Asymptotic expansion of perturbative Chern-Simons theory via Wiener space

DOI10.1016/j.bulsci.2007.07.003zbMath1169.57030OpenAlexW2078029375MaRDI QIDQ1017651

Itaru Mitoma, Sergio A. Albeverio

Publication date: 12 May 2009

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2007.07.003

zbMATH Keywords

asymptotic expansionwhite noiseChern-Simons integrallinking numberGaussian measureMalliavin-Taniguchi formula

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Topological quantum field theories (aspects of differential topology) (57R56) Eta-invariants, Chern-Simons invariants (58J28)

Related Items

CHERN–SIMONS THEORY AND THE QUANTUM RACAH FORMULA, NON-ABELIAN GAUGE THEORY FOR CHERN–SIMONS PATH INTEGRAL ON R³, Catégorification et méthode, Chern-Simons path integral on \(\mathbb R^3\) using abstract Wiener measure, Infinite dimensional oscillatory integrals as projective systems of functionals, Mathematical theory of Feynman path integrals, A unified approach to infinite-dimensional integration

Cites Work

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• 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
• Some new developments in the theory of path integrals, with applications to quantum theory
• Quantum field theory and the Jones polynomial
• The partition function of a degenerate functional
• Non-abelian Stokes formula
• Perturbative expansion of Chern-Simons theory with non-compact Gauge group
• Gaussian measures in Banach spaces
• Chern-Simons perturbation theory. II
• Invariant Sobolev calculus on the free loop space
• A mathematical construction of the non-Abelian Chern-Simons functional integral
• Vassiliev knot invariants and Chern-Simons perturbation theory to all orders
• On the Vassiliev knot invariants
• The Chern-Simons theory and knot polynomials
• Asymptotic expansion of the one-loop approximation of the Chern-Simons integral in an abstract Wiener space setting
• CHEN INTEGRALS, GENERALIZED LOOPS AND LOOP CALCULUS
• Iterated path integrals
• On the self-linking of knots
• Abelian Chern–Simons theory and linking numbers via oscillatory integrals
• PERTURBATIVE CHERN-SIMONS THEORY
• A METHOD OF CONSTRUCTION OF MEASURES ON FUNCTION SPACES AND ITS APPLICATIONS TO STOCHASTIC PROCESSES
• Recent developments in Chern-Simons theory and link invariants
• One loop approximation of the Chern-Simons integral
• Analytic functions, Cauchy formula, and stationary phase on a real abstract Wiener space