| Issue |
EPL
Volume 119, Number 4, August 2017
|
|
|---|---|---|
| Article Number | 40006 | |
| Number of page(s) | 5 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/119/40006 | |
| Published online | 07 November 2017 | |
The (restricted) Inomata-McKinley spinor representation and the underlying topology
Universidade Estadual Paulista - UNESP, Departamento de Física e Química - Guaratinguetá, SP, Brazil
(a) dbeghetto@feg.unesp.br
(b) hoff@feg.unesp.br
Received: 21 August 2017
Accepted: 10 October 2017
The so-called Inomata-McKinley spinors are a particular solution of the non-linear Heisenberg equation. In fact, free linear massive (or massless) Dirac fields are well known to be represented as a combination of Inomata-McKinley spinors. More recently, a subclass of Inomata-McKinley spinors was used to describe neutrino physics. In this paper we show that Dirac spinors undergoing this restricted Inomata-McKinley decomposition are necessarily of the first type, according to the Lounesto classification. Moreover, we also show that these type-one subclass spinors have not an exotic counterpart. Finally, implications of these results are discussed, regarding the understanding of the spacetime background topology.
PACS: 03.65.Fd – Algebraic methods / 02.40.Pc – General topology / 03.65.Pm – Relativistic wave equations
© EPLA, 2017
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