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

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.

Revised version

References in corpus (2)

• The SiRi Particle-Telescope System
• Experimental constraints on the $\gamma$-ray strength function in ${}^{90}$Zr using partial cross sections of the ${}^{89}$Y(p,$\gamma$)${}^{90}$Zr reaction

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