Induced representations of Poincare group on the lattice: spin 1/2 and 1 case
arXiv:hep-lat/0401008
Abstract
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.
Proceedings: B. Gruber, M. Ramek eds. Symmetries in Science X (Plenum, N.Y. 1998) pp. 179-196. LaTeX, 16 pages, 1 eps figure (late submission)