A Lagrangian formulation of the classical and quantum dynamics of spinning particles

L. Brink; P. Vecchia; P. Howe

DOI:10.1016/0550-3213(77)90364-9

Corpus ID: 119480023

A Lagrangian formulation of the classical and quantum dynamics of spinning particles

@article{Brink1977ALF,
  title={A Lagrangian formulation of the classical and quantum dynamics of spinning particles},
  author={L. Brink and P. Vecchia and P. Howe},
  journal={Nuclear Physics},
  year={1977},
  volume={118},
  pages={76-94}
}

L. Brink, P. Vecchia, P. Howe

Published 1977

Physics

Nuclear Physics

Abstract A spinning particle is described in terms of its position φ μ ( τ ) and of an additional spin degree of freedom ψ μ ( τ ) which is an odd element of a Grassmann algebra. Its motion is described by an action which is invariant under both general reparametrizations and local supergauge transformations. For a particular realization of the canonical commutation relations we obtain a first quantized version of the Dirac equation in an analogous fashion to the way that the Klein-Gordon… CONTINUE READING

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