Majorana neutrino as Bogoliubov quasiparticle

DOI10.1016/J.PHYSLETB.2017.09.051zbMATH Open1403.81074arXiv1708.01438OpenAlexW2743615706MaRDI QIDQ1631871

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Publication date: 7 December 2018

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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 $calCpsi{calC}^{dagger}=psi$ 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 $psiightarrowexp[ialphagamm{a}_5]psi$ 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.

Full work available at URL: https://arxiv.org/abs/1708.01438

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