The Stuckelberg-Kibble model as an example of quantized symplectic reduction

Wiedemann, U. A. and Landsman, N. P. (1996) The Stuckelberg-Kibble model as an example of quantized symplectic reduction. JOURNAL OF MATHEMATICAL PHYSICS, 37 (6). pp. 2731-2747. ISSN 0022-2488, 1089-7658

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Abstract

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 Stuckelberg-Kibble model. We explicitly construct the physical state space H-phys, which carries a massive representation of the Poincare 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. (C) 1996 American Institute of Physics.

Item Type: Article
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Jul 2023 04:56
Last Modified: 06 Jul 2023 04:56
URI: https://pred.uni-regensburg.de/id/eprint/51677

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