Covariant Spin Kinetic Theory I: Collisionless Limit

Understand

We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory.

• We derive four coupled semi-classical kinetic equations accurate at $O(\hbar)$, which describe the transports of particle number and spin degrees of freedom.
• The relation with the chiral kinetic theory is discussed.
• As an application, we study the spin polarization in the presence of finite Riemann curvature and electromagnetic field in both local and global equilibrium states.