Anomalies in fluid dynamics: flows in a chiral background via variational principle
Anomalies in fluid dynamics: flows in a chiral background via variational principle
复制标题
流体动力学异常：通过变分原理在手性背景中流动
DOI：
10.1088/1751-8121/ac9202
复制
发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Wiegmann, P B
中科院分区：
文献类型：
--
作者：
Abanov, A G;Wiegmann, P B
研究了正压完美流体在电磁场和轴矢量势（外场与流体螺旋度共轭）共同作用下的流动。我们得到了欧拉方程由轴矢量势引起的变形，以及各种电流在两个外场作用下的变形。我们证明了矢量和轴向电流的散度是由狄拉克费米子量子场论中已知的手性异常控制的。我们将理想流体正压流动的变分原理与外部轴矢量势耦合，得到了这些结果。
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.