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

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 p...

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Bibliographic Details
Main Authors: Marcos R. A. Arcodía, Mauricio Bellini, Roldão da Rocha
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6778-4
Description
Summary: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.
ISSN:1434-6044
1434-6052