Asymptotic expansion of the one-loop approximation of the Chern-Simons integral in an abstract Wiener space setting

DOI10.1016/j.jfa.2007.09.006zbMath1145.46045arXiv0707.0047OpenAlexW2962951577MaRDI QIDQ2466529

Seiki Nishikawa, Itaru Mitoma

Publication date: 15 January 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.0047

zbMATH Keywords

abstract Wiener spaceChern-Simons integralstochastic Wilson line

Mathematics Subject Classification ID

Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items (1)

Asymptotic expansion of perturbative Chern-Simons theory via Wiener space

Cites Work

• Quantum field theory and the Jones polynomial
• Perturbative expansion of Chern-Simons theory with non-compact Gauge group
• Gaussian measures in Banach spaces
• A mathematical construction of the non-Abelian Chern-Simons functional integral
• Iterated path integrals
• Abelian Chern–Simons theory and linking numbers via oscillatory integrals
• One loop approximation of the Chern-Simons integral
• Analytic functions, Cauchy formula, and stationary phase on a real abstract Wiener space
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