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Physical fields and Clifford algebras II. Neutrino field

1997/12/23 by В. В. Варламов, Vadim V. Varlamov, Varlamov, Vadim V.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9712217

12 pages, LaTeX, misprints and minor mistakes corrected

openalex publication_date 1997/12/23 · arxiv created 1998/02/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The neutrino field is considered in the framework of a complex Clifford algebra \C3≅\C2⊕\stackrel∗\C2. The factor-algebras ε\C2 and ε\stackrel∗\C2, which are obtained by means of homomorphic mappings \C3→\C2 and \C3→\stackrel∗\C2, are identified with the neutrino and antineutrino fields, respectively. In this framework we have natural explanation for absence of right-handed neutrino and left-handed antineutrino.

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