INTEGRALITY OF THE MONOPOLE NUMBER IN SU(2) YANG-MILLS HIGGS THEORY ON R**3
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Abstract: (Springer)
We prove that in classical SU(2) Yang-Mills-Higgs theories on ℝ3 with a Higgs field in the adjoint representation, an integer-valued monopole number (magnetic charge) is canonically defined for any finite-actionL1,loc2 configuration. In particular the result is true for smooth configurations. The monopole number is shown to decompose the configuration space into path components.- GAUGE FIELD THEORY: YANG-MILLS
- MODEL: HIGGS
- SYMMETRY: SU(2)
- GAUGE FIELD THEORY: FIBRE BUNDLE
- BOUNDARY CONDITION
- CHARGE: TOPOLOGICAL
- FIELD EQUATIONS: MONOPOLE
- GAUGE FIELD THEORY: GEOMETRICAL
- FUNCTIONAL ANALYSIS: linear space
- MATHEMATICAL METHODS: DIFFERENTIAL GEOMETRY
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