CHERN–SIMONS THEORY, HIDA DISTRIBUTIONS, AND STATE MODELS

DOI10.1142/S0219025703001237zbMath1069.81566OpenAlexW2045106778MaRDI QIDQ4661843

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Publication date: 30 March 2005

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025703001237

zbMATH Keywords

link invariantsaxial gaugeWilson loop observablesstate modelsGauge field theoryChern--Simons theory

Mathematics Subject Classification ID

Model quantum field theories (81T10) Yang-Mills and other gauge theories in quantum field theory (81T13) Topological field theories in quantum mechanics (81T45) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Along Paths Inspired by Ludwig Streit: Stochastic Equations for Quantum Fields and Related Systems ⋮ Mathematical Aspects of Feynman Path Integrals, Divergences, Quantum Fields and Diagrams, and Some More General Reflections ⋮ Energy forms and quantum dynamics ⋮ Gauge theories in low dimensions: reminiscences of work with Sergio Albeverio ⋮ ON THE FEYNMAN PATH INTEGRAL FOR NONRELATIVISTIC QUANTUM ELECTRODYNAMICS

Cites Work

• On knot invariants related to some statistical mechanical models
• Two dimensional Yang-Mills theory via stochastic differential equations
• The Yang-Baxter equation and invariants of links
• Quantum field theory and the Jones polynomial
• A mathematical construction of the non-Abelian Chern-Simons functional integral
• Quantum gauge theory on compact surfaces
• YM\(_ 2\): Continuum expectations, lattice convergence, and lassos
• Generalized functionals in Gaussian spaces: The characterization theorem revisited
• The Chern-Simons theory and knot polynomials
• Characteristic forms and geometric invariants
• Invariants of 3-manifolds via link polynomials and quantum groups
• A new polynomial invariant of knots and links
• The chern-simons functional integral as an infinite-dimensional distribution
• Construction et étude à l'échelle microscopique de la mesure de Yang–Mills sur les surfaces compactes
• Oscillatory integrals on Hilbert spaces and Schrödinger equation with magnetic fields
• PERTURBATIVE CHERN-SIMONS THEORY
• A RIGOROUS CONSTRUCTION OF ABELIAN CHERN-SIMONS PATH INTEGRALS USING WHITE NOISE ANALYSIS
• One loop approximation of the Chern-Simons integral

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