Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-08-25
J.Math.Phys. 37 (1996) 2731-2747
Physics
High Energy Physics
High Energy Physics - Theory
27 pages Latex
Scientific paper
10.1063/1.531538
Recently, it has been observed that a certain class of classical theories with constraints can be quantized by a mathematical procedure known as Rieffel induction. After a short exposition of this idea, we apply the new quantization theory to the Stueckelberg-Kibble model. We explicitly construct the physical state space ${\cal H}_{phys}$, which carries a massive representation of the Poincar\'e group. The longitudinal one-particle component arises from a particular Bogoliubov transformation of the five (unphysical) degrees of freedom one has started with. Our discussion exhibits the particular features of the proposed constrained quantization theory in great clarity.
Landsman Nicolaas P.
Wiedemann Urs Achim
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