Non-standard Dirac equations for non-standard spinors
arXiv:1403.0880 · doi:10.1142/S0218271814440076
Abstract
Generalized Dirac equation with operator mass term is presented. Its solutions are non standard (ELKO) spinors which are eigenvectors of the charge conjugation and dual helicity operators. It is demonstrated that in spite of their non covariant nature ELKO can serve as a carrier space of a representation of Poincaré group. However, the corresponding boost generators are not manifestly covariant and generate non-local momentum dependent transformations which are presented explicitly. These results present a new look on group-theoretical grounds of ELKO theories.
This is an extended version of previous submission including explicit Lorentz transformation for ELKO
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