The Yang-Mills measure for \(S^ 2\)
type: Item
instance of: scholarly article
title: The Yang-Mills measure for \(S^ 2\)
zbMATH Open document ID: 0769.60009
DOI: 10.1016/0022-1236(92)90025-E
author: Ambar N. Sengupta
published in: Journal of Functional Analysis
publication date: 1993-06-29T00:00:00Z
review text: Using a conditioned white-noise process, the author constructs the Yang- Mills measure over \(S^ 2\) and studies the parallel translation under this measure by using stochastic differential equations. Expectation values of a broad class of Wilson loop configurations are determined explicitly, and their invariance under area-preserving diffeomorphisms of the sphere is shown.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 28C10
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34F05
zbMATH DE Number: 220662
zbMATH Keywords: conditioned white-noise process
zbMATH Keywords: stochastic differential equations
zbMATH Keywords: Wilson loop configurations
zbMATH Keywords: area-preserving diffeomorphisms
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 220662