On free Lie algebras and particles in electro-magnetic fields

On free Lie algebras and particles in electro-magnetic fields

Abstract The Poincaré algebra can be extended (non-centrally) to the Maxwell algebra and beyond. These extensions are relevant for describing particle dynamics in electromagnetic backgrounds and possibly including the backreaction due the presence of multipoles. We point out a relation of this const...

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Bibliographic Details
Main Authors: Joaquim Gomis, Axel Kleinschmidt
Format: Article
Language:English
Published: SpringerOpen 2017-07-01
Series:Journal of High Energy Physics
Subjects:
Global Symmetries
Space-Time Symmetries
Sigma Models
Online Access:http://link.springer.com/article/10.1007/JHEP07(2017)085
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spelling doaj-476ef57ce51245fca089c24aa30370e42020-11-24T21:39:01ZengSpringerOpenJournal of High Energy Physics1029-84792017-07-012017712910.1007/JHEP07(2017)085On free Lie algebras and particles in electro-magnetic fieldsJoaquim Gomis0Axel Kleinschmidt1Departament de Fısica Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de BarcelonaMax-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)Abstract The Poincaré algebra can be extended (non-centrally) to the Maxwell algebra and beyond. These extensions are relevant for describing particle dynamics in electromagnetic backgrounds and possibly including the backreaction due the presence of multipoles. We point out a relation of this construction to free Lie algebras that gives a unified description of all possible kinematic extensions, leading to a symmetry algebra that we call Maxwell∞. A specific dynamical system with this infinite symmetry is constructed and analysed.http://link.springer.com/article/10.1007/JHEP07(2017)085Global SymmetriesSpace-Time SymmetriesSigma Models
collection DOAJ
language English
format Article
sources DOAJ
author Joaquim Gomis
Axel Kleinschmidt
spellingShingle Joaquim Gomis
Axel Kleinschmidt
On free Lie algebras and particles in electro-magnetic fields
Journal of High Energy Physics
Global Symmetries
Space-Time Symmetries
Sigma Models
author_facet Joaquim Gomis
Axel Kleinschmidt
author_sort Joaquim Gomis
title On free Lie algebras and particles in electro-magnetic fields
title_short On free Lie algebras and particles in electro-magnetic fields
title_full On free Lie algebras and particles in electro-magnetic fields
title_fullStr On free Lie algebras and particles in electro-magnetic fields
title_full_unstemmed On free Lie algebras and particles in electro-magnetic fields
title_sort on free lie algebras and particles in electro-magnetic fields
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2017-07-01
description Abstract The Poincaré algebra can be extended (non-centrally) to the Maxwell algebra and beyond. These extensions are relevant for describing particle dynamics in electromagnetic backgrounds and possibly including the backreaction due the presence of multipoles. We point out a relation of this construction to free Lie algebras that gives a unified description of all possible kinematic extensions, leading to a symmetry algebra that we call Maxwell∞. A specific dynamical system with this infinite symmetry is constructed and analysed.
topic Global Symmetries
Space-Time Symmetries
Sigma Models
url http://link.springer.com/article/10.1007/JHEP07(2017)085
work_keys_str_mv AT joaquimgomis onfreeliealgebrasandparticlesinelectromagneticfields
AT axelkleinschmidt onfreeliealgebrasandparticlesinelectromagneticfields
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