Wigner function and kinetic theory for massive spin-1/2 particles

Abstract

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hslash$. Going beyond leading order in $\hslash$ we then derive a generalized Boltzmann equation in which the force exerted by an inhomogeneous electromagnetic field on the particle dipole moment arises naturally. Furthermore, a kinetic equation for this dipole moment is derived. Carefully taking the massless limit we find agreement with previous results. The case of global equilibrium with rotation is also studied. Our framework can be used to study polarization effects induced by vorticity and magnetic field in relativistic heavy-ion collisions.

Contribution to the Proceedings of the 28th international conference on ultrarelativistic nucleus-nucleus collisions, Quark Matter 2019

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Cited by in corpus (10)

• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Chiral kinetic theory with small mass corrections and quantum coherent states
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Lepton pair production in ultra-peripheral collisions