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The methods of effective field theory are used to explore the theoretical and phenomenological aspects of the torsion field. Spinor action coupled to electromagnetic field and torsion possesses an additional softly broken gauge symmetry.…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. S. Belyaev , I. L. Shapiro

We discuss the theoretical basis for the search of the possible experimental manifestations of the torsion field at low energies. First, the quantum field theory in an external gravitational field with torsion is reviewed. The…

High Energy Physics - Theory · Physics 2007-05-23 Ilya L. Shapiro

We consider the model, which contains a nonminimal coupling of Dirac spinors to torsion. Due to the action for torsion that breaks parity the left - right asymmetry of the spinors appears. This construction is used in order to provide…

High Energy Physics - Phenomenology · Physics 2011-03-28 M. A. Zubkov

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

We attempt to build systematically the low-energy effective Lagrangian for the Einstein--Cartan formulation of gravity theory that generally includes the torsion field. We list all invariant action terms in certain given order; some of the…

High Energy Physics - Theory · Physics 2015-03-19 Dmitri Diakonov , Alexander G. Tumanov , Alexey A. Vladimirov

We consider Poincare gravity coupled in a nonminimal way to spinors. The gravitational action is considered that contains both Palatini and Holst terms. Due to torsion the effective four - fermion interactions appear that may lead to the…

General Relativity and Quantum Cosmology · Physics 2010-09-07 M. A. Zubkov

We constrain the parameters of dynamical torsion, namely, the torsion-fermion coupling and the torsion mass, by making a careful analysis of current LEP-2 data at several energies, as well as CDF and D0 data from Run-I of the Tevatron. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Uma Mahanta , Sreerup Raychaudhuri

We propose a spin gauge field theory in which the curl of a Dirac fermion current density plays the role of the pseudovector charge density. In this field-theoretic model, spin interactions are mediated by a single scalar gauge boson in its…

High Energy Physics - Theory · Physics 2015-06-22 Ishita D. Choudhury , M. Cristina Diamantini , Giuseppe Guarnaccia , Amitabha Lahiri , Carlo A. Trugenberger

We formulate the Dirac oscillator covariantly in the presence of external non-Abelian gauge fields. More precisely, the matter field is written as $\Psi_{\alpha A}(x)$, where $\alpha$ denotes the Dirac index and $A$ the isospin index, so…

Quantum Physics · Physics 2026-04-17 Abdelmalek Boumali , Sarra Garrah

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

We discuss the possibility to construct an effective quantum field theory for an axial vector coupled to a Dirac spinor field. A massive axial vector describes antisymmetric torsion. The consistency conditions include unitarity and…

High Energy Physics - Theory · Physics 2009-10-31 G. de Berredo-Peixoto , J. A. Helayel-Neto , I. L. Shapiro

In the fermion content and gauge symmetry of the standard model (SM), we study the four-fermion operators in the torsion-free Einstein-Cartan theory. The collider signatures of irrelevant operators are suppressed by the high-energy cutoff…

High Energy Physics - Phenomenology · Physics 2015-09-10 She-Sheng Xue

We discuss the quantum dynamics of the Dirac fermion particle in a gauge gravitational field. The minimal as well as the Pauli-type nonminimal coupling of a fermion with external fields is studied, bringing into consideration the notions of…

High Energy Physics - Theory · Physics 2015-02-02 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

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

We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions to those of a cubic non-linear Dirac equation, given that the…

Analysis of PDEs · Mathematics 2021-10-19 Jonas Lampart , Loïc Le Treust , Simona Rota Nodari , Julien Sabin

We present a phenomenological constraint on a pseudovector light boson beyond the Standard Model, which can induce a long-range spin-dependent interaction $\alpha^{\prime\prime}({\bf s}_1\cdot{\bf s}_2)\,{\rm e}^{-\lambda r}/r$. In the…

High Energy Physics - Phenomenology · Physics 2014-11-04 S. G. Karshenboim

We study gravity with torsion in extra dimensions and derive an effective four-dimensional theory containing four-fermion contact operators at the fundamental scale of quantum gravity in the TeV range. These operators may have an impact on…

High Energy Physics - Phenomenology · Physics 2014-07-07 Oscar Castillo-Felisola , Cristobal Corral , Sergey Kovalenko , Ivan Schmidt

We consider the most general torsional completion of gravitation together with electrodynamics for the Dirac spinorial material fields, and we show that consistency arguments constrain torsion to be completely antisymmetric and the dynamics…

General Relativity and Quantum Cosmology · Physics 2015-10-27 Luca Fabbri

We introduce and analyze a system of relativistic fermions in a space-time continuum, which interact via an action principle as previously considered in a discrete space-time. The model is defined by specifying the vacuum as a sum of Dirac…

Mathematical Physics · Physics 2016-05-19 Felix Finster

We derive the closed-form one-loop Euler--Heisenberg effective actions for Dirac fermions coupled simultaneously to classical electromagnetic vector and massive pseudo-vector backgrounds within a controlled quasi-static approximation.…

High Energy Physics - Theory · Physics 2025-11-17 Lucas Pereira de Souza
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