From Dirac spinor fields to eigenspinoren des ladungskonjugationsoperators
- Centro de Matematica, Computacao e Cognicao, Universidade Federal do ABC, 09210-170, Santo Andre, Sao Paulo, Brazil and Instituto de Fisica 'Gleb Wataghin', Universidade Estadual de Campinas, Unicamp 13083-970 Campinas, Sao Paulo (Brazil)
Dual-helicity eigenspinors of the charge conjugation operator [eigenspinoren des ladungskonjugationsoperators (ELKO) spinor fields] belong--together with Majorana spinor fields--to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class (5), according to Lounesto spinor field classification based on the relations and values taken by their associated bilinear covariants. There exists only six such disjoint classes: the first three corresponding to Dirac spinor fields, and the other three, respectively, corresponding to flagpole, flag-dipole, and Weyl spinor fields. This paper is devoted to investigate and provide the necessary and sufficient conditions to map Dirac spinor fields to ELKO, in order to naturally extend the standard model to spinor fields possessing mass dimension 1. As ELKO is a prime candidate to describe dark matter, an adequate and necessary formalism is introduced and developed here, to better understand the algebraic, geometric, and physical properties of ELKO spinor fields, and their underlying relationship to Dirac spinor fields.
- OSTI ID:
- 21013819
- Journal Information:
- Journal of Mathematical Physics, Vol. 48, Issue 12; Other Information: DOI: 10.1063/1.2825840; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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