Chiral Radiation Transport Theory of Neutrinos

Understand

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.