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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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 3–10, December, 2018.
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Kaparulin, D.S., Lyakhovich, S.L. & Retuntsev, I.A. World Sheet of a Massive Spinning Particle in d = 4 Minkowski Space. Russ Phys J 61, 2145–2154 (2019). https://doi.org/10.1007/s11182-019-01650-x
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DOI: https://doi.org/10.1007/s11182-019-01650-x