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<p>The paper proposes a&#xa0;geometrical model of classsical spinning particle, whose quantization corresponds to the unitary irreducible continuous helicity representation of the Poincaré group. It is shown that the class of gauge-equivalent trajectories of the particle forms a&#xa0;cylindrical surface in 4D Minkowski space. This fact allows deriving equations of motion for time-like particle trajectories.</p>

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World sheet of continuous helicity spinning particle in 4D Minkowski space

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • S. L. Lyakhovich,
  • I. A. Retuntsev

摘要

The paper proposes a geometrical model of classsical spinning particle, whose quantization corresponds to the unitary irreducible continuous helicity representation of the Poincaré group. It is shown that the class of gauge-equivalent trajectories of the particle forms a cylindrical surface in 4D Minkowski space. This fact allows deriving equations of motion for time-like particle trajectories.