Eur. Phys. J. Special Topics 229, 2117–2131 (2020)
https://doi.org/10.1140/epjst/e2020-900222-3

Regular Article

ELKO in polar form

DIME Sez. Metodi e Modelli Matematici, Università di Genova, via all’Opera Pia 15, 16145 Genova, Italy

^a e-mail: fabbri@dime.unige.it

Received: 9 October 2019
Accepted: 22 July 2020
Published online: 21 September 2020

Abstract

In this paper, we consider the theory of ELKO written in their polar form, in which the spinorial components are converted into products of a real module times a complex unitary phase while the covariance under spin transformations is still maintained: we derive an intriguing conclusion about the structure of ELKO in their polar decomposition when seen from the perspective of a new type of adjunction procedure defined for ELKO themselves. General comments will be given in the end.