A framework to a mass dimension one fermionic sigma model

TL;DR

This paper develops a fermionic sigma model using Elko spinors, revealing their potential as dark matter candidates and their influence on cosmological expansion through torsion effects.

Contribution

It introduces a novel mass dimension one fermionic sigma model based on Elko spinors, linking torsion to their non-commutative features and cosmological implications.

Findings

Elko spinors can serve as dark matter candidates.

They induce an effective cosmological constant.

The model incorporates torsion effects in fermionic fields.

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.