Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect

Abstract

We systematically derive the chiral kinetic theory for chiral fermions with collisions, including the self-energy corrections, from quantum field theories. We find that the Wigner functions and chiral kinetic equations receive both the classical and quantum corrections from the self-energies and their spacetime gradients. We also apply this formalism to study nonequilibrium neutrino transport due to the interaction with thermalized electrons and nucleons, as realized in core-collapse supernovae. We derive neutrino currents along magnetic fields and neutrino spin Hall effect induced by the density gradient at first order in the Fermi constant $G_{\mathrm{F}}$ for anisotropic neutrino distributions.

24 pages, 1 figure, some typos corrected

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Cited by in corpus (2)

• Collisional corrections to spin polarization from quantum kinetic theory using Chapman-Enskog expansion
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions