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Related papers: Mass Dimension One Fermions

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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

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

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

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

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

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

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

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

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

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

Let $\Theta$ be the Wigner time reversal operator for spin half and let $\phi$ be a Weyl spinor. Then, for a left-transforming $\phi$, the construct $\zeta_\lambda \Theta \phi^\ast$ yields a right-transforming spinor. If instead, $\phi$ is…

High Energy Physics - Phenomenology · Physics 2022-05-12 Dharam Vir Ahluwalia , Julio M. Hoff da Silva , Cheng-Yang Lee , Yu-Xiao Liu , Saulo H. Pereira , Masoumeh Moazzen Sorkhi

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

Since the 1928 seminal work of Dirac, and its subsequent development by Weinberg, a view is held that there is a unique Fermi field of spin one-half. It is endowed with mass dimension three-half. Combined, these characteristics profoundly…

High Energy Physics - Theory · Physics 2016-05-10 Dharam Vir Ahluwalia

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

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

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

Recent breakthroughs in cosmology reveal that a quarter of the Universe is composed of dark matter, but the microscopic identity of dark matter remains a deep mystery. I review recent progress in resolving this puzzle, focusing on two…

Astrophysics · Physics 2009-11-13 Jonathan L. Feng

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 this paper we proceed into the next step of formalization of a consistent dual theory for mass dimension one spinors. This task is developed approaching the two different and complementary aspects of such duals, clarifying its algebraic…

General Physics · Physics 2019-04-09 J. M. Hoff da Silvaa , R. T. Cavalcanti
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