A framework to a mass-dimension-one fermionic sigma model
1 Departamento de Fisica e Quimica, Universidade Estadual Paulista - Av. Dr. Ariberto Pereira da Cunha, 333, Guaratinguetá, SP, Brazil
2 Centro de Matemática, Computação e Cognição, Universidade Federal do ABC - 09210-580, Santo André, Brazil
Received: 14 January 2016
Accepted: 24 March 2016
In this paper a mass-dimension-one fermionic sigma model, realized by the eigenspinors of the charge conjugation operator with dual helicity (Elko spinors), is developed. Such spinors are chosen as a specific realization of mass-dimension-one spinors, wherein the non-commutative fermionic feature is ruled by torsion. Moreover, we analyse Elko spinors as a source of matter in a background in expansion and we have found that such kind of mass-dimension-one fermions can serve not only as dark matter but they also induce an effective cosmological constant.
PACS: 03.65.Fd – Algebraic methods / 11.10.-z – Field theory / 03.50.Kk – Other special classical field theories
© EPLA, 2016