A framework to a mass dimension one fermionic sigma model

Abstract

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. 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.

arXiv comment6 pages, to appear in EPL

References in corpus (11)

• Very Special Relativity
• Spin half fermions with mass dimension one: theory, phenomenology, and dark matter
• Elko as self-interacting fermionic dark matter with axis of locality
• Self-interacting Elko dark matter with an axis of locality
• Dark spinor models in gravitation and cosmology
• Very special relativity as relativity of dark matter: the Elko connection
• Exploring Elko typical signature
• An Identification of the Dirac Operator with the Parity Operator
• Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
• Questing for Algebraic Mass Dimension One Spinor Fields
• ELKO fermions as dark matter candidates

Cited by in corpus (7)

• On the bilinear covariants associated to mass dimension one spinors
• Localization of five-dimensional Elko spinors with non-minimal coupling on thick branes
• Effective lagrangian for a mass dimension one fermionic field in curved spacetime
• Partition function for a mass dimension one fermionic field and the dark matter halo of galaxies
• The connection between Dirac dynamic and parity symmetry
• An unified cosmological evolution driven by a mass dimension one fermionic field
• Localization of five-dimensional Elko Spinors on dS/AdS Thick Branes