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We consider the most general axial torsion completion of gravity with electrodynamics for $\frac{1}{2}$-spin spinors in an $8$-dimensional representation of the Dirac matter field: this theory will allow to define antimatter as matter with…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Luca Fabbri

We study Dirac field equations coupled to electrodynamics with metric and torsion fields: we discuss how special spinorial solutions are incompatible with torsion; eventually these results will be used to sketch a discussion on the problem…

General Relativity and Quantum Cosmology · Physics 2013-04-11 Luca Fabbri

In this article we will take into account the most complete back-ground with torsion and curvature, providing the most exhaustive coupling for the Dirac field: we will discuss the integrability of the interaction of the matter field and the…

General Relativity and Quantum Cosmology · Physics 2017-05-23 Luca Fabbri

We will consider the most general least-order torsional completion of gravity with electrodynamics for the Dirac matter fields, and we study the effects that the torsion-spin coupling will have in inducing self-interactions among the…

General Relativity and Quantum Cosmology · Physics 2014-12-30 Luca Fabbri

We will consider the torsional completion of gravity for a background filled with Dirac matter fields, studying the weak-gravitational non-relativistic approximation, in view of an assessment about their effective phenomenology: we discuss…

General Relativity and Quantum Cosmology · Physics 2014-09-03 Luca Fabbri

In this paper we consider torsion gravity in the case of the Dirac field, and by going into the rest frame we study what happens when a uniform precession as well as a phase are taken into account for the spinor field; we discuss how…

General Relativity and Quantum Cosmology · Physics 2017-08-10 Luca Fabbri

In this paper we consider the Dirac spinor field in interaction with a background of electrodynamics and torsion-gravity; by performing the polar reduction we acquire the possibility to introduce a new set of objects that have the…

General Physics · Physics 2019-01-14 Luca Fabbri

We consider the torsional completion of gravity with electrodynamics for Dirac matter fields; we will see that these Dirac matter field equations will develop torsionally-induced non-linear interactions, which can be manipulated in order to…

General Relativity and Quantum Cosmology · Physics 2014-10-07 Luca Fabbri

We consider the most general renormalizable theory of propagating torsion in Einstein gravity for the Dirac matter distribution and we demonstrate that in this case torsion is a massive axial-vector field whose coupling to the spinor gives…

General Relativity and Quantum Cosmology · Physics 2018-12-03 Luca Fabbri

A unified description of all interactions could be based on a higher-dimensional theory involving only spinor fields. The metric arises as a composite object and the gravitational field equations contain torsion-corrections as compared to…

High Energy Physics - Theory · Physics 2009-02-20 A. Hebecker , C. Wetterich

Recently, we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of the Dirac…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Luca Fabbri

In reply to the criticism made by Mielke in the pereceding Comment [Phys. Rev. D69 (2004) 128501] on our recent paper, we once again explicitly demonstrate the inconsistency of the coupling of a Dirac field to gravitation in the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yu. N. Obukhov , J. G. Pereira

In this paper we consider an axial torsion to build metric-compatible connections in conformal gravity, with gauge potentials; the geometric background is filled with Dirac spinors: scalar fields with suitable potentials are added…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Luca Fabbri

In this paper, we consider the torsional completion of gravitation for an underlying background filled with Dirac fields, applying it to the problem of neutrino oscillations: we discuss the effects of the induced torsional interactions as…

General Relativity and Quantum Cosmology · Physics 2016-01-26 Luca Fabbri , Stefano Vignolo

We study f(R)-gravity with torsion in presence of Dirac massive fields. Using the Bianchi identities, we formulate the conservation laws of the theory and we check the consistency with the matter field equations. Further, we decompose the…

General Relativity and Quantum Cosmology · Physics 2011-05-13 Luca Fabbri , Stefano Vignolo

In this work we present the general differential geometry of a background in which the space-time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Luca Fabbri

A new concept of geometrization of electromagnetic field is proposed. Instead of the concept of extended field and its point sources, the interacting Maxwellian and Dirac electron--positron fields are considered as a microscopic unified…

High Energy Physics - Theory · Physics 2007-05-23 O. A. Olkhov

We study the axial anomaly of Dirac spinors on gravitational instanton backgrounds in the context of nonlinear electrodynamics. In order to do so, we consider Einstein gravity minimally coupled to a recently proposed conformal…

High Energy Physics - Theory · Physics 2023-05-22 Francisco Colipí-Marchant , Cristóbal Corral , Daniel Flores-Alfonso , Leonardo Sanhueza

We derive a formula for the gravitational part of the spectral action for Dirac operators on 4-dimensional manifolds with totally anti-symmetric torsion. We find that the torsion becomes dynamical and couples to the traceless part of the…

High Energy Physics - Theory · Physics 2010-11-09 Florian Hanisch , Frank Pfaeffle , Christoph A. Stephan

We explore the Dirac equation in external electromagnetic and torsion fields. Motivated by the previous study of quantum field theory in an external torsion field, we include a nonminimal interaction of the spinor field with torsion. As a…

High Energy Physics - Theory · Physics 2009-10-31 Lewis H. Ryder , Ilya L. Shapiro
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