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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

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

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

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

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

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

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

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

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

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 extend the analysis of the Hamiltonian formalism of the d-dimensional tetrad-connection gravity to the fermionic field by fixing the non-dynamic part of the spatial connection to zero. Although the reduced phase space is equipped with…

General Relativity and Quantum Cosmology · Physics 2018-06-15 M. H. Lagraa , M. Lagraa

Throughout this paper, we conduct our discussion by a partial review of Elko's Hermiticity, introducing the Hermitian formulation for interacting mass dimension one fermions based on Elko spinor. It includes pivotal observations about…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Gabriel Brandão de Gracia , Rodolfo José Bueno Rogerio

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 class of dynamical dark energy models is constructed through an extended version of fermion fields corresponding to phantom dark ghost spinors, which are spin one half with mass dimension one. We find that if these spinors interact with…

General Relativity and Quantum Cosmology · Physics 2017-05-09 Yu-Chiao Chang , Mariam Bouhmadi-López , Pisin Chen

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

We present a framework for discussing the cosmology of dark energy and dark matter based on two scalar degrees of freedom. An effective field theory of cosmological perturbations is employed. A unitary gauge choice renders the dark energy…

High Energy Physics - Theory · Physics 2014-04-01 László Á. Gergely , Shinji Tsujikawa

The canonical structure of the action for a massless superparticle is considered in d = 2 + 1 and d = 3 + 1 dimensions. This is done by examining the contribution to the action of each of the components of the spinor {\theta} present; no…

High Energy Physics - Theory · Physics 2012-10-05 D. G. C. McKeon

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 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

We present a minimal model of fermionic dark matter (DM), where a singlet Dirac fermion can interact with the Standard Model (SM) particles via the torsion field of gravitational origin. In general, torsion can be realized as an…

High Energy Physics - Phenomenology · Physics 2020-04-15 Basabendu Barman , Tapobroto Bhanja , Debottam Das , Debaprasad Maity
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