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arxiv: hep-lat/0401008 · v1 · submitted 2004-01-05 · ✦ hep-lat

Induced representations of Poincare group on the lattice: spin 1/2 and 1 case

classification ✦ hep-lat
keywords constructiondiscretegrouplatticepoincareassimptoticcasecondition
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Following standard methods we explore the construction of the discrete Poincare 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 assimptotic limit are discussed.

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