Eur. Phys. J. C (2015) 75: 266
https://doi.org/10.1140/epjc/s10052-015-3498-2

Regular Article - Theoretical Physics

Questing mass dimension 1 spinor fields

¹ UNESP Universidade Estadual Paulista, Campus de Guaratinguetá-DFQ, Av. Dr. Ariberto Pereira da Cunha, 333, Guaratinguetá, SP CEP, 12516-410, Brazil
² CMCC, Universidade Federal do ABC, Santo André, SP, 09210-580, Brazil

^* e-mail: roldao.rocha@ufabc.edu.br

Received: 29 April 2015
Accepted: 30 May 2015
Published online: 18 June 2015

Abstract

This work deals with new classes of spinors of mass dimension 1 in Minkowski spacetime. In order to accomplish it, Lounesto’s classification scheme and the inversion theorem are going to be used. The algebraic framework shall be revisited by explicating the central point performed by the Fierz aggregate. Then the spinor classification is generalized in order to encompass the new mass dimension 1 spinors. The spinor operator is shown to play a prominent role to engender the new mass dimension 1 spinors, accordingly.