Group quantization on configuration space: Gauge symmetries and linear fields

DOI10.1063/1.531815zbMath0872.58075arXivhep-th/9612068OpenAlexW3105623985MaRDI QIDQ4339567

Manuel Calixto, Miguel Ángel Navarro, Victor Aldaya

Publication date: 10 June 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9612068

zbMATH Keywords

configuration spacegauge symmetrygroup quantizationlinear fields

Mathematics Subject Classification ID

Unified quantum theories (81V22) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Geometry and quantization, symplectic methods (81S10)

Related Items

QUANTUM FIELD THEORY IN A SYMMETRIC CURVED SPACE FROM A SECOND QUANTIZATION ON A GROUP, SYMMETRIES OF NON-LINEAR SYSTEMS: GROUP APPROACH TO THEIR QUANTIZATION, GENERALIZED CONFORMAL SYMMETRY AND EXTENDED OBJECTS FROM THE FREE PARTICLE, Modular invariance on the torus and Abelian Chern–Simons theory, Algebraic characterization of constraints and generation of mass in gauge theories, Relativistic field equations from higher-order polarizations of the Poincaré group, GAUGE TRANSFORMATION PROPERTIES OF VECTOR AND TENSOR POTENTIALS REVISITED: A GROUP QUANTIZATION APPROACH

Cites Work

• Abelian Chern-Simons theories in \(2+1\) dimensions
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• Algebraic quantization, good operators and fractional quantum numbers
• Quantization as a consequence of the symmetry group: An approach to geometric quantization
• Symmetry and quantization: Higher-order polarization and anomalies
• Group manifold approach to field quantisation
• Group quantization on configuration space