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These are notes on the square root of $4\times4$ identity matrix and associated quantum fields of spin one half. The method is illustrated by constructing a new mass dimension one fermionic field. The presented field is local. The field…

General Physics · Physics 2020-08-24 Dharam Vir Ahluwalia

The quantum field operator for spin-half Elko describes a massive self-interacting fermionic dark matter candidate of mass dimension one. It has been shown that the theory has a built-in violation of the Lorentz symmetry and a well-defined…

High Energy Physics - Theory · Physics 2015-02-19 Cheng-Yang Lee

We here provide further details on the construction and properties of mass dimension one quantum fields based on Elko expansion coefficients. We show that by a judicious choice of phases, the locality structure can be dramatically improved.…

High Energy Physics - Theory · Physics 2010-04-12 D. V. Ahluwalia , Cheng-Yang Lee , D. Schritt

The RIM spinors (Restricted Inomata McKinley spinors) constitutes a very particular class of solutions of the non-linear Heisenberg equation. As a matter of fact, a free linear massive or even mass-less Dirac field can be decomposed into a…

High Energy Physics - Theory · Physics 2018-06-11 C. H. Coronado Villalobos , R. J. Bueno Rogerio , D. Beghetto

According to Ahluwalia and Grumiller, massive spin-half fields of mass-dimension one can be constructed using the eigenspinors of the charge-conjugation operator (Elko) as expansion coefficients. In this paper, we generalize their result by…

High Energy Physics - Theory · Physics 2015-04-10 Cheng-Yang Lee

We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential accommodations for further mass dimension one…

High Energy Physics - Theory · Physics 2014-10-17 R. T. Cavalcanti

In this paper, we advance in investigating a specific set of eigenvectors of a linearly-independent square root of the identity matrix to obtain a new class of spin-half mass-dimension one fermions. Such eigenvectors, after an appropriated…

General Physics · Physics 2022-06-02 Rodolfo José Bueno Rogerio , Luca Fabbri

Whatever dark matter is, it must be one irreducible unitary representation of the extended Lorentz group or another. We here develop a formalism of mass dimension one fermions and bosons of spin one half, and show that they provide natural…

General Physics · Physics 2023-01-30 Dharam Vir Ahluwalia , Julio M. Hoff da Silva , Cheng-Yang Lee

This work deals with new classes of spinors of mass dimension one in Minkowski spacetime. In order to accomplish it, the Lounesto classification scheme and the inversion theorem are going to be used. The algebraic framework shall be…

High Energy Physics - Theory · Physics 2015-06-19 C. H. Coronado Villalobos , J. M. Hoff da Silva , Roldao da Rocha

This thesis studies the symmetries and phenomenologies of the massive vector fields of indefinite spin with both scalar and spin-one degrees of freedom and Elko. The investigation is conducted by using and extending the quantum field theory…

High Energy Physics - Theory · Physics 2013-06-26 Cheng-Yang Lee

Not long ago, the definition of eigenspinors of charge-conjugation belonging to a special Wigner class has lead to the unexpected theoretical discovery of a form of matter with spin 1/2 and mass dimension 1, called ELKO matter field; ELKO…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Luca Fabbri

We study the conditions under which a non-standard Wigner class concerning discrete symmetries may arise for massive spin one-half states. The mass dimension one fermionic states are shown \textcolor{red}{to} constitute explicit examples.…

High Energy Physics - Theory · Physics 2019-11-22 J. M. Hoff da Silva , R. J. Bueno Rogerio

Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong, together with Majorana spinor fields, to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class (5),…

Mathematical Physics · Physics 2008-11-26 Roldao da Rocha , Julio M. Hoff da Silva

Following the unexpected theoretical discovery of a mass dimension one fermionic quantum field of spin one half, we now present first results on two _local_ versions. The Dirac and Majorana fields of the standard model of particle physics…

High Energy Physics - Phenomenology · Physics 2017-08-23 D. V. Ahluwalia , Cheng-Yang Lee , D. Schritt , T. F. Watson

This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is…

General Relativity and Quantum Cosmology · Physics 2023-06-21 F. M. Belchior , A. R. P. Moreira , R. V. Maluf , C. A. S. Almeida

An unified cosmological model for an Universe filled with a mass dimension one (MDO) fermionic field plus the standard matter fields is considered. After a primordial quantum fluctuation the field slowly rolls down to the bottom of a…

General Relativity and Quantum Cosmology · Physics 2019-07-02 S. H. Pereira , M. E. S. Alves , T. M. Guimarães

In this letter, we investigate a quite recent new class of spin one-half fermions, namely \emph{Ahluwalia class-7 spinors}, endowed with mass dimensionality $1$ rather than $3/2$, being candidates to describe dark matter. Such spinors,…

General Physics · Physics 2020-12-22 R. J. Bueno Rogerio

When coupling fermions to gravity, torsion is naturally induced. We consider the possibility that fermion bilinears can act as a source for torsion, altering the dynamics of the early universe such that the big bang gets replaced with a…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Shane Farnsworth , Jean-Luc Lehners , Taotao Qiu

This article will provide the reader with a short introduction to dark spinors, which are ELKO spinors, eingenspinors of the charge conjugation operator, applied to dark matter and dark energy.

General Relativity and Quantum Cosmology · Physics 2010-02-06 Christian. G. Boehmer , James Burnett

In this paper, we provide a set of Hermitian interactions for quantum fields based on Elko, considering the recent achievements concerning the most general form of singular spinors and Wigner degeneracy. We consider Hermiticity and…

High Energy Physics - Phenomenology · Physics 2024-12-23 G. B. de Gracia , Roldão da Rocha , R. J. Bueno Rogerio , Cheng-Yang Lee