Minimizers of the modified Coulomb-Yang-Mills-Higgs functional converge to harmonic maps into S^2 or relaxed Faddeev-Skyrme minimizers in large-mass and overloading asymptotics, with energies recovering Brezis-Coron-Lieb or Hopf-fibration Dirichlet energies in parameter limits.
Relaxed energies for harmonic maps
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Gauge Symmetry Breaking in the Asymptotic Analysis of Self Dual Yang-Mills-Higgs $SU(2)$ Monopoles
Minimizers of the modified Coulomb-Yang-Mills-Higgs functional converge to harmonic maps into S^2 or relaxed Faddeev-Skyrme minimizers in large-mass and overloading asymptotics, with energies recovering Brezis-Coron-Lieb or Hopf-fibration Dirichlet energies in parameter limits.