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We show that there is a function of one variable's worth of Lagrangians for a single Maxwell field coupled to gravity whose equations of motion admit electric-magnetic duality. Such Lagrangians are given by solutions of the Hamilton-Jacobi…

High Energy Physics - Theory · Physics 2009-10-07 G W Gibbons , D A Rasheed

Taking into account the recent developments associated with duality in physics, this article is focused on investigating the properties of a tensor generalization of the electrodynamics dual to the standard vector model even considering the…

High Energy Physics - Theory · Physics 2024-03-19 G. B. de Gracia , B. M. Pimentel

We apply duality transformation to the Abelian Higgs model in 3+1 dimensions in the presence of electrons coupled to the gauge field. The Higgs field is in the symmetry broken phase, where flux strings can form. Dualization brings in an…

High Energy Physics - Theory · Physics 2022-03-02 Shantonu Mukherjee , Amitabha Lahiri

The electromagnetic theory is considered in the framework of the generally covariant approach, that is applied to the analysis of electromagnetism in noninertial coordinate and frame systems. The special-relat\-ivistic formulation of…

Classical Physics · Physics 2021-10-14 Yuri N. Obukhov

In this article we have illustrated how is possible to formulate Maxwell's equations in vacuum in an independent form of the usual systems of units. Maxwell's equations, are then specialized to the most commonly used systems of units:…

Classical Physics · Physics 2019-07-02 Francesco Ferdinando Summa

We give a global formulation of the coupling of four-dimensional scalar sigma models to Abelian gauge fields for the generalized situation when the "duality structure" of the Abelian gauge theory is described by a flat symplectic vector…

High Energy Physics - Theory · Physics 2019-12-19 C. I. Lazaroiu , C. S. Shahbazi

In these lectures I review the general structure of electric--magnetic duality rotations in every even space--time dimension. In four dimensions, which is my main concern, I discuss the general issue of symplectic covariance and how it…

High Energy Physics - Theory · Physics 2025-03-12 Pietro Fré

The coupling of the electromagnetic field to gravity is an age-old problem. Presently, there is a resurgence of interest in it, mainly for two reasons: (i) Experimental investigations are under way with ever increasing precision, be it in…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Friedrich W. Hehl , Yuri N. Obukhov

Einstein-Maxwell field equations correspoding to higher dimensional description of static spherically symmetric space-time have been solved under two specific set of conditions, viz., (i) $\rho \ne 0$, $\nu^\prime= 0$ and (ii) $\rho=0$, $…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Saibal Ray

A number of attempts have recently been made to extend the conjectured $S$ duality of Yang Mills theory to gravity. Central to these speculations has been the belief that electrically and magnetically charged black holes, the solitons of…

High Energy Physics - Theory · Physics 2008-11-26 S. W. Hawking , S. F. Ross

A generalization of Born-Infeld non-linear vacuum electrodynamics involving axion and dilaton fields is constructed with couplings dictated by electromagnetic duality and SL(2,R) symmetries in the weak field limit. Besides the Newtonian…

High Energy Physics - Theory · Physics 2013-01-21 D. A. Burton , T. Dereli , R. W. Tucker

Starting with the 2+1 Einstein--Maxwell--Dilaton system with a cosmological constant and assuming two commuting Killing symmetries we derive the corresponding $1+0 \sigma$--model. It is shown that, for general values of the coupling…

High Energy Physics - Theory · Physics 2009-10-31 Chiang-Mei Chen

In differential-form representation, the Maxwell equations are represented by simple differential relations between the electromagnetic two-forms and source three-forms while the electromagnetic medium is defined through a constitutive…

Classical Physics · Physics 2007-05-23 Ismo V. Lindell , Ari Sihvola

We generalize the electromagnetic duality between a massless, canonical scalar field and a 2-form gauge field in 4-dimensional spacetime to scalar-tensor theories. We derive the action of 2-form gauge field that is dual to two kinds of…

High Energy Physics - Theory · Physics 2019-10-30 Daisuke Yoshida

In four dimensions, partially massless fields of all spins and depths possess a duality invariance akin to electric-magnetic duality. We construct metric-like gauge invariant curvature tensors for partially massless fields of all integer…

High Energy Physics - Theory · Physics 2016-09-26 Kurt Hinterbichler , Austin Joyce

By modeling a linear polarizable and magnetizable medium (magneto-dielectric) with two quantum fields, namely E and M, electromagnetic field is quantized in such a medium consistently and systematically. A Hamiltonian is proposed from…

Quantum Physics · Physics 2009-11-11 F. Kheirandish , A. Amooshahi

This thesis is divided in two parts. The first part contains the study of some properties of the electromagnetic duality in 4 dimensions. An extended double potential formalism for linearized gravity is introduced which allows to write an…

High Energy Physics - Theory · Physics 2013-12-23 Cedric Troessaert

The source-free Maxwell action is invariant under electric-magnetic duality rotations in arbitrary spacetimes. This leads to a conserved classical Noether charge. We show that this conservation law is broken at the quantum level in presence…

General Relativity and Quantum Cosmology · Physics 2017-03-22 I. Agullo , A. del Rio , J. Navarro-Salas

We introduce a class of solutions in $2+1-$dimensional Einstein-Power-Maxwell theory for circularly symmetric electric field. The electromagnetic field is considered with an angular component given by $% F_{\mu \nu }=E_{0}\delta_{\mu…

General Relativity and Quantum Cosmology · Physics 2014-01-31 S. Habib Mazharimousavi , M. Halilsoy , Ozay Gurtug

Using two new well defined 4-dimensional potential vectors, we formulate the classical Maxwell's field theory in a form which has manifest Lorentz covariance and SO(2) duality symmetry in the presence of magnetic sources. We set up a…

High Energy Physics - Theory · Physics 2009-11-07 Wen-Jun Chen , Kang Li , Carlos Naón