Chern--Simons theory on \(\mathbb R^3\) in axial gauge: a rigorous approach
type: Item
instance of: scholarly article
title: Chern--Simons theory on \(\mathbb R^3\) in axial gauge: a rigorous approach
zbMATH Open document ID: 1059.81123
author: Atle Hahn
published in: Journal of Functional Analysis
publication date: 2004-10-01T00:00:00Z
review text: The author studies pure Chern-Simons models on \({\mathbb R}^3\) using a functional integral quantization approach based on axial gauge fixing. Wilson loop observables are obtained heuristically by integrating certain quantities against a Gaussian-type functional measure. A rigorous meaning of these heuristic integrals is proposed. Detailed calculations are made for the simplest case where the group of the model is \(U(1)\).
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 81S25
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 58J28
zbMATH DE Number: 2105592
zbMATH Keywords: gauge field theory
zbMATH Keywords: Chern-Simons theory
zbMATH Keywords: axial gauge
zbMATH Keywords: white noise analysis
zbMATH Keywords: framing
zbMATH Keywords: Wilson loop observables
zbMATH Keywords: link invariants
reviewed by: Chandra Shekhar Sharma
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.01.006
OpenAlex ID: W1994403457
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DOI: 10.1016/J.JFA.2004.01.006
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description: scientific article; zbMATH DE number 2105592