The Stückelberg–Kibble model as an example of quantized symplectic reduction

DOI10.1063/1.531538zbMath0909.46067arXivhep-th/9508134OpenAlexW3101433400MaRDI QIDQ5284238

Urs Achim Wiedemann, Nicolaas P. Landsman

Publication date: 8 April 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9508134

zbMATH Keywords

Bogoliubov transformationRieffel inductionquantization theorylongitudinal one-particle componentmassive representation of the Poincaré groupStückelberg-Kibble model

Mathematics Subject Classification ID

Model quantum field theories (81T10) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Geometry and quantization, symplectic methods (81S10) Applications of functional analysis in quantum physics (46N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Geometric quantization (53D50)

Related Items (2)

Constrained quantization and \(\theta \)-angles ⋮ THE STUECKELBERG FIELD

Cites Work

• Strict deformation quantization of a particle in external gravitational and Yang-Mills fields
• Reduction of symplectic manifolds with symmetry
• Deformation quantization of Heisenberg manifolds
• Rieffel induction as generalized quantum Marsden-Weinstein reduction
• Induced representations of C\(^*\)-algebras
• A C*-algebra formulation of the quantization of the electromagnetic field
• MASSLESS PARTICLES, ELECTROMAGNETISM, AND RIEFFEL INDUCTION
• Space-Time Approach to Non-Relativistic Quantum Mechanics

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