On the Ashtekar-Lewandowski measure as a restriction of the product one

DOI10.1063/1.4902931zbMath1305.81113arXiv1312.3603OpenAlexW1991866807MaRDI QIDQ2939223

T. Tlas

Publication date: 19 January 2015

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

Full work available at URL: https://arxiv.org/abs/1312.3603

zbMATH Keywords

semisimple Lie grouploop gravityspace of connectionsAshtekar-Lewandowski measureAshtekar formalismgroup-valued functions on loops

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10)

Related Items (3)

On the construction of Euclidean invariant and reflection positive measures on the cylindrical compactification of distributions ⋮ Thin homotopy and the holonomy approach to gauge theories ⋮ A construction of Euclidean invariant, reflection positive measures on a compactification of distributions

Cites Work

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• Topological quantum field theory
• Functional integration on spaces of connections
• Automatic Continuity of Group Homomorphisms
• Parallel transports in webs
• Diffeomorphism-invariant quantum field theories of connections in terms of webs
• Physical properties of quantum field theory measures
• On the holonomic equivalence of two curves

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