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World Sheet of a Massive Spinning Particle in d = 4 Minkowski Space

  • D. S. KaparulinEmail author
  • S. L. Lyakhovich
  • I. A. Retuntsev
ELEMENTARY PARTICLE PHYSICS AND FIELD THEORY
  • 2 Downloads

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.

Keywords

spin spinning particle world sheet 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • D. S. Kaparulin
    • 1
    Email author
  • S. L. Lyakhovich
    • 1
  • I. A. Retuntsev
    • 1
  1. 1.National Research Tomsk State UniversityTomskRussia

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