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Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong, together with Majorana spinor fields, to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class (5),…

数学物理 · 物理学 2008-11-26 Roldao da Rocha , Julio M. Hoff da Silva

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…

高能物理 - 理论 · 物理学 2020-10-28 Cheng-Yang Lee

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…

高能物理 - 理论 · 物理学 2021-03-15 Dharam 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…

高能物理 - 理论 · 物理学 2008-11-26 D. V. Ahluwalia-Khalilova , D. Grumiller

We recall the Lounesto classification of 1/2-spin spinor fields, based on the vanishing of spinorial bilinear quantities: the classes are the regular spinor fields (i.e. the Dirac field), as well as singular spinor fields, also known as…

数学物理 · 物理学 2026-01-26 Luca Fabbri

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…

高能物理 - 理论 · 物理学 2011-06-16 D. V. Ahluwalia-Khalilova , D. Grumiller

In this paper, we define a new spinor classification that encompasses the recently proposed spin-half bosons with mass dimension three-half. As it will be shown, these particles, which are governed by a first-order equation and consequently…

高能物理 - 理论 · 物理学 2021-05-18 R. J. Bueno Rogerio , A. R. Aguirre

The Lounesto classification splits spinors in six classes: I, II, III are those for which at least one among scalar and pseudo-scalar bi-linear spinor quantities is non-zero, its spinors are called regular, and among them we find the usual…

广义相对论与量子宇宙学 · 物理学 2020-02-04 Roberto Cianci , Luca Fabbri , Stefano Vignolo

We investigate the constraint equations of the Lounesto spinor fields classification and show that it can be used to completely characterize all the singular classes, which are potential accommodations for further mass dimension one…

高能物理 - 理论 · 物理学 2014-10-17 R. T. Cavalcanti

In a previous paper we explicitly constructed a mapping that leads Dirac spinor fields to the dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields). ELKO spinor fields are prime candidates for describing dark…

数学物理 · 物理学 2011-02-08 Roldao da Rocha , J. M. Hoff da Silva

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…

综合物理 · 物理学 2020-08-24 Dharam Vir Ahluwalia

This work deals with new classes of spinors of mass dimension one in Minkowski spacetime. In order to accomplish it, the Lounesto classification scheme and the inversion theorem are going to be used. The algebraic framework shall be…

高能物理 - 理论 · 物理学 2015-06-19 C. H. Coronado Villalobos , J. M. Hoff da Silva , Roldao da Rocha

From a geometric point of view, massless spinors in $3+1$ dimensions are composed of primary fields of weights $(\frac{1}{2},0)$ and $(0,\frac{1}{2})$, where the weights are defined with respect to diffeomorphisms of a sphere in momentum…

高能物理 - 理论 · 物理学 2015-06-26 Rainer Dick

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…

高能物理 - 理论 · 物理学 2016-04-06 R. J. Bueno Rogerio , J. M. Hoff da Silva , S. H. Pereira , Roldao da Rocha

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…

高能物理 - 理论 · 物理学 2024-07-19 Cheng-Yang Lee , Haomin Rao , Wenqi Yu , Siyi Zhou

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…

高能物理 - 理论 · 物理学 2017-09-11 Dharam Vir 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…

高能物理 - 理论 · 物理学 2021-03-12 Dharam Vir Ahluwalia

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…

综合物理 · 物理学 2023-01-30 Dharam Vir Ahluwalia , Julio M. Hoff da Silva , Cheng-Yang Lee

Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong -- together with Majorana spinor fields -- to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class-(5),…

数学物理 · 物理学 2009-06-03 Roldao da Rocha , J. M. Hoff da Silva

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…

综合物理 · 物理学 2022-06-02 Rodolfo José Bueno Rogerio , Luca Fabbri
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