We develop a covariant kinetic theory for massive fermions in a curved spacetime and an external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate to \begin{document}$O(\hbar)$\end{document} , which describe the transports of particle number and spin degrees of freedom. The relationship with chiral kinetic theory is discussed. As an application, we study spin polarization in the presence of finite Riemann curvature and an electromagnetic field in both local and global equilibrium states.

中文翻译：

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协变自旋动力学理论 I：无碰撞极限

我们为弯曲时空中的大量费米子和基于量子场理论的外部电磁场开发了协变动力学理论。我们推导出四个耦合的半经典动力学方程，精确到 \begin{document}$O(\hbar)$\end{document} ，它们描述了粒子数和自旋自由度的传输。讨论了与手性动力学理论的关系。作为一个应用，我们研究了在有限黎曼曲率和局部和全局平衡状态下的电磁场存在的情况下的自旋极化。