https://doi.org/10.1140/epjc/s10052-019-6778-4
Regular Article - Theoretical Physics
The Heisenberg spinor field classification and its interplay with the Lounesto’s classification
1
Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina
2
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata, Argentina
3
Center of Mathematics, Computing and Cognition, Federal University of ABC, Santo André, 09210-580, Brazil
* e-mail: roldao.rocha@ufabc.edu.br
Received:
26
February
2019
Accepted:
11
March
2019
Published online:
21
March
2019
Dirac linear spinor fields were obtained from non-linear Heisenberg spinors, in the literature. Here we extend that idea by considering not only Dirac spinor fields but spinor fields in any of the Lounesto’s classes. When one starts considering all these classes of fields, the question of providing a classification for the Heisenberg spinor naturally arises. In this work the classification of Heisenberg spinor fields is derived and scrutinized, in its interplay with the Lounesto’s spinor field classification.
© The Author(s), 2019
