Zitterbewegung and reduction: 4D spinning particles and 3D anyons on light-like curves

Physics – High Energy Physics – High Energy Physics - Theory

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10 pages, discussion expanded and references added. To appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(99)00637-1

We construct the model with light-like world-lines for the massive 4D spinning particles and 3D anyons. It is obtained via the formal bosonization of pseudoclassical model for the massive Dirac particle with subsequent reduction to the light-like curves. The peculiarity of the light-like trajectories produced due to the Zitterbewegung is explained from the viewpoint of reduction and reparametrization invariance.

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