Isolated Singularities of Yang–Mills–Higgs Fields on Surfaces
Keyword(s):
Abstract We study isolated singularities of 2D Yang–Mills–Higgs (YMH) fields defined on a fiber bundle, where the fiber space is a compact Riemannian manifold and the structure group is a compact connected Lie group. In general, the singularity cannot be removed due to possibly non-vanishing limit holonomy around the singular points. We establish a sharp asymptotic decay estimate of the YMH field near a singular point, where the decay rate is precisely determined by the limit holonomy. Our result can be viewed as a generalization of the classical removable singularity theorem of 2D harmonic maps.
1988 ◽
Vol 108
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pp. 189-200
1992 ◽
Vol 26
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pp. 125-131
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2012 ◽
Vol 14
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pp. 1250020
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2019 ◽
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pp. 1950001
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1991 ◽
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pp. 689-706
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1982 ◽
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pp. 441-452
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1987 ◽
Vol 14
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pp. 253-262
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