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The Elko quantum field was introduced by Ahluwalia and Grumiller, who proposed it as a candidate for dark matter. We study the Elko field in Weinberg's formalism for quantum field theory. We prove that if one takes the symmetry group to be…

High Energy Physics - Theory · Physics 2012-05-09 Adam Gillard , Benjamin Martin

We establish the theoretical foundation of the Wigner superposition field, a quantum field framework for spin-1/2 fermions that exhibit a Wigner doublet -- a discrete quantum number arising from nontrivial representations of the extended…

High Energy Physics - Theory · Physics 2025-06-16 Cheng-Yang Lee , Ruifeng Leng , Siyi Zhou

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

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

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

Guided by a conservative formulation in investigating the physical content of quantum fields, we explore non-standard Wigner classes of particles that could provide the basis for self-interaction models to dark matter. We critically…

High Energy Physics - Theory · Physics 2023-12-14 F. A. da Silva Barbosa , J. M. Hoff da Silva

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

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

Not all complete set of spinors can be used as expansion coefficients of a quantum field. In fact, Steven Weinberg established the uniqueness of Dirac spinors for this purpose provided: (a) one paid due attention to the multiplicative…

High Energy Physics - Theory · Physics 2024-11-15 Dharam Vir Ahluwalia , G. B. de Gracia , Julio M. Hoff da Silva , Cheng-Yang Lee , B. M. Pimentel

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

We show that quantum gravity, whatever its ultra-violet completion might be, could account for dark matter. Indeed, besides the massless gravitational field recently observed in the form of gravitational waves, the spectrum of quantum…

High Energy Physics - Theory · Physics 2018-08-01 Xavier Calmet , Boris Latosh

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

Conventional quantum field theory is a method for studying structureless elementary particles. Non-elementary particles, on the other hand, are those with internal structure or particles that are made up of elementary constituents like the…

General Physics · Physics 2024-03-14 A. D. Alhaidari

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

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

We propose a quantum model of dark energy. The proposed candidate for dark energy is gluon field, as is well-known, gluons are the elementary particles. We assume that gluons may not be completely massless but have tiny masses, thus the…

General Physics · Physics 2009-11-23 Chang-Yu Zhu , Heng Fan

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

We continue the discussion of several explicit examples of generalizations in relativistic quantum mechanics. We discussed the generalized spin-1/2 equations for neutrinos and the spin-1 equations for photon. The equations obtained by means…

Mathematical Physics · Physics 2018-11-01 Valeriy V. Dvoeglazov

The almost 7 decades lasting futile attempts to understand the possible physical content of the third Wigner representation class (the infinite spin class) came to a partial solution with the 2006 discovery of existence of string-localized…

General Relativity and Quantum Cosmology · Physics 2014-11-12 Bert Schroer

The classification of elementary particles based on unitary irreducible representations of the Poincare group has been a cornerstone of modern Quantum Field Theory (QFT). While the Standard Model (SM) does not inherently include Dark Matter…

High Energy Physics - Phenomenology · Physics 2025-06-16 Cheng-Yang Lee , Ruifeng Leng , Siyi Zhou
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