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.
Highlights
One of the most important properties of neutrinos in the Standard Model of particle physics is the left-handedness
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
Summary
One of the most important properties of neutrinos in the Standard Model of particle physics is the left-handedness. Starting from the underlying quantum field theory, the authors of this paper have systematically constructed the neutrino radiation transport theory incorporating the effects of chirality. 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 this solution, we analytically derive the nonequilibrium corrections of the neutrino energy-momentum tensor and current induced by magnetic fields through the neutrino absorption on nucleons. II, we take ħ 1⁄4 c 1⁄4 kB 1⁄4 1 except where the ħ expansion is shown
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