Magnetic field induced neutrino chiral transport near equilibrium

Abstract

Based on the recently formulated chiral radiation transport theory for left-handed neutrinos, we study the chiral transport of neutrinos near thermal equilibrium in core-collapse supernovae. We first compute the near-equilibrium solution of the chiral radiation transport equation under the relaxation time approximation, where the relaxation time is directly derived from the effective field theory of the weak interaction. By using such a solution, we systematically derive analytic expressions for the nonequilibrium corrections of the neutrino energy-momentum tensor and neutrino number current induced by magnetic fields via the neutrino absorption on nucleons. In particular, we find the nonequilibrium neutrino energy current proportional to the magnetic field. We also discuss its phenomenological consequences such as the possible relation to pulsar kicks.

17 pages, no figures, minor revisions, journal version to appear in PRD

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Cited by in corpus (11)

• Supernova Fallback as Origin of Neutron Star Spins and Spin-kick Alignment
• Foundations and Applications of Quantum Kinetic Theory
• Chiral effects in astrophysics and cosmology
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Chiral plasma instability and inverse cascade from nonequilibrium left-handed neutrinos in core-collapse supernovae
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Effective Chiral Magnetic Effect from Neutrino Radiation
• Nonlinear chiral kinetic theory
• Chiral kinetic theory with self-energy corrections and neutrino spin Hall effect
• Strongly interacting matter in extreme magnetic fields