Integrality of the monopole number in SU(2) Yang-Mills-Higgs theory on \({\mathbb{R}}^ 3\) (Q1058219)
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scientific article; zbMATH DE number 3899822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrality of the monopole number in SU(2) Yang-Mills-Higgs theory on \({\mathbb{R}}^ 3\) |
scientific article; zbMATH DE number 3899822 |
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Integrality of the monopole number in SU(2) Yang-Mills-Higgs theory on \({\mathbb{R}}^ 3\) (English)
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1984
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The author proves that in classical SU(2) Yang-Mills-Higgs theories on \(R^ 3\) with a Higgs field in the adjoint representation, an integer- valued monopole number (magnetic charge) is canonically defined for any finite-action \(L^ 2_{1,loc}\) configuration. In particular the result is true for smooth configurations. The monopole number is shown to decompose the configuration space into path components.
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Yang-Mills-Higgs theories
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magnetic charge
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monopole number
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0.9001563
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0.8927702
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0.89095336
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0.89013076
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0.8858078
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0.8837446
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0.88174176
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0.8815159
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0.88022846
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