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A mechanism for determining fermion masses in four spacetime dimensions is presented, which uses a scalar-field domain wall extending in a fifth spacelike dimension and a special choice of Yukawa coupling constants. A bounded and discrete…

高能物理 - 理论 · 物理学 2015-06-23 F. R. Klinkhamer , L. Yang

Bearing in mind the Lounesto spinor classification, we connect the expansion coefficients of well behaved fermionic quantum field, i.e., a local field within a full Lorentz covariant theory, with and only with a given subclass of Type-2…

高能物理 - 理论 · 物理学 2021-04-23 R. J. Bueno Rogerio , J. M. Hoff da Silva , C. H. Coronado Villalobos

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,…

高能物理 - 理论 · 物理学 2017-05-17 D. M. Dantas , Roldao da Rocha , C. A. S. Almeida

This work has as the main aim to explore the nature of the fermionic fields, through a classification of spinor fields about physical space of interest, such as the bulk and the compactified space $S^7$ from the supergravity theories. This…

高能物理 - 理论 · 物理学 2017-06-20 K. P. S. de Brito

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

This study investigates the localization of spinor fields in braneworld models in six or higher dimensions. We study the relationship between fermions in spacetimes of $2n+2$ and $2n$ dimensions. In conformally flat extra-dimensional…

高能物理 - 理论 · 物理学 2024-05-14 Jun-Jie Wan , Yu-Xiao Liu

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

The RIM spinors (Restricted Inomata McKinley spinors) constitutes a very particular class of solutions of the non-linear Heisenberg equation. As a matter of fact, a free linear massive or even mass-less Dirac field can be decomposed into a…

高能物理 - 理论 · 物理学 2018-06-11 C. H. Coronado Villalobos , R. J. Bueno Rogerio , D. Beghetto

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

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,…

综合物理 · 物理学 2020-12-22 R. J. Bueno Rogerio

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…

高能物理 - 理论 · 物理学 2021-08-24 Cheng-Yang Lee

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…

高能物理 - 理论 · 物理学 2020-03-12 C. H. Coronado Villalobos , R. J. Bueno Rogerio , A. R. Aguirre , D. Beghetto

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

This paper deals with the classification of spinor fields according to the bilinear covariants in 7 dimensions. The previously investigated Riemannian case is characterized by either one spinor field class, in the real case of Majorana…

高能物理 - 理论 · 物理学 2016-01-26 L. Bonora , Roldao da Rocha

Extending the investigations about the theory of duals, we analyze duals built up with the aid of discrete symmetry operators. We scrutinize algebraic and physical constraints (encompassing them in a theoretical scope) in order to verify…

高能物理 - 理论 · 物理学 2022-10-05 J. M. Hoff da Silva , R. J. Bueno Rogerio , N. C. R. Quinquiolo

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

In the Lounesto classification, there are three types of regular spinors. They are classified by the condition that at least one of the scalar or pseudo scalar norms are non-vanishing. The Dirac spinors are regular spinors because their…

高能物理 - 理论 · 物理学 2024-11-15 Cheng-Yang Lee

We compute the spinor class field for a genus of orders, in a central simple algebra of higher dimension, that are intersections of two maximal orders. In particular, we compute the number of spinor genera in a genus of such orders, as the…

数论 · 数学 2013-09-24 Luis Arenas-Carmona

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

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…

综合物理 · 物理学 2017-11-01 J. M. Hoff da Silva , R. T. Cavalcanti