Regular connections among generalized connections

DOI10.1016/S0393-0440(02)00232-2zbMath1029.81069arXivmath-ph/0211060OpenAlexW3105985297MaRDI QIDQ1406477

Christian Fleischhack

Publication date: 4 September 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0211060

zbMATH Keywords

Ashtekar connectionsGauge orbitsGeneralized connectionsSmooth connections

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Connections (general theory) (53C05)

Related Items (5)

Loop quantization and symmetry: configuration spaces ⋮ Thin homotopy and the holonomy approach to gauge theories ⋮ Representations of the Weyl algebra in quantum geometry ⋮ Kinematical Foundations of Loop Quantum Cosmology ⋮ On the spectrum of holonomy algebras

Cites Work

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• Comment on a paper of Ashtekar and Isham
• Representations of the holonomy algebras of gravity and nonAbelian gauge theories
• Diffeomorphism-invariant quantum field theories of connections in terms of webs
• Physical properties of quantum field theory measures
• Projective techniques and functional integration for gauge theories
• Stratification of the generalized gauge orbit space

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