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In the context of Born-Infeld electrodynamics, the electromagnetic fields interact with each other via their non-linear couplings. A calculation will be performed where an incoming electromagnetic plane wave scatters off a Coulomb Field in…

High Energy Physics - Theory · Physics 2011-02-21 Daniel Tennant

We consider non-Lorentzian expansions, Galilean and Carrollian, of the Lorentz force equation in which both the particle position and the electro-magnetic field are expanded. There are two well-known limits in the case of a constant field,…

High Energy Physics - Theory · Physics 2023-10-25 José Luis V. Cerdeira , Joaquim Gomis , Axel Kleinschmidt

We investigate the properties of non-linear electromagnetism based on the Born-Infeld Lagrangian in multi-dimensional theories of Kaluza-Klein type. We consider flat space-time solutions only, which means that the space-time metric is…

High Energy Physics - Theory · Physics 2007-05-23 José P. S. Lemos , Richard Kerner

We construct the free Lagrangian of the magnetic sector of Carrollian electrodynamics. The construction relies on Helmholtz integrability condition for differential equations in a self consistent algorithm, working hand in hand with…

High Energy Physics - Theory · Physics 2021-05-12 Kinjal Banerjee , Rudranil Basu , Aditya Mehra , Akhila Mohan , Aditya Sharma

Born-Infeld nonlinear electrodynamics are considered. Main attention is given to existence of singular point at static field configuration that M.Born and L.Infeld are considered as a model of electron. It is shown that such singularities…

High Energy Physics - Theory · Physics 2011-07-19 Alexander A. Chernitskii

We expand bimetric theory of gravity in small speed of light limit. We find electric and magnetic Carrollian form of the action and discuss their properties.

General Relativity and Quantum Cosmology · Physics 2024-09-16 J. Kluson

Classical version of Born-Infeld electrodynamics is recalled and its most important properties discussed. Then we analyze possible abelian and non-abelian generalizations of this theory, and show how certain soliton-like configurations can…

High Energy Physics - Theory · Physics 2009-11-07 R. Kerner , A. L. Barbosa , D. V. Gal'tsov

A generalization of Born-Infeld non-linear vacuum electrodynamics involving axion and dilaton fields is constructed with couplings dictated by electromagnetic duality and SL(2,R) symmetries in the weak field limit. Besides the Newtonian…

High Energy Physics - Theory · Physics 2013-01-21 D. A. Burton , T. Dereli , R. W. Tucker

We argue that generic field theories defined on null manifolds should have an emergent BMS or conformal Carrollian structure. We then focus on a simple interacting conformal Carrollian theory, viz. Carrollian scalar electrodynamics. We look…

High Energy Physics - Theory · Physics 2020-03-18 Arjun Bagchi , Rudranil Basu , Aditya Mehra , Poulami Nandi

We propose a new model of nonlinear electrodynamics with three parameters. Born-Infeld electrodynamics and exponential electrodynamics are particular cases of this model. The phenomenon of vacuum birefringence is studied. We show that there…

General Physics · Physics 2017-11-13 S. I. Kruglov

We consider both generalized Born-Infeld and Exponential Electrodynamics. The field-energy of a point-like charge is finite only for Born-Infeld-like Electrodynamics. However, both Born-Infeld-type and Exponential Electrodynamics display…

High Energy Physics - Theory · Physics 2015-06-22 Patricio Gaete , José Helayël-Neto

The limits of linear electrodynamics are reviewed, and possible directions of nonlinear extension are explored. The central theme is that the qualitative character of the empirical successes of quantum electrodynamics must be used as a…

High Energy Physics - Theory · Physics 2007-05-23 David Delphenich

The approach to the dynamics of a charged particle in the Born-Infeld nonlinear electrodynamics developed in [Phys. Lett. A 240 (1998) 8] is generalized to include a Born-Infeld dyon. Both Hamiltonian and Lagrangian structures of many dyons…

High Energy Physics - Theory · Physics 2009-10-31 Dariusz Chruscinski , Hartmann Roemer

In this work, the hydrogen's ionization energy was used to constrain the free parameter $b$ of three Born-Infeld-like electrodynamics namely Born-Infeld itself, Logarithmic electrodynamics and Exponential electrodynamics. An analytical…

High Energy Physics - Phenomenology · Physics 2018-02-27 P. Niau Akmansoy , L. G. Medeiros

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

We explore the physical consequences of a new nonlinear electrodynamics, for which the electric field of a point-like charge is finite at the origin, as in the well-known Born-Infeld electrodynamics. However, contrary to the latter, in this…

General Physics · Physics 2018-01-17 Patricio Gaete , José A. Helayël-Neto

Two-dimensional Born-Infeld electrostatic fields behaving as the superposition of two point-like charges in the linearized (Maxwellian) limit are worked out by means of a non-holomorphic mapping of the complex plane. The changes underwent…

High Energy Physics - Theory · Physics 2008-11-26 Rafael Ferraro , Maria Evangelina Lipchak

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

Born-Infeld non-linear electrodynamics arises naturally as a field theory description of the dynamics of strings and branes. Most analyses of this theory have been limited to studying it as a classical field theory. We quantize this theory…

High Energy Physics - Lattice · Physics 2009-11-11 J. B. Kogut , D. K. Sinclair

We study non-linear electrodynamics in curved space from the viewpoint of dualities. After establishing the existence of a topological bound for self-dual configurations of Born-Infeld field in curved space, we check that the…

High Energy Physics - Theory · Physics 2009-10-31 Gary W. Gibbons , Koji Hashimoto
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