The Heisenberg spinor field classification and its interplay with the Lounesto’s classification

Arcodía, Marcos R. A. (Aff1, Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina) ; Bellini, Mauricio (Aff1, Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Mar del Plata, Argentina) (Aff2, 0000 0000 9969 0902, Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata, Funes 3350, C.P. 7600, Mar del Plata, Argentina) ; da Rocha, Roldão (Aff3, 0000 0004 0643 8839, Center of Mathematics, Computing and Cognition, Federal University of ABC, 09210-580, Santo André, Brazil)

23 March 2019

Abstract: 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.


Published in: EPJC 79 (2019) 260
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-019-6778-4
License: CC-BY-3.0



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