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arXiv · 2203.15562

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

Arpan Das·Wojciech Florkowski·Avdhesh Kumar·Radoslaw Ryblewski·Rajeev Singh
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Abstract

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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Arpan Das, Wojciech Florkowski, Avdhesh Kumar, Radoslaw Ryblewski, Rajeev Singh. 2022-03-28. Semi-classical kinetic theory for massive spin-half fermions with leading-order spin effects. https://doi.org/10.5506/aphyspolb.54.8-a4

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