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We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas (2DEG) placed in a classically strong magnetic field. The latter leads to a non-linear current-voltage characteristic at a relatively weak…

Mesoscale and Nanoscale Physics · Physics 2007-09-25 M. G. Vavilov , I. L. Aleiner , L. I. Glazman

The Maxwell equations in the presence of sources are first derived without making use of the potentials and the Hamilton-Jacobi equation for classical electrodynamics is written down. The manifestly gauge invariant theory is then quantized…

Quantum Physics · Physics 2017-06-05 Partha Ghose

Non-linear electrodynamics coupled to general relativity is investigated. In general relativity, it is observed that the expansion of the universe is accelerating if the source of the gravitational field is the non-linear electromagnetic…

General Relativity and Quantum Cosmology · Physics 2018-10-05 Gauranga C. Samanta , Shantanu K. Biswal , Kazuharu Bamba

We identify new families of duality-invariant theories of electrodynamics. We achieve this in two different ways. On the one hand, we present an algorithm to construct a one-parameter family of exactly duality-invariant theories from a…

High Energy Physics - Theory · Physics 2025-11-11 Ángel J. Murcia

We review the modern classical electrodynamics problems and present the related main fundamental principles characterizing the electrodynamical vacuum-field structure. We analyze the models of the vacuum field medium and charged point…

Mathematical Physics · Physics 2015-11-03 Nikolai N. Bogolubov , Denis Blackmore , Anatolij K. Prykarpatsky

Recent years have seen a renewed interest in using `edge modes' to extend the pre-symplectic structure of gauge theory on manifolds with boundaries. Here we further the investigation undertaken in \cite{FP2018} by using the formalism of…

Mathematical Physics · Physics 2021-08-05 Philippe Mathieu , Nicholas J. Teh

A new term describing interactions between charge and potentials may be added to the right hand side of the Einstein equations. In the proposed term an additional tensor has been introduced containing a charge density, analogous to the…

General Physics · Physics 2016-09-08 Jacob Biemond

An axiomatic approach to electrodynamics reveals that Maxwell electrodynamics is just one instance of a variety of theories for which the name electrodynamics is justified. They all have in common that their fundamental input are Maxwell's…

Mathematical Physics · Physics 2016-08-04 Christian Pfeifer , Daniel Siemssen

We investigate the issue of electromagnetic duality on the light front. We work with Zwanziger's theory of electric and magnetic sources which is appropriate for treating duality. When quantized on the light-front in the light front gauge,…

High Energy Physics - Theory · Physics 2016-12-28 Asmita Mukherjee , Somdatta Bhattacharya

Quantum Electrodynamics (QED) serves as a useful toy model for classical observables in gravitational two-body systems with reduced complexity due to the linearity of QED. We investigate scattering observables in scalar QED at the sixth…

High Energy Physics - Theory · Physics 2022-09-07 Zvi Bern , Juan Pablo Gatica , Enrico Herrmann , Andres Luna , Mao Zeng

There exists a formulation of the Maxwell theory in terms of two vector potentials, one electric and one magnetic. The action is then manifestly invariant under electric-magnetic duality transformations, which are rotations in the…

High Energy Physics - Theory · Physics 2014-03-14 Claudio Bunster , Marc Henneaux

We examine Podolsky's electrodynamics, which is noninvariant under the usual duality transformation. We deduce a generalization of Hodge's star duality, which leads to a dual gauge field and restores to a certain extent the dual symmetry.…

High Energy Physics - Theory · Physics 2016-10-11 F. T. Brandt , J. Frenkel , D. G. C. McKeon

Classical Electrodynamics is not a consistent theory because of its field inadequate behaviour in the vicinity of their sources. Its problems with the electron equation of motion and with non-integrable singularity of the electron self…

High Energy Physics - Theory · Physics 2008-02-03 Manoelito M. de Souza

In the framework of non-relativistic QED, we show that the renormalized mass of the electron (after having taken into account radiative corrections) appears as the kinematic mass in its response to an external potential force. Specifically,…

Mathematical Physics · Physics 2018-03-28 Volker Bach , Thomas Chen , Jeremy Faupin , Juerg Froehlich , Israel Michael Sigal

In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action…

High Energy Physics - Theory · Physics 2022-09-07 Dmitri P. Sorokin

We use a metric invariant stress theory of continuum mechanics to formulate a simple generalization of the the basic variables of electrodynamics and Maxwell's equations to general differentiable manifolds of any dimension, thus viewing…

Mathematical Physics · Physics 2014-12-16 Reuven Segev

Maxwell's equations and the Lorentz force density are expressed using an alternative simultaneity gauge. As a result, they describe electrodynamics for an observer travelling with a constant velocity through an isotropic medium. If desired,…

History and Philosophy of Physics · Physics 2013-06-21 Benjamin Nasmith

Classical electrodynamics can be based on the conservation laws of electric charge and magnetic flux. Both laws are independent of the metric and the linear connection of spacetime. Within the framework of such a premetric electrodynamics…

Classical Physics · Physics 2007-05-23 Friedrich W. Hehl , Yakov Itin , Yuri N. Obukhov

The free action for massless Ramond-Ramond fields is derived from closed superstring field theory using the techniques of Siegel and Zwiebach. For the uncompactified Type IIB superstring, this gives a manifestly Lorentz-covariant action for…

High Energy Physics - Theory · Physics 2009-10-30 Nathan Berkovits

The Dualized Standard Model which has a number of very interesting physical consequences is itself based on the concept of a nonabelian generalization to electric-magnetic duality. This paper explains first the reasons why the ordinary…

High Energy Physics - Theory · Physics 2014-11-18 HM Chan , ST Tsou