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Neutrino Quantum Kinetics
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Neutrino Quantum Kinetics
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We present a formulation of the quantum kinetic equations (QKEs) which govern the evolution of neutrino flavor at high density and temperature. Here, the QKEs are derived from the ground up, using fundamental neutrino interactions and quantum field theory. We show that the resulting QKEs describe coherent flavor evolution with an effective mass when inelastic scattering is negligible. The QKEs also contain a collision term. This term can reduce to the collision term in the Boltzmann equation when scattering is dominant and the neutrino effective masses and density matrices become diagonal in the interaction basis. We also find that the QKE's include equations of motion for a new dynamical quantity related to neutrino spin. This quantity decouples from the equations of motion for the density matrices at low densities or in isotropic conditions. However, the spin equations of motion allow for the possibility of coherent transformation between neutrinos and antineutrinos at high densities and in the presence of anisotropy. Although the requisite conditions for this exist in the core collapse supernova and compact object merger environments, it is likely that only a self consistent incorporation of the QKEs in a sufficiently realistic model could establish whether or not significant neutrino-antineutrino conversion occurs.
Forward citations
Cited by 6 Pith papers
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Collective neutrino-antineutrino pair oscillations
In anisotropic neutrino gases, νν-bar pairing instabilities emerge when the excessive pair-occupation number distribution changes sign, producing pair conversions at growth rates comparable to fast flavor instabilities.
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Quantum coherence lag in a hidden pseudo-Dirac sterile reservoir can freeze a physical Majoron into a metastable w≈−1 phase even when m_φ ≫ H_0.
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In post-merger disks, electron-lepton-number crossings drive fast flavor instabilities that enhance heavy lepton neutrino fluxes, while collisional instabilities are subdominant and asymmetrically raise heavy-flavor a...
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Internal pseudospin, lepton-number superselection, and neutrino--antineutrino coherence in massive neutral-fermion one-particle states
Three transformations on the four-state fixed-momentum neutrino space close an internal SU(2) algebra graded by lepton number and helicity, classifying Majorana masses and pseudo-Dirac splittings.
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Collective neutrino oscillations: Many-body non-forward effects and non-classicality
In a neutrino-gas model, the many-body Hamiltonian yields different evolution timescales and asymptotics than the quantum kinetic approach with collisions, while quantum resources for the full case sit at the low end ...
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Neutrino helicity oscillations in astrophysical environments: a many-body approach
Many-body neutrino calculations in simple momentum-state configurations yield helicity conversion probabilities orders of magnitude above mean-field results due to momentum exchange.
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