ON THE STRUCTURE OF THE SPACE OF GENERALIZED CONNECTIONS

DOI10.1142/S0219887804000198zbMath1070.53005arXivmath-ph/0402060OpenAlexW1967005995WikidataQ62501429 ScholiaQ62501429MaRDI QIDQ4669712

José M. Velhinho

Publication date: 15 April 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0402060

zbMATH Keywords

loop quantum gravityprojective techniquesgeneralized connectionsholonomy variables

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Spaces of embeddings and immersions (58D10) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Connections (general theory) (53C05) Linear and affine connections (53B05)

Related Items (3)

A quantum kinematics for asymptotically flat gravity ⋮ Uniqueness of diffeomorphism invariant states on holonomy-flux algebras ⋮ FUNCTORIAL ASPECTS OF THE SPACE OF GENERALIZED CONNECTIONS

Cites Work

• Diffeomorphism-invariant spin network states
• Generalized measures in gauge theory
• Functional integration on spaces of connections
• A groupoid approach to spaces of generalized connections
• Combinatorial space from loop quantum gravity
• Hyphs and the Ashtekar-Lewandowski measure
• Spin networks in gauge theory
• On the support of the Ashtekar-Lewandowski measure
• Differential geometry on the space of connections via graphs and projective limits
• Representations of the holonomy algebras of gravity and nonAbelian gauge theories
• The inverse loop transform
• Quantum theory of geometry: III. Non-commutativity of Riemannian structures
• Diffeomorphism-invariant quantum field theories of connections in terms of webs
• Physical properties of quantum field theory measures
• Background independent quantum gravity: a status report
• Separable Hilbert space in loop quantum gravity
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Projective techniques and functional integration for gauge theories
• Quantum spin dynamics (QSD): III. Quantum constraint algebra and physical scalar product in quantum general relativity
• Modern Canonical Quantum General Relativity

This page was built for publication: ON THE STRUCTURE OF THE SPACE OF GENERALIZED CONNECTIONS