Special Issue ArticlesNo Access

Nonstandard Dirac equations for nonstandard spinors

A. G. Nikitin

Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka Street, Kyiv, 01601, Ukraine

https://doi.org/10.1142/S0218271814440076Cited by:4 (Source: Crossref)

Abstract

Generalized Dirac equation with operator mass term is presented. Its solutions are nonstandard spinors (NSS) which, like eigenspinoren des Ladungskonjugationsoperators (ELKO), are eigenvectors of the charge conjugation and dual-helicity operators. It is demonstrated that in spite of their noncovariant nature the NSS can serve as a carrier space of a representation of Poincaré group. However, the corresponding boost generators are not manifestly covariant and generate nonlocal momentum dependent transformations, which are presented explicitly. These results can present a new look on group-theoretical grounds of ELKO theories.

Keywords:

PACS: 03.65.Pm, 03.65.Fd, 04.20.Cv

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