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We investigate the Pleba\'nski class of electrodynamical theories, i.e., theories of nonlinear vacuum electrodynamics that derive from a Lorentz-invariant Lagrangian (or Hamiltonian). In any such theory the light rays are the lightlike…

General Relativity and Quantum Cosmology · Physics 2016-11-03 Gerold O. Schellstede , Volker Perlick , Claus Lämmerzahl

All solutions of the no-birefringence conditions for nonlinear electrodynamics are found. In addition to the known Born-Infeld and Plebanski cases, we find a ``reverse Born-Infeld'' case, which has a limit to Plebanski, and an…

High Energy Physics - Theory · Physics 2023-02-01 Jorge G. Russo , Paul K. Townsend

This paper summarizes the motivations and results obtained so far in the frame of a particular non-linearization of Classical Electrodynamics, which was called Extended Electrodynamics. The main purpose pursued with this non-linear…

patt-sol · Physics 2007-05-23 Stoil Donev

Magnetized neutron stars constitute a special class of compact objects harbouring gravitational fields that deviate strongly from the Newtonian weak field limit. Moreover strong electromagnetic fields anchored into the star give rise to…

High Energy Astrophysical Phenomena · Physics 2015-05-22 J. Pétri

Recent ultra-intense lasers of subcritical fields and proposed observations of the x-rays polarization from highly magnetized neutron stars of supercritical fields have attracted attention to vacuum birefringence, a unique feature of…

High Energy Astrophysical Phenomena · Physics 2025-04-08 Chul Min Kim , Sang Pyo Kim

In nonlinear electrodynamics, by implementing the causality principle as the requirement that the group velocity of elementary excitations over a background field should not exceed the speed of light in the vacuum and the unitarity…

High Energy Physics - Theory · Physics 2011-05-13 Anatoly E. Shabad , Vladimir V. Usov

We discuss the theoretical foundations for testing non-linear vacuum electrodynamics with Michelson interferometry. Apart from some non-degeneracy conditions to be imposed, our discussion applies to all non-linear electrodynamical theories…

General Relativity and Quantum Cosmology · Physics 2015-10-23 Gerold O. Schellstede , Volker Perlick , Claus Lämmerzahl

We construct a Lagrangian for general nonlinear electrodynamics that features electric and magnetic potentials on equal footing. In the language of this Lagrangian, discrete and continuous electric-magnetic duality symmetries can be…

High Energy Physics - Theory · Physics 2022-01-06 Zhirayr Avetisyan , Oleg Evnin , Karapet Mkrtchyan

Nonlinear electrodynamics has been an important area of research for a long time. Investigations based on nonlinear Lagrangians, such as Euler-Heisenberg and Born-Infeld, are instrumental in exploring the limits of classical and quantum…

General Physics · Physics 2025-04-01 T. W. Cruz , V. A. De Lorenci , E. Guzmán-Herrera , C. C. H. Ribeiro

We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are…

High Energy Physics - Theory · Physics 2009-10-31 Machiko Hatsuda , Kiyoshi Kamimura , Sayaka Sekiya

Working on the approximation of low frequency, we present the light cone conditions for a class of theories constructed with the two gauge invariants of the Maxwell field without making use of average over polarization states. Different…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. A. De Lorenci , R. Klippert , M. Novello , J. M. Salim

The creation of large scale magnetic fields is studied in an inflationary universe where electrodynamics is assumed to be nonlinear. After inflation ends electrodynamics becomes linear and thus the description of reheating and the…

Astrophysics · Physics 2008-11-26 Kerstin E. Kunze

In our previous article Phys. Rev. Lett. 127 (2021) 271601, we announced a novel 'democratic' Lagrangian formulation of general nonlinear electrodynamics in four dimensions that features electric and magnetic potentials on equal footing.…

High Energy Physics - Theory · Physics 2022-08-11 Zhirayr Avetisyan , Oleg Evnin , Karapet Mkrtchyan

We scrutinize the geometrical properties of light propagation inside a nonlinear medium modeled by a fully covariant electromagnetic theory in $2+1$-dimensions. After setting the nonlinear constitutive relations, the phase velocity and the…

Optics · Physics 2026-02-26 Eduardo Bittencourt , Elliton O. S. Brandão , Érico Goulart

In the first part of this paper we review several formalisms which give alternative ways for describing the light. They are: the formalism `baroque' and the Majorana-Oppenheimer form of electrodynamics, the Sachs' theory of Elementary…

High Energy Physics - Theory · Physics 2007-05-23 Valeri V. Dvoeglazov

This paper investigates the dynamics of cosmological models incorporating nonlinear electrodynamics (NLED), focusing on their stability and causality. We explore two specific NLED models: the Power-Law and Rational Lagrangians. We assess…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-05 Ricardo García-Salcedo , Isidro Gómez-Vargas , Tame González , Vicent Martinez-Badenes , Israel Quiros

We study physical aspects for a new nonlinear electrodynamics (inverse electrodynamics). It is shown that this new electrodynamics displays the vacuum birefringence phenomenon in the presence of external magnetic field, hence we compute the…

High Energy Physics - Phenomenology · Physics 2021-10-27 Patricio Gaete , José A. Helayël-Neto

We present a method that yields three decoupled covariant equations for three complex scalars, which completely govern electromagnetic perturbations of non-vacuum, locally rotationally symmetric class II spacetimes. One of these equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Raymond Burston , Anthony Lun

We propose and study the properties of a non-linear electrodynamics that emerges inspired on the physics of Dirac materials. This new electrodynamic model is an extension of the one-loop corrected non-linear effective Lagrangian computed in…

Materials Science · Physics 2023-09-29 M. J. Neves , Patricio Gaete , L. P. R. Ospedal , J. A. Helayël-Neto

Given the anomalous magnetic moments of electrons and positrons in the one-loop approximation, we calculate the exact Lagrangian of an intense constant magnetic field that replaces the Heisenberg-Euler Lagrangian in traditional quantum…

High Energy Physics - Theory · Physics 2009-11-10 V. N. Rodionov
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