Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-02-22
Phys.Lett.B650:203-207,2007
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 13 pages. V2: Section 4 shortened. The version in print in Physics Letters B
Scientific paper
10.1016/j.physletb.2007.04.058
We 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, \theta and \theta'. 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.
Lukierski Jerzy
Stichel Peter C.
Zakrzewski Wojtek J.
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