World Sheet of a Massive Spinning Particle in d = 4 Minkowski Space
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A geometrical model of a massive spinning particle, whose quantization corresponds to the unitary irreducible representation of the Poincaré group, is considered. It is shown that the class of gauge-equivalent trajectories of the particle forms a cylindrical surface in d = 4 Minkowski space. Basing ourselves on the fact that the trajectories of the particle are cylindrical lines, we have obtained the equations of motion of the particle on a world sheet along timelike and isotropic trajectories.
Keywordsspin spinning particle world sheet
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- 4.E. L. Starostin and van der G. H. M. Heijden, Monatsh. Math., 191, 481–491 (2013).Google Scholar