标题： 自旋为1/2的费米子在Wigner函数形式下的量子动力学理论 显示英文标题

标题： Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism

摘要： 我们简要概述了自旋-1/2费米子在Wigner函数形式下的动力学理论。手征和自旋动力学方程可以从Wigner函数的方程中推导出来。一个一般的Wigner函数有16个分量，它们满足32个耦合方程。对于无质量费米子，由于左手性和右手性粒子的解耦，独立方程的数量可以显著减少。可以证明，在许多Wigner函数分量及其耦合方程中，只有一个关于分布函数的动力学方程是独立的。这被称为手征费米子Wigner函数的去纠缠定理。对于有质量的费米子，结果表明一个粒子分布函数和三个自旋分布函数是独立的，并满足四个动力学方程。各种手征和自旋效应，如手征磁效应和手征涡流效应、手征分离效应、自旋极化效应，可以在该形式中一致地描述。 显示英文摘要

摘要： We give a brief overview of the kinetic theory for spin-1/2 fermions in Wigner function formulism. The chiral and spin kinetic equations can be derived from equations for Wigner functions. A general Wigner function has 16 components which satisfy 32 coupled equations. For massless fermions, the number of independent equations can be significantly reduced due to the decoupling of left-handed and right-handed particles. It can be proved that out of many components of Wigner functions and their coupled equations, only one kinetic equation for the distribution function is independent. This is called the disentanglement theorem for Wigner functions of chiral fermions. For massive fermions, it turns out that one particle distribution function and three spin distribution functions are independent and satisfy four kinetic equations. Various chiral and spin effects such as chiral magnetic and votical effects, the chiral seperation effect, spin polarization effects can be consistently described in the formalism.