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Main Authors: Yamamoto, Naoki, Yang, Di-Lun
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2308.08257
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author Yamamoto, Naoki
Yang, Di-Lun
author_facet Yamamoto, Naoki
Yang, Di-Lun
contents 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 $G_{\rm F}$ for anisotropic neutrino distributions.
format Preprint
id arxiv_https___arxiv_org_abs_2308_08257
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
Yamamoto, Naoki
Yang, Di-Lun
High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
Nuclear Theory
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 $G_{\rm F}$ for anisotropic neutrino distributions.
title Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
topic High Energy Physics - Phenomenology
High Energy Astrophysical Phenomena
Nuclear Theory
url https://arxiv.org/abs/2308.08257