Born–Infeld electrodynamics in very special relativity

In this work we discuss the properties of a modified Born–Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for tw...

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Main Author: R. Bufalo
Format: Article
Language:English
Published: Elsevier 2015-06-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315003512
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author R. Bufalo
author_facet R. Bufalo
author_sort R. Bufalo
collection DOAJ
description In this work we discuss the properties of a modified Born–Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a massive particle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range 1/L3 correction to the Coulomb potential, in contrast to the 1/L5 correction of the usual Born–Infeld theory.
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spelling doaj.art-2d88833235c7425e969f8cb0df30d5132022-12-22T03:09:39ZengElsevierPhysics Letters B0370-26932015-06-01746251256Born–Infeld electrodynamics in very special relativityR. Bufalo0Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland; Instituto de Física Teórica (IFT), Universidade Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II Barra Funda, CEP 01140-070 São Paulo, SP, Brazil; Correspondence to: Department of Physics, University of Helsinki, P.O. Box 64, FI-00014 Helsinki, Finland.In this work we discuss the properties of a modified Born–Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a massive particle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range 1/L3 correction to the Coulomb potential, in contrast to the 1/L5 correction of the usual Born–Infeld theory.http://www.sciencedirect.com/science/article/pii/S0370269315003512
spellingShingle R. Bufalo
Born–Infeld electrodynamics in very special relativity
Physics Letters B
title Born–Infeld electrodynamics in very special relativity
title_full Born–Infeld electrodynamics in very special relativity
title_fullStr Born–Infeld electrodynamics in very special relativity
title_full_unstemmed Born–Infeld electrodynamics in very special relativity
title_short Born–Infeld electrodynamics in very special relativity
title_sort born infeld electrodynamics in very special relativity
url http://www.sciencedirect.com/science/article/pii/S0370269315003512
work_keys_str_mv AT rbufalo borninfeldelectrodynamicsinveryspecialrelativity