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

Physics – High Energy Physics – High Energy Physics - Lattice

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Proceedings: B. Gruber, M. Ramek eds. Symmetries in Science X (Plenum, N.Y. 1998) pp. 179-196. LaTeX, 16 pages, 1 eps figure (

Scientific paper

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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