Spin statistics, and geometry of random walks

  title={Spin statistics, and geometry of random walks},
  author={T. Jaroszewicz and P. S. Kurzepa},
  journal={Annals of Physics},
  • T. Jaroszewicz, P. S. Kurzepa
  • Published 1991
  • Physics
  • Annals of Physics
  • We develop and unify two complementary descriptions of propagation of spinning particles: the directed random walk representation and the “spin factor” approach. Working in an arbitrary number of dimensions D, we first represent the Dirac propagator in terms of a directed random walk. We then derive the general and explicit form of the gauge connection describing parallel transport of spin and investigate the resulting quantum-mechanical problem of a particle moving on a sphere in the field of… CONTINUE READING
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