Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian

Rephasing Invariant for Three-Neutrino Oscillations Governed by a Non-Hermitian Hamiltonian

Time-reversal symmetry is broken for mixed and possibly unstable Dirac neutrino propagation through absorbing media. This implies that interplay between the neutrino mixing, refraction, absorption and/or decay can be described by non-Hermitian quantum dynamics. We derive an identity which sets up di...

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Bibliographic Details
Published in:Symmetry (Basel) Vol. 12; no. 8; p. 1285
Main Authors: Naumov, Dmitry V., Naumov, Vadim A., Shkirmanov, Dmitry S.
Format: Journal Article
Language:English
Published: Basel MDPI AG 01-08-2020
Subjects:
Absorption
Energy
neutrino absorption
neutrino oscillations in matter
Neutrinos
Propagation
Quantum field theory
rephasing invariant
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Summary:Time-reversal symmetry is broken for mixed and possibly unstable Dirac neutrino propagation through absorbing media. This implies that interplay between the neutrino mixing, refraction, absorption and/or decay can be described by non-Hermitian quantum dynamics. We derive an identity which sets up direct connection between the fundamental neutrino parameters (mixing angles, CP-violating phase, mass-squared splittings) in vacuum and their effective counterparts in matter.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym12081285