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Related papers: Type-4 spinors: transmuting from Elko to single-he…

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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…

High Energy Physics - Theory · Physics 2014-10-17 R. T. Cavalcanti

In this report we advance into a mapping procedure transmuting a single helicity spinor to a dual helicity spinor. Such a mathematical mechanism reveal us a class of spinor which fits into fourth class within Lounesto classification. The…

High Energy Physics - Theory · Physics 2019-09-09 R. J. Bueno Rogerio , C. H. Coronado Villalobos

This paper proves that from the algebraic point of view 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, according to…

Mathematical Physics · Physics 2008-11-26 Roldao da Rocha , Waldyr Alves Rodrigues

The so-called Lounesto's classification engenders six distinct classes of spinors, divided into two sectors: one composed by regular spinors (single-helicity spinors) and the other composed by singular spinors (comprising dual-helicity…

General Physics · Physics 2019-11-19 R. J. Bueno Rogerio

In the present communication we employ a split programme applied to spinors belonging to the regular and singular sectors of the Lounesto's classification, looking towards to unveil how it can be built or defined upon two spinors…

Mathematical Physics · Physics 2020-04-03 R. J. Bueno Rogerio

In this paper, we consider the most general treatment of spinor fields, their kinematic classification and the ensuing dynamic polar reduction, for both classes of regular and singular spinors; specifying onto the singular class, we discuss…

General Physics · Physics 2018-12-06 Luca Fabbri

The Lounesto classification is a well-established scheme for categorizing spinors based on their physical content, which are determined by their associated bilinear forms. It consists of six disjoint classes encompassing the known spinors…

Mathematical Physics · Physics 2025-02-28 R. J. Bueno Rogerio , R. T. Cavalcanti , C. H. Coronado Villalobos , J. M. Hoff da Silva

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),…

Mathematical Physics · Physics 2008-11-26 Roldao da Rocha , Julio M. Hoff da Silva

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

We relate the Lounesto classification of regular and singular spinors to the orbits of the $Spin(3,1)$ group in the space of Dirac spinors. We find that regular spinors are associated with the principal orbits of the spin group while…

High Energy Physics - Theory · Physics 2024-07-02 G. Papadopoulos

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…

Mathematical Physics · Physics 2011-02-08 Roldao da Rocha , J. M. Hoff da Silva

This paper aims to give a coordinate based introduction to the so-called Lounesto spinorial classification scheme. We introduce the main ideas and aspects of this spinorial categorization in an argumentative basis, after what we delve into…

General Physics · Physics 2017-11-01 J. M. Hoff da Silva , R. T. Cavalcanti

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…

High Energy Physics - Theory · Physics 2015-06-19 C. H. Coronado Villalobos , J. M. Hoff da Silva , Roldao da Rocha

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

We analyse the trapping of eigenspinors of the charge conjugation operator with dual helicity (Elko), in thin and thick string-like models with codimension-2. Elko spinor fields describe mass dimension one fermions in four dimensions (and,…

High Energy Physics - Theory · Physics 2017-05-17 D. M. Dantas , Roldao da Rocha , C. A. S. Almeida

This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is…

General Relativity and Quantum Cosmology · Physics 2023-06-21 F. M. Belchior , A. R. P. Moreira , R. V. Maluf , C. A. S. Almeida

In this theoretical communication we look towards understand the underlying phenomenology concerning the Elko spinors within VSR theory. The program to be accomplished here start when we define the eigenspinors of the charge conjugation…

High Energy Physics - Theory · Physics 2019-07-22 L. C. Duarte , R. de C. Lima , R. J. Bueno Rogerio , C. H. Coronado Villalobos

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

After reviewing the Lounesto spinor field classification, according to the bilinear covariants associated to a spinor field, we call attention and unravel some prominent features involving unexpected properties about spinor fields under…

High Energy Physics - Theory · Physics 2015-06-12 J. M. Hoff da Silva , Roldão da Rocha

In this paper we discuss fundamental aspects related to the helicity and dynamics of the spin-$1/2$ fermions encompassed within the very well-known Lounesto's classification. More specifically, we investigate how the bi-spinorial structures…

Mathematical Physics · Physics 2021-06-23 C. H. Coronado Villalobos , R. J. Bueno Rogerio , A. R. Aguirre
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