A RIGOROUS CONSTRUCTION OF ABELIAN CHERN-SIMONS PATH INTEGRALS USING WHITE NOISE ANALYSIS

DOI10.1142/S0129055X96000147zbMath0862.46048OpenAlexW2066149430MaRDI QIDQ4890811

Peter Leukert, Jörg Schäfer

Publication date: 25 May 1997

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

Full work available at URL: https://doi.org/10.1142/s0129055x96000147

zbMATH Keywords

white noise analysisexpectationtopological invariantFeynman path integralsabelian Chern-Simons theorypairwise linking numbers

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Applications of functional analysis in quantum physics (46N50)

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HIDA DISTRIBUTIONS ON COMPACT LIE GROUPS ⋮ Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Chern--Simons theory on \(\mathbb R^3\) in axial gauge: a rigorous approach ⋮ KNOTS, FEYNMAN DIAGRAMS AND MATRIX MODELS ⋮ Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio ⋮ Path-integral invariants in abelian Chern-Simons theory ⋮ The chern-simons functional integral as an infinite-dimensional distribution ⋮ Mathematical theory of Feynman path integrals ⋮ CHERN–SIMONS THEORY, HIDA DISTRIBUTIONS, AND STATE MODELS ⋮ 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 ⋮ AN ANALYTIC APPROACH TO TURAEV'S SHADOW INVARIANT ⋮ A unified approach to infinite-dimensional integration ⋮ THEORY OF DISTRIBUTION IN THE SENSE OF CONNES–HIDA AND FEYNMAN PATH INTEGRAL ON A MANIFOLD

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