论文标题

Euler流体和Beltrami流动的手性异常

Chiral Anomaly in Euler Fluid and Beltrami Flow

论文作者

Wiegmann, P. B., Abanov, A. G.

论文摘要

我们表明,具有轴向背景场的量子场理论的手性异常是完美经典流体的运动学的固有特性。著名的Beltrami流(Euler方程的固定解决方案具有广泛的螺旋性)表现出与Dirac Fermions相当的手性异常。手性异常的显着作用是平衡处的传输电流。我们表明这也是Beltrami流的属性。

We show that the chiral anomaly of quantum field theories with Dirac fermions subject to an axial background field is an inherent property of kinematics of a perfect classical fluid. Celebrated Beltrami flows (stationary solutions of Euler equations with extensive helicity) exhibit the chiral anomaly equivalent to that known for Dirac fermions. A prominent effect of the chiral anomaly is the transport electric current at equilibrium. We show that it is also a property of Beltrami flows.

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