Yang-Mills equations on the two-dimensional sphere (Q1070606)
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scientific article; zbMATH DE number 3938083
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Yang-Mills equations on the two-dimensional sphere |
scientific article; zbMATH DE number 3938083 |
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Yang-Mills equations on the two-dimensional sphere (English)
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1985
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A 1-1 correspondence between classes of Yang-Mills fields over \(S^ 2\) and conjugacy classes of closed geodesics of the structure group is established. It is shown that the critical point of the Yang-Mills functional is equal to the index of the corresponding critical point of the energy functional. This means that classes of Yang-Mills connections are isolated.
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Gauge theory
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Yang-Mills equations
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monopoles
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Yang-Mills fields
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