Chiral Radiation Transport Theory of Neutrinos

Abstract

We construct the chiral radiation transport equation for left-handed neutrinos in the context of radiation hydrodynamics for core-collapse supernovae. Based on the chiral kinetic theory incorporating quantum corrections due to the chirality of fermions, we derive a general relativistic form of the chiral transfer equation with collisions. We show that such quantum corrections explicitly break the spherical symmetry and axisymmetry of the system. In the inertial frame, in particular, we find that the so-called side jump leads to quantum corrections in the collisions between neutrinos and matter. We also derive analytic forms of such corrections in the emission and absorption rates for the neutrino absorption process. These corrections result in the generation of kinetic helicity and cross helicity of matter, which should then modify the subsequent evolution of matter. This theoretical framework can be applied to investigate the impacts of the chirality of neutrinos on the evolution of core-collapse supernovae.

21 pages, no figures, very minor revisions, journal version

References in corpus (12)

• The Chiral Magnetic Effect
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Gravitational Anomaly and Transport
• Lorentz Invariance in Chiral Kinetic Theory
• Collisions in Chiral Kinetic Theory
• Rotation-supported Neutrino-driven Supernova Explosions in Three Dimensions and the Critical Luminosity Condition
• Baryogenesis from Decaying Magnetic Helicity
• Consistent Chiral Kinetic Theory in Weyl Materials: Chiral Magnetic Plasmons
• Neutrino propagation in media: Flavor-, helicity-, and pair correlations
• The Role of the Electron Mass in Damping Chiral Magnetic Instability in Supernova and Neutron Stars
• A Detailed Comparison of Multi-Dimensional Boltzmann Neutrino Transport Methods in Core-Collapse Supernovae
• Chiral kinetic theory from Landau level basis

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• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Chiral torsional effect with finite temperature, density and curvature
• Shear induced polarization: Collisional contributions
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Second order chiral kinetic theory under gravity and antiparallel charge-energy flow
• Chiral plasma instability and inverse cascade from nonequilibrium left-handed neutrinos in core-collapse supernovae
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• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Quantum Kinetic Theory with Vector and Axial Gauge Fields
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• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Chiral gravitational waves from thermalized neutrinos in the early Universe
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