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We consider a modified version of four-dimensional electrodynamics, which has a photonic Chern-Simons-like term with spacelike background vector in the action. Light propagation in curved spacetime backgrounds is discussed using the…

High Energy Physics - Theory · Physics 2008-12-18 E. Kant , F. R. Klinkhamer

We take as starting point the planar model arising from the dimensional reduction of the Maxwell Electrodynamics with the (Lorentz-violating) Carroll-Field-Jackiw term. We then write and study the extended Maxwell equations and the…

High Energy Physics - Theory · Physics 2016-08-16 H. Belich , M. M. Ferreira , J. A. Helayël-Neto , M. T. D. Orlando

This paper aims to present an elaborate view on the motivation and realization of the idea to extend Maxwell's electrodynamics to Extended Electrodynamics in a reasonable and appropriate way in order to make it possible to describe…

patt-sol · Physics 2008-02-03 S. Donev , M. Tashkova

We consider a (2+1)-dimensional modified electrodynamics endowed with terms that are either Lorentz-invariant or Lorentz-violating and involve an ever increasing number of derivatives. Our construction relies on U(1) gauge invariance and…

High Energy Physics - Theory · Physics 2023-10-02 Letícia Lisboa-Santos , João A. A. S. Reis , Marco Schreck , Manoel M. Ferreira

The electromagnetic fields in Maxwell's theory satisfy linear equations in the classical vacuum. This is modified in classical non-linear electrodynamic theories. To date there has been little experimental evidence that any of these…

Mathematical Physics · Physics 2015-05-14 T. Dereli , R. W. Tucker

Conformal electrodynamics is a particularly interesting example of power Maxwell non-linear electrodynamics, designed to possess conformal symmetry in all dimensions. In this paper, we propose a regularized version of Conformal…

General Relativity and Quantum Cosmology · Physics 2024-04-23 David Kubiznak , Otakar Svítek , Tayebeh Tahamtan

Some aspects of the nonbirefringent CPT-even gauge sector of the Standard Model Extension (SME), in the vicinity of a semi-transparent mirror, are investigated in this paper. We first consider a model where the Lorentz symmetry breaking is…

High Energy Physics - Theory · Physics 2022-05-12 L. H. C. Borges , A. F. Ferrari

In this work, we study a model in nonlinear electrodynamics in the presence of a CPT-even term that violates Lorentz symmetry. The Lorentz-breaking vector, in addition to the usual background magnetic field, produces interesting effects in…

High Energy Physics - Theory · Physics 2024-05-24 E. Neres Júnior , J. C. C. Felipe , A. P. Baêta Scarpelli

We extend the Einstein-Maxwell-axion theory including into the Lagrangian cross-terms of the dynamo-optical type, which are quadratic in the Maxwell tensor, linear in the covariant derivative of the macroscopic velocity four-vector, and…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Alexander B. Balakin , Timur Yu. Alpin

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we…

High Energy Physics - Phenomenology · Physics 2010-10-27 Zhi Xiao , Bo-Qiang Ma

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Nicolas Yunes , Clifford M. Will

We investigate the thermodynamics of a photon gas in an effective field theory model that describes Lorentz violations through dimension-five operators and Horava-Lifshitz theory. We explore the electrodynamics of the model which includes…

High Energy Physics - Theory · Physics 2018-08-31 M. A. Anacleto , F. A. Brito , E. Maciel , A. Mohammadi , E. Passos , W. O. Santos , J. R. L. Santos

In this work, we analyze a gravity model with higher derivatives including a CPT-even Lorentz-violating term. In principle, the model could be a low-energy limit of a Lorentz-invariant theory presenting the violation of Lorentz symmetry as…

High Energy Physics - Theory · Physics 2014-09-22 C. Hernaski , H. Belich

This article aims to study the Lorentz/U(1) gauge symmetry-breaking electrodynamics in the framework of the Standard-Model Extension and analyze the Hamiltonian structure for the theory with a specific dimension $d\leq 4$ of Lorentz…

High Energy Physics - Theory · Physics 2024-04-11 Xiu-Peng Yang , Bao-Fei Li , Tao Zhu

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

For the system of Maxwell equations of electromagnetism in an $l$-periodic composite medium of overall size $L$ ($0<l<L<\infty$), in the low-frequency quasistatic approximation, we develop an electromagnetic version of strain-gradient…

Mathematical Physics · Physics 2015-11-19 Kirill D. Cherednichenko , James A. Evans

Motivated by obtaining a consistent mathematical description for the radiation reaction of point charged particles in linear classical electrodynamics, a theory of generalized higher order tensors and differential forms is introduced. The…

Differential Geometry · Mathematics 2013-09-20 Ricardo Gallego Torromé

We investigate higher-derivative extensions of Einstein-Maxwell theory that are invariant under electromagnetic duality rotations, allowing for non-minimal couplings between gravity and the gauge field. Working in a derivative expansion of…

High Energy Physics - Theory · Physics 2021-09-01 Pablo A. Cano , Ángel Murcia

Remnant low-energy effects of Planck-scale Lorentz breaking in candidate fundamental theories typically include modified one-particle dispersion relations. Theoretical constraints on such modifications are discussed leading to the exclusion…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Lehnert

Lorentz invariance is a cornerstone of modern physics, yet its possible violation remains both theoretically intriguing and experimentally significant. In this work, using quantum electrodynamics as an example, we explore how Lorentz…

High Energy Physics - Phenomenology · Physics 2026-01-21 Zurab Kepuladze