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The dipole coupling term between a system of N particles with total charge zero and the electromagnetic field is derived in the presence of a weak gravitational field. It is shown that the form of the coupling remains the same as in flat…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Karl-Peter Marzlin

This paper deals with situations that illustrate how the violation of Lorentz symmetry in the gauge sector may contribute to magnetic moment generation of massive neutral particles with spin-1/2 and spin-1. The procedure we adopt here is…

High Energy Physics - Theory · Physics 2009-07-24 H. Belich , L. P. Colatto , T. Costa-Soares , J. A. Helayël-Neto , M. T. D. Orlando

In this paper, we describe the generation of the CPT-even, aether-like terms via the new CPT-even magnetic-like coupling. We carry out a study the loop corrections generated by this coupling. Previous investigations has been initiated on…

High Energy Physics - Theory · Physics 2017-11-16 H. Belich , T. Mariz , J. R. Nascimento , A. Yu. Petrov

In the standard Einstein-Cartan theory(EC), matter fields couple to gravitation field through the Minimal Coupling Procedure(MCP), yet leaving the theory an ambiguity: applying MCP to the action or to the equation of motion would lead to…

General Relativity and Quantum Cosmology · Physics 2019-12-09 Zi-Wei Chen , Run Diao , Xiang-Song Chen

We consider modified theories of gravity with a direct coupling between matter and geometry, denoted by an arbitrary function in terms of the Ricci scalar. Due to such a coupling, the matter stress tensor is no longer conserved and there is…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Yousef Bisabr

The influence of a Lorentz-violating fixed background on fermions is considered by means of a torsion-free non-minimal coupling. The non-relativistic regime is assessed and the Lorentz-violating Hamiltonian is determined. The effect of this…

High Energy Physics - Theory · Physics 2009-11-11 H. Belich , T. Costa-Soares , M. M. Ferreira , J. A. Helayel-Neto , F. M. O. Mouchereck

We investigate the cosmology of massive spinor electrodynamics when torsion is non-vanishing. A non-minimal interaction is introduced between the torsion and the vector field and the coupling constant between them plays an important role in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Edward J. Kim , Seyen Kouwn , Phillial Oh , Chan-Gyung Park

Consistency with the Maxwell equations determines how matter must be coupled to the electro-magnetic field (EMF) within the minimal coupling scheme. Specifically, if the Hamiltonian includes just a short-range repulsion among the conduction…

Strongly Correlated Electrons · Physics 2020-03-11 Jan Skolimowski , Adriano Amaricci , Michele Fabrizio

We call a manifold with torsion and nonmetricity the metric-affine manifold. The nonmetricity leads to a difference between the auto parallel line and the extreme line, and to a change in the expression of the Frenet transport and moving…

General Relativity and Quantum Cosmology · Physics 2008-02-29 Aleks Kleyn

We consider the non-minimal coupling between matter and the geometry in the f(R) theory. In the new theory which we established, a new scalar $\psi$ has been defined and we give it a certain stability condition. We intend to take a closer…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Qiang Xu , Sheng-yu Tan

We recently proposed a simple dilaton-derived quintessence model in which the scalar field was non-minimally coupled to cold dark matter, but not to `visible' matter. Such couplings can be attributed to the dilaton in the low energy limit…

Astrophysics · Physics 2010-12-09 Rachel Bean

We look for empirical evidence of a non-minimal coupling (NMC) between dark matter (DM) and gravity in the dynamics of local spiral galaxies. In particular, we consider a theoretically motivated NMC that may arise dynamically from the…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-14 Giovanni Gandolfi , Andrea Lapi , Stefano Liberati

Dimensionality aspects of non-minimal electromagnetic couplings are investigated. By means of the Foldy-Wouthuysen transformation, we attain (non-)relativistic interactions related to the non-minimal coupling in three-dimensional spacetime,…

High Energy Physics - Theory · Physics 2021-05-25 M. G. Campos , L. P. R. Ospedal

The motion of a conducting electron in a quantum dot with one or several dislocations in the underlying crystal lattice is considered in the continuum picture, where dislocations are represented by torsion of space. The possible effects of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Erik Aurell

Fermions in two-dimensional space, commonly called $(1+2)$-dimensional fermions, exhibit intriguing and distinctive characteristics that distinguish them from their higher-dimensional counterparts. This paper offers a comprehensive…

High Energy Physics - Theory · Physics 2025-10-28 J. A. A. S. Reis , L. Lisboa-Santos , Fabiano M. Andrade , Frankbelson dos S. Azevedo , Edilberto O. Silva

We propose a new model in the teleparallel framework where we consider a scalar field nonminimally coupled to both the torsion $T$ and a boundary term given by the divergence of the torsion vector $B=\frac{2}{e}\partial_\mu (eT^\mu)$. This…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Sebastian Bahamonde , Matthew Wright

We study the evolution of cosmological perturbations around a homogeneous and isotropic background in the framework of the non-minimal torsion-matter coupling extension of $f(T)$ gravity. We are concerned with the effects of the non-minimal…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Manuel Gonzalez-Espinoza , Giovanni Otalora , Joel Saavedra , Nelson Videla

We construct the most general effective Lagrangian coupling gravity and electromagnetism up to mass dimension 6 by enumerating all possible non-minimal coupling terms respecting both diffeomorphism and gauge invariance. In all, there are…

General Relativity and Quantum Cosmology · Physics 2012-05-09 Yi-Zen Chu , David M. Jacobs , Yifung Ng , Glenn D. Starkman

It is shown here that symmetric hyperbolicity, which guarantees well-posedness, leads to a set of two inequalities for matrices whose elements are determined by a given theory. As a part of the calculation, carried out in a mostly-covariant…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Érico Goulart , Santiago Esteban Perez Bergliaffa

In this paper we discuss a class of models that address the issue of explaining the gravitational dynamics at the galactic scale starting from a geometric point of view. Instead of claiming the existence of some hidden coupling between dark…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Dario Bettoni , Stefano Liberati , Lorenzo Sindoni