Removable singularities of Yang-Mills-Higgs fields in higher dimensions
Abstract
This paper establishes decay estimates near isolated singularities for n-dimensional Yang-Mills-Higgs fields defined on a fiber bundle (n ≥ 4). These estimates yield a removable singularity theorem for Yang-Mills-Higgs fields under conformally invariant energy bounds, extending the classical results for Yang-Mills fields and harmonic maps.
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