Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect. (arXiv:2308.08257v1 [hep-ph])
<a href="http://arxiv.org/find/hep-ph/1/au:+Yamamoto_N/0/1/0/all/0/1">Naoki Yamamoto</a>, <a href="http://arxiv.org/find/hep-ph/1/au:+Yang_D/0/1/0/all/0/1">Di-Lun Yang</a>
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.
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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