标题： 手征运动方程的质量修正 显示英文标题

标题： Mass Correction to Chiral Kinetic Equations

摘要： 我们研究电磁场中费米子质量修正对手征动力学方程的影响。 不同于手征极限中费米子数密度是唯一的独立分布，在具有质量的费米子系统中，数密度和自旋密度相互耦合。 对于$\hbar$的一阶项，我们推导了经典满足壳条件的量子修正以及玻尔兹曼型输运方程。 对于费米子质量的一阶项，质量修正不会改变手征动力学方程的结构，其表现如同额外的碰撞项。 虽然在一般的电磁场中质量修正在经典层面上已经存在，但在研究手征磁效应时，它仅是一个一阶量子修正。 显示英文摘要

摘要： We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each other for massive fermion systems. To the first order in $\hbar$, we derived the quantum correction to the classical on-shell condition and the Boltzmann-type transport equations. To the linear order in the fermion mass, the mass correction does not change the structure of the chiral kinetic equations and behaves like additional collision terms. While the mass correction exists already at classical level in general electromagnetic fields, it is only a first order quantum correction in the study of chiral magnetic effect.