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

Author:

Naoki Yamamoto, Di-Lun Yang

Keyword:

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Astrophysical Phenomena (astro-ph.HE), Nuclear Theory (nucl-th)

journal:

date:

2023-08-15 16:00:00

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 non-equilibrium neutrino transport due to the interaction with thermalized electrons, as realized in core-collapse supernovae. We derive neutrino currents along magnetic fields and neutrino spin Hall effect induced by temperature and chemical potential gradients of electrons at first order in the Fermi constant $G_{\rm F}$ for anisotropic neutrino distributions.

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