General Quantum Field Theory of Flavor Mixing and Oscillations
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 qu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-02-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/3/51 |
| _version_ | 1827605019321434112 |
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| author | Chueng-Ryong Ji Yuriy Mishchenko |
| author_facet | Chueng-Ryong Ji Yuriy Mishchenko |
| author_sort | Chueng-Ryong Ji |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T06:13:45Z |
| format | Article |
| id | doaj.art-8221877069424120be0832aaa9888412 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T06:13:45Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-8221877069424120be0832aaa98884122023-12-03T11:56:07ZengMDPI AGUniverse2218-19972021-02-01735110.3390/universe7030051General Quantum Field Theory of Flavor Mixing and OscillationsChueng-Ryong Ji0Yuriy Mishchenko1Department of Physics, North Carolina State University, Raleigh, NC 27695-8202, USAAmazon.com Inc., 101 Main St., Cambridge, MA 02142, USAWe 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.https://www.mdpi.com/2218-1997/7/3/51quantum field theoryflavor mixing and oscillationsnontrivial vacuum |
| spellingShingle | Chueng-Ryong Ji Yuriy Mishchenko General Quantum Field Theory of Flavor Mixing and Oscillations Universe quantum field theory flavor mixing and oscillations nontrivial vacuum |
| title | General Quantum Field Theory of Flavor Mixing and Oscillations |
| title_full | General Quantum Field Theory of Flavor Mixing and Oscillations |
| title_fullStr | General Quantum Field Theory of Flavor Mixing and Oscillations |
| title_full_unstemmed | General Quantum Field Theory of Flavor Mixing and Oscillations |
| title_short | General Quantum Field Theory of Flavor Mixing and Oscillations |
| title_sort | general quantum field theory of flavor mixing and oscillations |
| topic | quantum field theory flavor mixing and oscillations nontrivial vacuum |
| url | https://www.mdpi.com/2218-1997/7/3/51 |
| work_keys_str_mv | AT chuengryongji generalquantumfieldtheoryofflavormixingandoscillations AT yuriymishchenko generalquantumfieldtheoryofflavormixingandoscillations |