Abstract

The conventional neutrino transport theory for core-collapse supernovae misses one key property of neutrinos: the left-handedness. The chirality of neutrinos modifies the hydrodynamic behavior at the macroscopic scale and leads to topological transport phenomena. We argue that such transport phenomena should play important roles in the evolution of core-collapse supernovae, and, in particular, lead to a tendency toward the inverse energy cascade from small to larger scales, which may be relevant to the origin of the supernova explosion.

Highlights

  • The core-collapse supernova explosion, which is the transition of a massive star into a neutron star, is one of the most energetic explosions in the Universe

  • This explosion is important to release various elements produced by nuclear fusions inside the massive star into the space

  • We argued the importance of chiral transport of neutrinos in supernovae

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Summary

Introduction

The core-collapse supernova explosion, which is the transition of a massive star into a neutron star, is one of the most energetic explosions in the Universe. Since parity is violated in the microscopic theory, parity must be violated in the kinetic theory (and hydrodynamics if applicable) for left-handed neutrinos Such chiral effects have been completely ignored in the conventional transport theory in astrophysics, the modified kinetic theory and hydrodynamics that take into account these effects have been constructed in the areas of nuclear and particle physics and are called the chiral kinetic theory [4,5,6,7] and chiral (or anomalous) hydrodynamics [8], respectively. We will ignore the neutrino mass for simplicity, as it is much smaller than its typical energy scale in supernovae

Chiral vortical effect
Berry curvature
Chiral kinetic theory
Neutrino matter as a chiral quantum liquid
Chiral hydrodynamics for neutrino matter
Chiral turbulence
Conclusion

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