论文标题
完美电磁和手性流体的螺旋性保护
Helicity conservation in perfect electromagnetic and chiral fluids
论文作者
论文摘要
我们得出完美电磁相对论流体的总螺旋性保护法。由于保护方程包含磁性螺旋的衍生物，因此，如果流体是等性的，则可以重塑与手性异常相同的形式。我们还采用了螺旋性保护法的非相关性极限，并在零温度下与Abanov-Wiegmann方程进行检查，但在更一般的情况下，我们提供了进一步的校正。然后，当必须将手性异常方程纳入流体动力方程中时，我们考虑手性流体，以及在存在手性失衡的情况下存在的其他手性转运效应。我们最终研究了手性失衡如何改变螺旋性保护法。
We derive the total helicity conservation law for a perfect electromagnetic relativistic fluid. As the conservation equation contains the derivative of the magnetic helicity, it can be reshaped as having the same form as the chiral anomaly equation if the fluid is isentropic. We also take the non-relativistic limit of the helicity conservation law, and check the agreement with the Abanov-Wiegmann equation at zero temperature, but we provide further corrections in the more general case. We then consider chiral fluids, when the chiral anomaly equation has to be incorporated in the hydrodynamical equations, together with other chiral transport effects which exist in the presence of a chiral imbalance. We finally study how the chiral imbalance modifies the helicity conservation law.
