Attractive and repulsive Yang-Mills--Higgs magnetic monopoles on ${\mathbb{R}}^3$

Francisco Navarro-Lérida, Eugen Radu, D. H. Tchrakian

An $SO(3)$-gauged Higgs model on ${\mathbb{R}}^3$ is proposed that, like the Abelian Higgs model on ${\mathbb{R}}^2$, features both attractive and repulsive phases, though unlike the l…