论文标题
Wigner函数和动力学理论，用于巨大的自旋1/2颗粒
Wigner function and kinetic theory for massive spin-1/2 particles
论文作者
论文摘要
我们计算出不均匀电磁场中大量自旋1/2颗粒的Wigner函数，以在普朗克常数$ \ hbar $中领先顺序。超出了$ \ hbar $中的领先顺序，然后我们得出了一个广义的玻尔兹曼方程，其中粒子偶极矩上的不均匀电磁场施加的力自然出现。此外，得出了该偶极矩的动力学方程。仔细采用无质量的限制，我们发现与以前的结果一致。还研究了与旋转的全球平衡情况。我们的框架可用于研究相对论重离子碰撞中涡度和磁场引起的极化效应。
We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hbar$. Going beyond leading order in $\hbar$ we then derive a generalized Boltzmann equation in which the force exerted by an inhomogeneous electromagnetic field on the particle dipole moment arises naturally. Furthermore, a kinetic equation for this dipole moment is derived. Carefully taking the massless limit we find agreement with previous results. The case of global equilibrium with rotation is also studied. Our framework can be used to study polarization effects induced by vorticity and magnetic field in relativistic heavy-ion collisions.
