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Article

General Quantum Field Theory of Flavor Mixing and Oscillations

1
Department of Physics, North Carolina State University, Raleigh, NC 27695-8202, USA
2
Amazon.com Inc., 101 Main St., Cambridge, MA 02142, USA
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Author to whom correspondence should be addressed.
Academic Editor: Giuseppe Gaetano Luciano
Universe 2021, 7(3), 51; https://doi.org/10.3390/universe7030051
Received: 15 January 2021 / Revised: 17 February 2021 / Accepted: 19 February 2021 / Published: 28 February 2021
(This article belongs to the Special Issue Recent Advances in Neutrino Physics: From Theory to Experiments)
We review the canonical transformation in quantum physics known as the Bogoliubov transformation and present its application to the general theory of quantum field mixing and oscillations with an arbitrary number of mixed particles with either boson or fermion statistics. The mixing relations for quantum states are derived directly from the definition of mixing for quantum fields and the unitary inequivalence of the Fock space of energy and flavor eigenstates is shown by a straightforward algebraic method. The time dynamics of the interacting fields is then explicitly solved and the flavor oscillation formulas are derived in a unified general formulation with emphasis on antiparticle content and effect introduced by nontrivial flavor vacuum. View Full-Text
Keywords: quantum field theory; flavor mixing and oscillations; nontrivial vacuum quantum field theory; flavor mixing and oscillations; nontrivial vacuum
MDPI and ACS Style

Ji, C.-R.; Mishchenko, Y. General Quantum Field Theory of Flavor Mixing and Oscillations. Universe 2021, 7, 51. https://doi.org/10.3390/universe7030051

AMA Style

Ji C-R, Mishchenko Y. General Quantum Field Theory of Flavor Mixing and Oscillations. Universe. 2021; 7(3):51. https://doi.org/10.3390/universe7030051

Chicago/Turabian Style

Ji, Chueng-Ryong, and Yuriy Mishchenko. 2021. "General Quantum Field Theory of Flavor Mixing and Oscillations" Universe 7, no. 3: 51. https://doi.org/10.3390/universe7030051

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