Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations

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dc.creatorLukierski, J.
dc.creatorStichel, P. C.
dc.creatorZakrzewski, W. J.
dc.date2007-02-22
dc.date2007-04-25
dc.date.accessioned2026-07-07T10:38:13Z
dc.date.available2026-07-07T10:38:13Z
dc.descriptionWe add to Galilean symmetries the transformations describing constant accelerations. The corresponding extended Galilean algebra allows, in any dimension $D=d+1$, the introduction of one central charge $c$ while in $D=2+1$ we can have three such charges: c, θand θ'. We present nonrelativistic classical mechanics models, with higher order time derivatives and show that they give dynamical realizations of our algebras. The presence of central charge $c$ requires the acceleration square Lagrangian term. We show that the general Lagrangian with three central charges can be reinterpreted as describing an exotic planar particle coupled to a dynamical electric and a constant magnetic field.
dc.descriptionLaTeX, 13 pages. V2: Section 4 shortened. The version in print in Physics Letters B
dc.identifierhttps://arxiv.org/abs/hep-th/0702179
dc.identifierhttp://arxiv.org/abs/hep-th/0702179
dc.identifierPhys.Lett.B650:203-207,2007
dc.identifierdoi:10.1016/j.physletb.2007.04.058
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/180645
dc.subjectHigh Energy Physics - Theory
dc.titleAcceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
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