Events2nd Electronic Conference on Universe
Published
This submission belongs to the session S2. Field Theory of the event 2nd Electronic Conference on Universe
Published date
15 Feb, 2023
Academic Editor
author-avatarGerald Cleaver
Citation
Vadim Monakhov, Majorana mass term and CAR algebra of creation and annihilation operators of Dirac and Majorana spinors, in Proceedings of 2nd Electronic Conference on Universe, 16 February–2 March 2023, MDPI: Basel, Switzerland, doi: 10.3390/ECU2023-14016
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Majorana mass term and CAR algebra of creation and annihilation operators of Dirac and Majorana spinors

1. Saint Petersburg State University, Russia
Abstract

We have proved that, under the standard charge conjugation approach, the Majorana mass term must vanish not only in the so called c-theory, which was known, but also in the q-theory (the theory of second quantization). In this case, the possible influence of the phase factor during charge conjugation is taken into account. It turned out that it does not affect the result.
We have derived formulas for Majorana spinor field operators without any assumptions about second quantization procedure. We have proved that the Hamiltonian of the Majorana spinor at zero momentum is zero.
The fact that the Majorana mass term and the Hamiltonian of the Majorana spinor vanish at zero momentum requires a revision of ideas about the generation of neutrino mass using the seesaw and other mechanisms.

Keywords
Clifford algebra
CAR algebra
Lie groups
spinors
Majorana spinors
Majorana fermion
gauge transformations
second quantization
Manuscript
Poster
Monakhov_ECU-2023_presentation.pdf
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