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In the current paper, we construct a Lorentz-violating electrodynamics in (1+2) spacetime dimensions from the electromagnetic sector of the nonminimal Standard-Model Extension (SME) in (1+3) dimensions. Subsequently, we study some of the…

High Energy Physics - Theory · Physics 2019-12-04 Manoel M. Ferreira , João A. A. S. Reis , Marco Schreck

Non-linear electrodynamic models are re-assessed in this paper to pursue an investigation of the kinematics of the Compton effect in a magnetic background. Before considering specific models, we start off by presenting a general non-linear…

High Energy Physics - Theory · Physics 2021-07-14 M. J. Neves , Jorge B. de Oliveira , L. P. R. Ospedal , J. A. Helayël-Neto

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

The differential form of the Maxwell's equations was first derived based on an assumption that the media are stationary, which is the foundation for describing the electro-magnetic coupling behavior of a system. For a general case in which…

Classical Physics · Physics 2022-08-29 Zhong Lin Wang

In this work, we develop a potential-based formalism for Maxwell's equations in isotropic media with weak spatial dispersion within the electric quadrupole-magnetic dipole approximation. We introduce an operator form of the constitutive…

Other Condensed Matter · Physics 2025-10-28 Yury Solyaev

We explore how higher-order derivative terms impact a physical observable within a Lorentz-Symmetry Violating (LSV) framework. We specifically examine Podolsky electrodynamics coupled with the Carroll-Field-Jackiw model (CFJ). Our analysis…

High Energy Physics - Phenomenology · Physics 2024-09-16 J. P. Ferreira , Patricio Gaete , José Abdalla Helayël-Neto

We study magnetic monopoles in a Lorentz- and CPT-odd electrodynamical framework in (3+1) dimensions. This is the standard Maxwell model extended by means of a Chern-Simons-like term, $b_\mu\tilde{F}^{\mu\nu}A_\nu$ ($b_\mu$ constant), which…

High Energy Physics - Theory · Physics 2008-11-26 N. M. Barraz , J. M. Fonseca , W. A. Moura-Melo , J. A. Helayël-Neto

Some mathematical inconsistencies in the conventional form of Maxwell's equations extended by Lorentz for a single charge system are discussed. To surmount these in framework of Maxwellian theory, a novel convection displacement current is…

High Energy Physics - Theory · Physics 2015-06-26 Andrew E. Chubykalo , Roman Smirnov-Rueda

Here we discuss the standard model extension in the presence of CPT-odd Lorentz violation (LV) sector and of a deformed Heisenberg algebra that leads to a non-commutative theory with minimum length (ML). We derive the set of Maxwell…

General Physics · Physics 2017-06-16 T. Prudencio , H. Belich , H. L. C. Louzada

We propose a modification of Maxwell's macroscopic fundamental set of equations in vacuum in order to clarify Faraday's law of induction. Using this procedure, the Lorentz force is no longer separate from Maxwell's equations. The Lorentz…

Classical Physics · Physics 2009-10-17 Mario J. Pinheiro

The Maxwell-Lorentz theory of electrodynamics cannot readily be applied to a system of point charges: the electromagnetic field is not well-defined at the position of a point charge, an energy conservation argument is not obvious, an…

Classical Physics · Physics 2020-03-24 Mischa Moerkamp

In this paper, we obtain dispersion relations corresponding to plane wave solutions in various Lorentz-breaking extensions of gravity with dimensions 3, 4, 5 and 6. We demonstrate that these dispersion relations display an usual…

General Relativity and Quantum Cosmology · Physics 2021-05-11 J. R. Nascimento , A. Yu. Petrov , A. R. Vieira

A close examination of the Maxwell-Lorentz theory of electrodynamics reveals that polarization and magnetization of material media need not be treated as local averages over small volumes - volumes that nevertheless contain a large number…

Optics · Physics 2014-04-10 Masud Mansuripur

In the present paper we study some new classical Lorentz violating effects in planar electrodynamics due to the presence of stationary point-like field sources. Starting from the Carroll-Field-Jackiw model defined in (3+1) dimensions, which…

High Energy Physics - Theory · Physics 2024-01-11 L. H. C. Borges , A. F. Ferrari , P. H. O. da Silva , F. A. Barone

We discuss the construction of Maxwellian electrodynamics in 2+1 dimensions and some of its applications. Special emphasis is given to the problem of the retarded potentials and radiation, where substantial differences with respect to the…

Classical Physics · Physics 2021-05-19 D. Boito , L. N. S. de Andrade , G. de Sousa , R. Gama , C. Y. M. London

Podolsky electrodynamics, a higher-derivative extension of Maxwell's theory characterized by the Podolsky parameter $\lambda=1/m$, which modifies the photon dispersion relation and regularizes short-distance divergences, is investigated.…

High Energy Physics - Theory · Physics 2026-04-20 D. S. Cabral , L. A. S. Evangelista , A. F. Santos

We develop a differential-form approach to systematically derive the Newman-Penrose null-tetrad equations for Lorentz-violating extensions of Maxwell electrodynamics. The coordinate-independent nature of differential forms allows the…

High Energy Physics - Phenomenology · Physics 2026-03-03 Zhi Xiao , Bing Sun , Tao Zhu

This paper is devoted to study the thermal aspects of a photon gas within the context of Planck-scale-modified dispersion relations. We study the spectrum of radiation and the correction to the \textit{Stefan$-$Boltzmann} law in different…

High Energy Physics - Theory · Physics 2021-09-23 A. A. Araújo Filho , A. Yu. Petrov

We formulate a covariant version of Maxwell-like fracton electrodynamics in six dimensions using a symmetric tensor gauge field with scalar gauge symmetry $\delta A_{\mu\nu}=\partial_\mu\partial_\nu\Lambda$. This provides a relativistic…

High Energy Physics - Theory · Physics 2026-04-20 Nicola Maggiore

There exist two deformations of standard electrodynamics that describe Lorentz symmetry violation in the photon sector: CPT-odd Maxwell-Chern-Simons theory and CPT-even modified Maxwell theory. In this article, we focus on the parity-odd…

High Energy Physics - Theory · Physics 2015-03-19 Marco Schreck