Majorana neutrino as Bogoliubov quasiparticle
We suggest that the Majorana neutrino should be regarded as a Bogoliubov quasiparticle that is consistently understood only by use of a relativistic analogue of the Bogoliubov transformation. The unitary charge conjugation condition CψC†=ψ is not maintained in the definition of a quantum Majorana fe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-11-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317307633 |
| _version_ | 1818007831294509056 |
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| author | Kazuo Fujikawa Anca Tureanu |
| author_facet | Kazuo Fujikawa Anca Tureanu |
| author_sort | Kazuo Fujikawa |
| collection | DOAJ |
| description | We suggest that the Majorana neutrino should be regarded as a Bogoliubov quasiparticle that is consistently understood only by use of a relativistic analogue of the Bogoliubov transformation. The unitary charge conjugation condition CψC†=ψ is not maintained in the definition of a quantum Majorana fermion from a Weyl fermion. This is remedied by the Bogoliubov transformation accompanying a redefinition of the charge conjugation properties of vacuum, such that a C-noninvariant fermion number violating term (condensate) is converted to a Dirac mass. We also comment on the chiral symmetry of a Majorana fermion; a massless Majorana fermion is invariant under a global chiral transformation ψ→exp[iαγ5]ψ and different Majorana fermions are distinguished by different chiral U(1) charge assignments. The reversed process, namely, the definition of a Weyl fermion from a well-defined massless Majorana fermion is also briefly discussed. |
| first_indexed | 2024-04-14T05:20:57Z |
| format | Article |
| id | doaj.art-d44fd94bf7a0495b97186928cdf6ffab |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-04-14T05:20:57Z |
| publishDate | 2017-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-d44fd94bf7a0495b97186928cdf6ffab2022-12-22T02:10:11ZengElsevierPhysics Letters B0370-26931873-24452017-11-01774C27327810.1016/j.physletb.2017.09.051Majorana neutrino as Bogoliubov quasiparticleKazuo Fujikawa0Anca Tureanu1Department of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, FinlandDepartment of Physics, University of Helsinki, P.O. Box 64, FIN-00014 Helsinki, FinlandWe suggest that the Majorana neutrino should be regarded as a Bogoliubov quasiparticle that is consistently understood only by use of a relativistic analogue of the Bogoliubov transformation. The unitary charge conjugation condition CψC†=ψ is not maintained in the definition of a quantum Majorana fermion from a Weyl fermion. This is remedied by the Bogoliubov transformation accompanying a redefinition of the charge conjugation properties of vacuum, such that a C-noninvariant fermion number violating term (condensate) is converted to a Dirac mass. We also comment on the chiral symmetry of a Majorana fermion; a massless Majorana fermion is invariant under a global chiral transformation ψ→exp[iαγ5]ψ and different Majorana fermions are distinguished by different chiral U(1) charge assignments. The reversed process, namely, the definition of a Weyl fermion from a well-defined massless Majorana fermion is also briefly discussed.http://www.sciencedirect.com/science/article/pii/S0370269317307633 |
| spellingShingle | Kazuo Fujikawa Anca Tureanu Majorana neutrino as Bogoliubov quasiparticle Physics Letters B |
| title | Majorana neutrino as Bogoliubov quasiparticle |
| title_full | Majorana neutrino as Bogoliubov quasiparticle |
| title_fullStr | Majorana neutrino as Bogoliubov quasiparticle |
| title_full_unstemmed | Majorana neutrino as Bogoliubov quasiparticle |
| title_short | Majorana neutrino as Bogoliubov quasiparticle |
| title_sort | majorana neutrino as bogoliubov quasiparticle |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317307633 |
| work_keys_str_mv | AT kazuofujikawa majorananeutrinoasbogoliubovquasiparticle AT ancatureanu majorananeutrinoasbogoliubovquasiparticle |