Chern-Simons models on \(S^2\times S^1\), torus gauge fixing, and link invariants. I
type: Item
instance of: scholarly article
title: Chern-Simons models on \(S^2\times S^1\), torus gauge fixing, and link invariants. I
zbMATH Open document ID: 1097.53014
author: Atle Hahn
published in: Journal of Geometry and Physics
publication date: 2005-06-13T00:00:00Z
review text: The paper is devoted to studies of Abelian and non-Abelian Chern-Simons models on manifolds \(M\) of the form \(M=\Sigma\times S^1\), where \(\Sigma\) is a compact oriented surface. By applying the ``torus gauge fixing'' procedure of \textit{M. Blau} and \textit{G. Thompson} [Nucl. Phys. B 408, 345--390 (1993; Zbl 1043.58502), Lectures on 2D gauge theories: topological aspects and path integral techniques, E. Gava, et al. (eds.), Proceedings of the 1993 Trieste Summer School on High Energy Physics and Cosmology, World Scientific, Singapore, 175--244 (1994)] the author derives a heuristic integral formula for the corresponding Wilson loop observables. It is shown that in the case of \(\Sigma = S^2\) and structure group \(U(1)\) this formula gives a rigorous path integral representation for the Wilson loop observables in terms of infinite-dimensional oscillatory integrals.
reviewed by: Tomasz Brzeziński
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 57M27
Mathematics Subject Classification ID: 58D20
Mathematics Subject Classification ID: 58J28
Mathematics Subject Classification ID: 81T45
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 2175219
zbMATH Keywords: gauge field theory
zbMATH Keywords: Chern-Simons theory
zbMATH Keywords: Wilson loop observables
zbMATH Keywords: link invariants
MaRDI profile type: Publication
full work available at URL: j.geomphys.2004.07.001
OpenAlex ID: W1631961406
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DOI: 10.1016/J.GEOMPHYS.2004.07.001
description: scientific article; zbMATH DE number 2175219