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Semi-classical kinetic theory for massive spin-half fermions with leading-order spin effects. (arXiv:2203.15562v2 [hep-th] UPDATED)

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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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