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This paper offers an informal instructive introduction to some of the main notions of geometric continuum mechanics for the case of smooth fields. We use a metric invariant stress theory of continuum mechanics to formulate a simple…

Mathematical Physics · Physics 2023-12-14 Reuven Segev

Given a model for self-dual non-linear electrodynamics in four spacetime dimensions, any deformation of this theory which is constructed from the duality-invariant energy-momentum tensor preserves duality invariance. In this work we present…

High Energy Physics - Theory · Physics 2023-11-30 Christian Ferko , Sergei M. Kuzenko , Liam Smith , Gabriele Tartaglino-Mazzucchelli

We consider couplings of electrically and magnetically charged sources to the maximally symmetric non-linear extension of Maxwell's theory called ModMax. The aim is to reveal physical effects which distinguish ModMax from Maxwell's…

High Energy Physics - Theory · Physics 2022-08-17 Kurt Lechner , Pieralberto Marchetti , Andrea Sainaghi , Dmitri P. Sorokin

In the Cohen-Glashow Very Special Relativity we exhibit possible modifications to the Maxwell theory and to the quantum electrodynamics Lagrangian in some generality, and discuss characteristic features depending on the modifications.…

High Energy Physics - Theory · Physics 2009-08-31 Sangmo Cheon , Choonkyu Lee , Seung Jae Lee

We consider a model of topological solitons where charged particles have finite mass and the electric charge is quantised already at the classical level. In the electrodynamic limit, which physically corresponds to electrodynamics of…

High Energy Physics - Theory · Physics 2008-11-26 Manfried Faber , Alexander P. Kobushkin

We consider a possible (parity conserving) interaction between the electromagnetic field $F$ and a torsion field $T^\alpha$ of spacetime. For generic elementary torsion, gauge invariant coupling terms of lowest order fall into two classes…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yakov Itin , Friedrich W. Hehl

The problems considered refer to the material equations of electric- and magnetoelectric induction. Some contradictions found in fundamental studies on classical electrodynamics have been explained. The notion magnetoelectric induction has…

General Physics · Physics 2007-05-23 F. F. Mende

In this contribution, we construct a supersymmetric extension of axionic electrodynamics by adopting the superspace/superfield approach. In terms of component fields, the resulting Lagrangian describes the interactions among the axion, the…

High Energy Physics - Phenomenology · Physics 2026-04-09 C. Roldán-Domínguez , H. Belich , W. Spalenza , A. L. M. A. Nogueira , M. Reetz , J. A. Helayël-Neto

In classical Maxwell's electromagnetism, monopole term of the electric field is proportional to $r^{-2}$, while higher order multipole terms, sourced by anisotropic sources, fall-off faster. However, in nonlinear electromagnetism even a…

General Relativity and Quantum Cosmology · Physics 2024-07-11 Ana Bokulić , Tajron Jurić , Ivica Smolić

The most general chiral Lagrangian for electroweak interactions with the complete set of $SU(2)_L\times U(1)_Y$ invariant operators up to dimension four is considered. The two-point and three-point functions with external gauge fields are…

High Energy Physics - Phenomenology · Physics 2009-10-22 M. J. Herrero , E. Ruiz Morales

We show that the partition function of free Maxwell theory on a generic Euclidean four-manifold transforms in a non-trivial way under electric-magnetic duality. The classical part of the partition sum can be mapped onto the genus-one…

High Energy Physics - Theory · Physics 2008-11-26 Erik Verlinde

In the standard Lagrangian and Hamiltonian approach to Maxwell's theory the potentials $A^{\mu}$ are taken as the dynamical variables. In this paper I take the electric field $\vec{E}$ and the magnetic field $\vec{B}$ as the the dynamical…

Classical Physics · Physics 2021-01-26 Dan N. Vollick

We will provide detailed arguments showing that the set of Maxwell equations, and the corresponding wave equations, do not properly describe the evolution of electromagnetic wave-fronts. We propose a nonlinear corrected version that is…

General Physics · Physics 2018-03-28 D. Funaro

Spontaneously broken gauge theories are described as a perturbation of selfdual gauge theory. Instead of the incorporation of scalar degrees of freedom, the massive component of the gauge field is obtained from an anti-selfdual field…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

Effective Riemann space effect of vacuum nonlinear electrodynamics is considered in the context of theory for unified gravitation and electromagnetism. The electromagnetic four-vector potential in the scope of Born-Infeld nonlinear…

General Relativity and Quantum Cosmology · Physics 2010-06-30 Alexander A. Chernitskii

We consider thermodynamics of the excluded volume particles at finite temperature and chemical potential, in the low density approximation. We assume Boltzmann statistics and study the influence of the excluded volume on an ideal gas…

High Energy Physics - Phenomenology · Physics 2016-02-17 Krzysztof Redlich , Kacper Zalewski

The premetric approach to electrodynamics provides a unified description of a wide class of electromagnetic phenomena. In particular, it involves axion, dilaton and skewon modifications of the classical electrodynamics. This formalism…

High Energy Physics - Theory · Physics 2009-11-13 Yakov Itin

In this work we take into consideration a generalization of Gauge Theories based on the analysis of the structural characteristics of Maxwell theory, which can be considered as the prototype of such kind of theories (Maxwell-like). Such…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Germano Resconi , Ignazio Licata , Christian Corda

The electrodynamics of topological insulators (TIs) is described by modified Maxwell's equations, which contain additional terms that couple an electric field to a magnetization and a magnetic field to a polarization of the medium, such…

Strongly Correlated Electrons · Physics 2017-05-16 V. Dziom , A. Shuvaev , A. Pimenov , G. V. Astakhov , C. Ames , K. Bendias , J. Böttcher , G. Tkachov , E. M. Hankiewicz , C. Brüne , H Buhmann , L. W. Molenkamp

In the present article, we discuss a modification of classical electrodynamics in which ``ordinary'' point charges are absent. The modified equations contain additional terms describing the induced charges and currents. The densities of the…

Classical Physics · Physics 2009-11-13 A. V. Fedorov , E. G. Kalashnikov