Majorana neutrino as Bogoliubov quasiparticle

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Fujikawa , K & Tureanu , A 2017 , ' Majorana neutrino as Bogoliubov quasiparticle ' , Physics Letters B , vol. 774 , pp. 273-278 .

Title: Majorana neutrino as Bogoliubov quasiparticle
Author: Fujikawa, Kazuo; Tureanu, Anca
Contributor: University of Helsinki, Department of Physics
University of Helsinki, Department of Physics
Date: 2017-11-10
Language: eng
Number of pages: 6
Belongs to series: Physics Letters B
ISSN: 0370-2693
Abstract: 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 C psi C dagger = psi 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 psi -> exp[i alpha gamma(5)]psi 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. (c) 2017 The Authors. Published by Elsevier B.V.
114 Physical sciences

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