论文标题

半古典动力学理论,用于具有前阶旋转效应的巨大旋转式费米子

Semi-classical kinetic theory for massive spin-half fermions with leading-order spin effects

论文作者

Das, Arpan, Florkowski, Wojciech, Kumar, Avdhesh, Ryblewski, Radoslaw, Singh, Rajeev

论文摘要

我们考虑使用Wigner函数形式主义的量子动力学理论描述,用于相互作用的大规模旋转式费物。假设自旋效应出现在经典和量子水平上,我们得出了一般的动力学理论描述。为了跟踪这种不同贡献的效果,我们使用半古典膨胀方法获得广义动力学方程,包括自旋,类似于经典玻尔兹曼方程。该方法可用于获得系统的显微镜组成部分之间涉及局部和非本地碰撞的碰撞内核,并最终是自旋流体动力学的框架,以确保能量摩托张量和总角度动量张量的保护。

We consider the quantum kinetic-theory description for interacting massive spin-half fermions using the Wigner function formalism. We derive a general kinetic theory description assuming that the spin effects appear at the classical and quantum level. To track the effect of such different contributions we use the semi-classical expansion method to obtain the generalized dynamical equations including spin, analogous to classical Boltzmann equation. This approach can be used to obtain a collision kernel involving local as well as non-local collisions among the microscopic constituent of the system and eventually, a framework of spin hydrodynamics ensuring the conservation of the energy-momentum tensor and total angular momentum tensor.

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