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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…

High Energy Physics - Theory · Physics 2016-04-06 R. J. Bueno Rogerio , J. M. Hoff da Silva , S. H. Pereira , Roldao da Rocha

In this paper, we provide the first systematic investigation of renormalization group properties of mass dimension one fermions described by ELKO spinors. By construction, ELKOs must be neutral under any Standard Model charge, therefore,…

High Energy Physics - Theory · Physics 2026-02-11 Gustavo P. de Brito

This editorial presents the quantum field theoretic ambiance in which Elko and mass dimension one fermions come to exist. This may serve not only to introduce Elko, and the associated quantum field, but it may also open a door to a new…

High Energy Physics - Theory · Physics 2021-03-12 Dharam Vir Ahluwalia

Mass dimension one quantum fields, constructed upon eigenspinors of the charge conjugation operator with dual helicity (ELKO), are prime candidates to describe dark matter. Their interaction with the photon and the proton, in scattering…

High Energy Physics - Theory · Physics 2022-06-27 G. B. de Gracia , R. da Rocha

In the present essay we review the underlying physical information behind the first concrete example describing a mass dimension one fermion - namely Elko spinors. We start the program exploring the physical information by evaluating the…

High Energy Physics - Theory · Physics 2019-11-22 R. J. Bueno Rogerio , C. H. Coronado Villalobos , D. Beghetto , A. R. Aguirre

Cosmelkology is the study of Elko in cosmology. Elko is a massive spin-half field of mass dimension one. Elko differs from the Dirac and Majorana fermions because it furnishes the irreducible representation of the extended Poincare group…

High Energy Physics - Theory · Physics 2024-07-19 Cheng-Yang Lee , Haomin Rao , Wenqi Yu , Siyi Zhou

The fermionic fields constructed from Elko have several unexpected properties. They satisfy the Klein-Gordon but not the Dirac equation and are of mass dimension one instead of three-half. Starting with the Klein-Gordon Lagrangian, we…

High Energy Physics - Theory · Physics 2017-01-04 Cheng-Yang Lee

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

The mass dimension one (MDO) fermionic field is built on a complete set of dual-helicity eigenspinors of the charge conjugation operator, which obeys the statistic of Fermi-Dirac. These spinors are a potential candidate for the description…

General Relativity and Quantum Cosmology · Physics 2022-09-21 R. de C. Lima , T. M. Guimarães , S. H. Pereira

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 aim of this work is to explore the possibility to discover a fermionic field with mass dimension one, the Elko field, in the Large Hadron Collider (LHC). Due to its mass dimension, an Elko can only interact either with Standard Model…

High Energy Physics - Phenomenology · Physics 2015-06-18 Alexandre Alves , Fernando de Campos , Marco Dias , Julio M. Hoff da Silva

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

About a decade ago the present author in collaboration with Daniel Grumiller presented an `unexpected theoretical discovery' of spin one-half fermions with mass dimension one [JCAP 2005, PRD 2005]. In the decade that followed a significant…

High Energy Physics - Theory · Physics 2017-09-11 Dharam Vir Ahluwalia

The mass dimension one fermionic field associated with Elko satisfies the Klein-Gordon but not the Dirac equation. However, its propagator is not a Green's function of the Klein-Gordon operator. We determine the operator in which the…

High Energy Physics - Theory · Physics 2014-12-02 Cheng-Yang Lee

A fundamental action, representing a mass dimension-transmuting operator between Dirac and ELKO spinor fields, is performed on the Dirac Lagrangian, in order to lead it into the ELKO Lagrangian. Such a dynamical transformation can be seen…

Mathematical Physics · Physics 2009-07-22 J. M. Hoff da Silva , Roldao da Rocha

We provide the first details on the unexpected theoretical discovery of a spin-one-half matter field with mass dimension one. It is based upon a complete set of dual-helicity eigenspinors of the charge conjugation operator. Due to its…

High Energy Physics - Theory · Physics 2011-06-16 D. V. Ahluwalia-Khalilova , D. Grumiller

A self-contained review on spin-half mass dimension one fermions and their higher-spin generalizations is presented. Starting from the two-component left-handed Weyl spinors, the Dirac spinors and Elko (eigenspinors of the charge…

High Energy Physics - Theory · Physics 2020-10-28 Cheng-Yang Lee

We review how Elko arise as an extension of complex valued four-component Majorana spinors. This is followed by a discussion that constrains certain elements of phase freedom. A proof is reviewed that unambiguously establishes that Elko,…

High Energy Physics - Theory · Physics 2015-03-06 Dharam Vir Ahluwalia , Alekha Chandra Nayak

Requiring physical consistency in a classical flat spacetime geometrisation of fermions is shown to suggest the introduction of torsion. A resulting simple model for that torsion produces a localised quantum-like particle as a solution of a…

High Energy Physics - Theory · Physics 2024-04-05 William J. Leigh

We analyse the trapping of eigenspinors of the charge conjugation operator with dual helicity (Elko), in thin and thick string-like models with codimension-2. Elko spinor fields describe mass dimension one fermions in four dimensions (and,…

High Energy Physics - Theory · Physics 2017-05-17 D. M. Dantas , Roldao da Rocha , C. A. S. Almeida
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