Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics

Details Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics

2006-02-15

arxiv.org/abs/hep-th/0602151v2

JHEP0605:077,2006

Physics

High Energy Physics

High Energy Physics - Theory

19 pages; Latex; title changed, 3 new references added and minor changes; to appear in JHEP

Scientific paper

10.1088/1126-6708/2006/05/077

We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder's algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder's algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided. Finally, an alternative form of an action yielding Snyder's algebra is discussed where the mass of a relativistic particle gets identified with the inverse of the noncommutativity parameter.

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