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Related papers: Where are ELKO Spinor Fields in Lounesto Spinor Fi…

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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

In this paper we advance into a generalized spinor classification, based on the so-called Lounesto's classification. The program developed here is based on an existing freedom on the spinorial dual structures definition, which, in a certain…

High Energy Physics - Theory · Physics 2020-03-12 C. H. Coronado Villalobos , R. J. Bueno Rogerio , A. R. Aguirre , D. Beghetto

We show that the statement in Yu-Xiao Liu, Xiang-Nan Zhou, Ke Yang and Feng-Wei Chen [Phys. Rev. D 86 , 064012 (2012)] that the zero mode of ELKO spinor is localized in some thin brane scenarios is not correct. This reopens the problem of…

High Energy Physics - Theory · Physics 2015-02-20 I. C. Jardim , G. Alencar , R. R. Landim , R. N. Costa Filho

Different from the Dirac spinor, the localization of a five-dimensional Elko spinor on a brane with codimension one is very difficult because of the special structure of the Elko spinor. By introducing the coupling between the Elko spinor…

High Energy Physics - Theory · Physics 2022-11-09 Xiang-Nan Zhou , Xin-Yuan Ma , Zhen-Hua Zhao , Yun-Zhi Du

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 define a two-dimensional space called the spinor-plane, where all spinors that can be decomposed in terms of Restricted Inomata-McKinley (RIM) spinors reside, and describe some of its properties. Some interesting results concerning the…

Mathematical Physics · Physics 2019-04-09 D. Beghetto , R. J. Bueno Rogerio , C. H. Coronado Villalobos

Under a rotation by an angle $\vartheta$, both the right- and left- handed Weyl spinors pick up a phase factor ${\exp(\pm\, i \vartheta/2)}$. The upper sign holds for the positive helicity spinors, while the lower sign for the negative…

High Energy Physics - Theory · Physics 2019-03-13 Dharam Vir Ahluwalia , Sweta Sarmah

A consistent variational derivation of the Majorana 4-spinor field equations coupled to Einstein's theory of gravitation is given. The equivalence of the first and the second order variational field equations is explicitly demonstrated. The…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Tekin Dereli , Yorgo Senikoglu

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

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

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…

High Energy Physics - Theory · Physics 2021-05-18 R. J. Bueno Rogerio , A. R. Aguirre

In this paper we approach the issue of Clifford algebra basis deformation, allowing for bilinear covariants associated to Elko spinors which satisfy the Fierz-Pauli-Kofink identities. We present a complete analysis of covariance, taking…

High Energy Physics - Theory · Physics 2016-11-11 J. M. Hoff da Silva , C. H. Coronado Villalobos , R. J. Bueno Rogerio , E. Scatena

We explore the physics of regular spinors in the Lounesto classification. These spinors are constructed by introducing two chiral phases. One is a degree of freedom present in choosing the $\gamma^{\mu}$ matrices that leaves the Lorentz…

High Energy Physics - Theory · Physics 2021-08-24 Cheng-Yang Lee

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 review how Elko arise as an extension of complex valued four-component Majorana spinors. This is followed by a discussion that constrains certain elements of phase freedom. A proof is reviewed that unambiguously establishes that Elko,…

High Energy Physics - Theory · Physics 2015-03-06 Dharam Vir Ahluwalia , Alekha Chandra Nayak

VSR symmetries are here naturally incorporated in the DKP algebra on the spin-0 and the spin-1 DKP sectors. We show that the Elko (dark) spinor fields structure plays an essential role on accomplishing this aim, unravelling hidden…

High Energy Physics - Theory · Physics 2014-11-11 R. T. Cavalcanti , J. M. Hoff da Silva , Roldao da Rocha

Manifestly Lorentz covariant Feynman rules are given in terms of a "scalar" field for each helicity, dramatically simplifying the calculation of amplitudes with massless particles. The spinor helicity formalism is properly identified as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Gordon Chalmers , Warren Siegel

By scrutinizing the singular sector of the Lounesto spinor classification, we investigate the correct definition of the expansion coefficient functions of local fermionic fields within a fully Lorentz covariant theory. As we can observe, a…

General Physics · Physics 2024-02-06 R. J. Bueno Rogerio , C. H. Coronado Villalobos

A concise discussion of spin-1/2 field equations with a special focus on Majorana spinors is presented. The Majorana formalism which describes massive neutral fermions by the help of two-component or four-component spinors is of fundamental…

High Energy Physics - Theory · Physics 2010-10-28 Andreas Aste

In many mathematical and physical contexts spinors are treated as Grassmann odd valued fields. We show that it is possible to extend the classification of reality conditions on such spinors by a new type of Majorana condition. In order to…

High Energy Physics - Theory · Physics 2007-05-23 A. F. Kleppe , Chris Wainwright