Quantum kinetic theory for dynamical spin polarization from QED-type interaction

Abstract

We investigate the dynamical spin polarization of a massless electron probing an electron plasma in locally thermal equilibrium via the Moller scattering from the quantum kinetic theory. We derive an axial kinetic equation delineating the dynamical spin evolution in the presence of the collision term with quantum corrections up to $\mathcal{O}(\hslash )$ and the leading-logarithmic order in coupling by using the hard-thermal-loop (HTL) approximation, from which we extract the spin-polarization rate induced by the spacetime gradients of the medium. When the electron probe approaches local equilibrium, we further simplify the collision term into a relaxation-time expression. Our kinetic equation may be implemented in the future numerical simulations for dynamical spin polarization.

28 pages, 1 figure, minor revisions, journal version

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• Lorentz-covariant nonlocal collision term for spin-1/2 particles
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• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Shear induced polarization: Collisional contributions
• Spin polarization and correlation of quarks from glasma
• Spin evolution of massive fermion in QED plasma
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Resummed spin hydrodynamics from quantum kinetic theory
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Photoproduction of $e^{+}{e}^{-}$ in peripheral isobar collisions
• Transverse and longitudinal spin alignment from color fields in heavy ion collisions