Isolated singularities of 3-dimensional Yang-Mills-Higgs fields
Differential Geometry
2024-06-25 v1 Analysis of PDEs
Abstract
In this paper, we derive decay estimates near isolated singularities of 3-dimensional (3d) Yang-Mills-Higgs fields defined on a fiber bundle, where the fiber space is a compact Riemannian manifold and the structure group is a connected compact Lie group. As an application, we obtain removable singularity theorems for 3d Yang-Mills-Higgs fields under different types of energy conditions, which generalizes classical removable singularity theorems for 3d Yang-Mills fields~\cite{S84,SS84} and 3d harmonic maps~\cite{L85}.
Keywords
Cite
@article{arxiv.2406.16276,
title = {Isolated singularities of 3-dimensional Yang-Mills-Higgs fields},
author = {Bo Chen and Chong Song},
journal= {arXiv preprint arXiv:2406.16276},
year = {2024}
}