The Yang-Mills measure for \(S^ 2\) (Q1803314)
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scientific article; zbMATH DE number 220662
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Yang-Mills measure for \(S^ 2\) |
scientific article; zbMATH DE number 220662 |
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The Yang-Mills measure for \(S^ 2\) (English)
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29 June 1993
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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.
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conditioned white-noise process
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stochastic differential equations
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Wilson loop configurations
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area-preserving diffeomorphisms
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