Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
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来自维格纳函数形式的大质量自旋 1/2 粒子的动力学理论
DOI：
10.1103/physrevd.100.056018
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发表时间：
2019
影响因子：
5
通讯作者：
Rischke Dirk H
中科院分区：
文献类型：
--
作者：
Weickgenannt Nora;Sheng Xin li;Speranza Enrico;Wang Qun;Rischke Dirk H
我们将非均匀电磁场中大质量粒子的维格纳函数计算为普朗克常数的前导阶。超越主阶，我们推导出广义玻尔兹曼方程，其中不均匀电磁场对粒子偶极矩施加的力自然产生。此外，还推导了该偶极矩的动力学方程。仔细考虑无质量极限，我们发现与之前的结果一致。还研究了具有旋转的全局平衡的情况。最后，我们概述了从维格纳函数的组成部分推导流体动力学方程。总角动量守恒被推广为附加的流体动力学运动方程。我们的框架可用于研究相对论性重离子碰撞中由涡度和磁场引起的极化效应。
We calculate the Wigner function for massiveparticles in an inhomogeneous electromagnetic field to leading order in the Planck constant. Going beyond leading order inwe 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. Finally, we outline the derivation of fluid-dynamical equations from the components of the Wigner function. The conservation of total angular momentum is promoted as an additional fluid-dynamical equation of motion. Our framework can be used to study polarization effects induced by vorticity and magnetic field in relativistic heavy-ion collisions.