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Induced Representation of the Poincaré Group on the Lattice: Spin 1/2 and 1 Case

In: Symmetries in Science X

Author

Listed:
  • Miguel Lorente

    (Universidad de Oviedo, Departamento de Física
    Universität Tübingen, Institut für Theoretische Physik)

  • Peter Kramer

    (Universität Tübingen, Institut für Theoretische Physik)

Abstract

Following standard methods we explore the representation of the discrete Poincaré group, the semidirect product of discrete translations and integral Lorentz transformations, using the Wigner-Mackey construction restricted to the momentum and position space on the lattice. The orbit condition, irreducibility and asymptotic limit are discussed.

Suggested Citation

  • Miguel Lorente & Peter Kramer, 1998. "Induced Representation of the Poincaré Group on the Lattice: Spin 1/2 and 1 Case," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 179-195, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_11
    DOI: 10.1007/978-1-4899-1537-5_11
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