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In this work, we consider a generalization of quantum electrodynamics including Lorentz violation and torsional-gravity, in the context of general spinor fields as classified in the Lounesto scheme. Singular spinor fields will be shown to…

High Energy Physics - Theory · Physics 2017-05-02 A. F. Ferrari , J. A. S. Neto , R. da Rocha

We consider the Riemann-Cartan geometry as a basis for the Einstein-Sciama-Kibble theory coupled to spinor fields: we focus on $f(R)$ and conformal gravities, regarding the flag-dipole spinor fields, type-(4) spinor fields under the…

General Relativity and Quantum Cosmology · Physics 2013-10-31 Roldao da Rocha , Luca Fabbri , J. M. Hoff da Silva , R. T. Cavalcanti , J. A. Silva-Neto

Lounesto's classification of spinors is a comprehensive and exhaustive algorithm that, based on the bilinears covariants, discloses the possibility of a large variety of spinors, comprising regular and singular spinors and their unexpected…

High Energy Physics - Theory · Physics 2018-02-28 L. Bonora , J. M. Hoff da Silva , R. da Rocha

Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear covariants are expressed in terms of algebraic spinor fields,…

Mathematical Physics · Physics 2014-10-03 Rafal Ablamowicz , Icaro Gonçalves , 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

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…

General Relativity and Quantum Cosmology · Physics 2020-02-04 Roberto Cianci , Luca Fabbri , Stefano Vignolo

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…

High Energy Physics - Theory · Physics 2017-06-20 K. P. S. de Brito

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…

High Energy Physics - Theory · Physics 2021-04-23 R. J. Bueno Rogerio , J. M. Hoff da Silva , C. H. Coronado Villalobos

A spinor fields classification with non-Abelian gauge symmetries is introduced, generalizing the the U(1) gauge symmetries-based Lounesto's classification. Here, a more general classification, contrary to the Lounesto's one, encompasses…

High Energy Physics - Theory · Physics 2018-03-28 Luca Fabbri , Roldao da Rocha

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…

High Energy Physics - Theory · Physics 2024-11-15 Cheng-Yang Lee

A classification of spinor fields according to the associated bilinear covariants is constructed in arbitrary dimensions and metric signatures, generalizing Lounesto's 4D spinor field classification. In such a generalized classification a…

High Energy Physics - Theory · Physics 2015-02-17 L. Bonora , K. P. S. de Brito , Roldao da Rocha

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…

Mathematical Physics · Physics 2026-01-26 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

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

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

The classification of emergent spinor fields according to modified bilinear covariants is scrutinized, in spacetimes with nontrivial topology, which induce inequivalent spin structures. Extended Clifford algebras, constructed by equipping…

High Energy Physics - Theory · Physics 2024-05-09 J. M. Hoff da Silva , R. da Rocha

Spinor gravity is a functional integral formulation of gravity based only on fundamental spinor fields. The vielbein and metric arise as composite objects. Due to the lack of local Lorentz-symmetry new invariants in the effective…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Wetterich

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 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

We show that the Einstein-Hilbert, the Einstein-Palatini, and the Holst actions can be derived from the Quadratic Spinor Lagrangian (QSL), when the three classes of Dirac spinor fields, under Lounesto spinor field classification, are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roldao da Rocha , J. G. Pereira
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