Abelian Chern–Simons theory and linking numbers via oscillatory integrals
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Publication:4871955
DOI10.1063/1.531036zbMath0869.46022OpenAlexW2035758042MaRDI QIDQ4871955
Jörg Schäfer, Sergio A. Albeverio
Publication date: 31 August 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531036
Fresnel integralpath integraltopological invariantinfinite-dimensional oscillatory integralsAbelian Chern-Simons theoryproducts of Willson loopsWillson loop variables
Path integrals in quantum mechanics (81S40) Measures and integration on abstract linear spaces (46G12)
Related Items (11)
Chern--Simons theory on \(\mathbb R^3\) in axial gauge: a rigorous approach ⋮ Non-abelian higher gauge theory and categorical bundle ⋮ Differential forms in lattice field theories: an overview ⋮ Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio ⋮ Asymptotic expansion of the one-loop approximation of the Chern-Simons integral in an abstract Wiener space setting ⋮ The chern-simons functional integral as an infinite-dimensional distribution ⋮ Mathematical theory of Feynman path integrals ⋮ Chern-Simons models on \(S^2\times S^1\), torus gauge fixing, and link invariants. I ⋮ The Wilson loop observables of Chern-Simons theory on \({\mathbb{R}}^3\) in axial gauge ⋮ Asymptotic expansion of perturbative Chern-Simons theory via Wiener space ⋮ Torsion structure in Riemann-Cartan manifold and dislocation
Cites Work
- Construction of convergent simplicial approximations of quantum fields on Riemannian manifolds
- Quantum field theory and the Jones polynomial
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- On products in a complex
- State sum invariants of compact 3-manifolds with boundary and 6j-symbols
- A CONSTRUCTIVE QUANTUM FIELD THEORETIC APPROACH TO CHERN-SIMONS THEORY
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