On free Lie algebras and particles in electro-magnetic fields View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2017-07

AUTHORS

Joaquim Gomis, Axel Kleinschmidt

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. More... »

PAGES

85

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/jhep07(2017)085

DOI

http://dx.doi.org/10.1007/jhep07(2017)085

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44 schema:description 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.
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