The quantitative behavior of $\alpha$-Yang-Mills-Higgs fields on surfaces

Wanjun Ai, Jiayu Li, Miaomiao Zhu

We investigate the blow-up behavior of $\alpha$-Yang--Mills--Higgs ($\alpha$-YMH) fields over closed Riemannian surfaces with the target fiber $F=S^{K-1}\subset {\mathbb{R}}^K$ being the ro…