https://doi.org/10.1140/epjc/s10052-019-7518-5
Regular Article - Theoretical Physics
A hint towards mass dimension one Flag-dipole spinors
1
Instituto de Física e Química, Universidade Federal de Itajubá-IFQ/UNIFEI, Av. BPS 1303, Itajubá, MG, CEP 37500-903, Brazil
2
Instituto Nacional de Pesquisas Espaciais (INPE), São José dos Campos, SP, CEP 12227-010, Brazil
* e-mail: rodolforogerio@unifei.edu.br
Received:
5
November
2019
Accepted:
27
November
2019
Published online:
7
December
2019
In this report we advance in exploring further details concerning the formal aspects of the construction of a Flag-dipole spinor. We report a (re-)definition of the dual structure which provide a Lorentz invariant and non-null norm, ensuring a local theory. With the new dual structure at hands, we look towards define relevant physical amounts, e.g., spin sums and quantum field operator. As we will see, the Flag-dipole and the Elko’s theory are quite familiar. In this vein, it is possible, via a matrix transformation, to write Flag-dipole spinors in terms of Elko spinor, evincing that both spinors are physically related and some physical amounts may be stated as equivalent.
© The Author(s), 2019
