的扩展。我们的方法为向量和轴向电流提供了流体动力表达，并放下了一个平台，用于研究手性失衡及其异常的流动。
We developed the spacetime-covariant Hamilton principle for barotropic flows of a perfect fluid in the external axial-vector potential conjugate to the helicity current. Such flows carry helicity, a chiral imbalance, controlled by the axial potential. The interest in such a setting is motivated by the recent observation that the axial-current anomaly of quantum field theories with Dirac fermions appears as a kinematic property of classical hydrodynamics. Especially interesting effects occur under the simultaneous actions of the electromagnetic field and the axial-vector potential. With the help of the Hamilton principle, we obtain the extension of the Euler equations by the axial potential and derive anomalies in the divergence of the axial and vector current. Our approach provides a hydrodynamic expression for vector and axial currents and lays down a platform for studying flows with a chiral imbalance and their anomalies.
