World sheet of a massive spinning particle in d = 4 Minkowski space D. S. Kaparulin, S. L. Lyakhovich, I. A. Retuntsev
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ArticleSubject(s): Минковского пространство | Пуанкаре группыGenre/Form: статьи в журналах Online resources: Click here to access online
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Russian physics journal Vol. 61, № 12. P. 2145-2154Abstract: 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.
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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.
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