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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

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

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

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

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 2005, Dharam Ahluwalia and Daniel Grumiller reported an unexpected theoretical discovery of mass dimension one fermions. These are an entirely new class of spin one half particles, and because of their mass dimensionality mismatch with…

High Energy Physics - Theory · Physics 2021-03-15 Dharam Ahluwalia

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

We report an unexpected theoretical discovery of a spin one half matter field with mass dimension one. It is based on a complete set of eigenspinors of the charge conjugation operator. Due to its unusual properties with respect to charge…

High Energy Physics - Theory · Physics 2008-11-26 D. V. Ahluwalia-Khalilova , D. Grumiller

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

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

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

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

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

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

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

We investigate in detail the interaction between the spin-${1/2}$ fields endowed with mass dimension one and the graviton. We obtain an interaction vertex that combines the characteristics of scalar-graviton and Dirac's fermion-graviton…

High Energy Physics - Phenomenology · Physics 2019-12-17 R. J. Bueno Rogerio , R. de C. Lima , L. Duarte , J. M. Hoff da Silva , M. Dias , C. R. Senise

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

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

This work study the finite temperature effects of a mass dimension one fermionic field, sometimes called Elko field. The equilibrium partition function was calculated by means of the imaginary time formalism and the result obtained was the…

General Physics · Physics 2019-05-08 S. H. Pereira , Richard S. Costa

In this work we use momentum-space techniques to evaluate the propagator $G(x,x^{\prime})$ for a spin $1/2$ mass dimension one spinor field on a curved Friedmann-Robertson-Walker spacetime. As a consequence, we built the one-loop correction…

High Energy Physics - Theory · Physics 2018-02-27 R. J. Bueno Rogerio , J. M. Hoff da Silva , M. Dias , S. H. Pereira
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