The E(2) Particle

Details The E(2) Particle The E(2) Particle

2009-06-11

arxiv.org/abs/0906.2072v2

Phys.Rev.D80:125021,2009

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 15 pages, revised version, references added, to appear in Phys.Rev.D

Scientific paper

10.1103/PhysRevD.80.125021

Recently it has been advocated [1] that for describing nature within the minimal symmetry requirement, certain subgroups of Lorentz group may play a fundamental role. One such group is E(2) which induces a Lie algebraic Non-Commutative spacetime [4] where translation invariance is not fully maintained. We have constructed a consistent structure of Non-commutative phase space for this system and furthermore we have studied an appropriate point particle action on it. Interestingly, the Einstein dispersion relation $p^2=m^2$ remains intact. The model is constructed by exploiting a dual canonical phase space following the scheme developed by us earlier [8].

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