From the Euclidean group to the Poincaré group via Osterwalder-Schrader positivity
- Cite this article as:
- Klein, A. & Landau, L.J. Commun.Math. Phys. (1983) 87: 469. doi:10.1007/BF01208260
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Given a continuous representation of the Euclidean group inn+1 dimensions, together with a covariant system of subspaces, which satisfies Osterwalder-Schrader positivity, we construct a continuous unitary representation of the orthochronous Poincaré group inn+1 dimensions satisfying the spectral condition. A similar result holds for the covering groups of the Euclidean and Poincaré group.