Abstract
In this work the SU(2) Yang-Mills equations are studied in compactified Minkowski space. The manifold is identified with that of the Lie group U(1)×SU(2) and a classification is made of all SU(2) principal bundles over this base space in terms of homotopy classes of mappings f:S 3→S3. Invariance of gauge fields under transformation groups is defined in terms of bundle mappings and the case of invariance under SU(2) translations is shown to imply a trivial bundle structure. All solutions to the field equations invariant under U(1)×SU(2) translations are obtained as well as all (anti-) self-dual solutions invariant under SU(2) translations.
| Original language | English |
|---|---|
| Pages (from-to) | 931-942 |
| Number of pages | 12 |
| Journal | Journal of Mathematical Physics |
| Volume | 20 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1978 |
| Externally published | Yes |