Chern-Simons path integral on \(\mathbb R^3\) using abstract Wiener measure
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Publication:627355
zbMath1208.81133MaRDI QIDQ627355
Publication date: 1 March 2011
Published in: Communications in Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.cma/1298669952
White noise theory (60H40) Yang-Mills and other gauge theories in quantum field theory (81T13) Path integrals in quantum mechanics (81S40) Constructive quantum field theory (81T08) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)
Related Items (3)
Invariants in quantum geometry ⋮ Area operator in loop quantum gravity ⋮ Loop representation of quantum gravity
Cites Work
- 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
- Quantum field theory and the Jones polynomial
- Gaussian measures in Banach spaces
- A mathematical construction of the non-Abelian Chern-Simons functional integral
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