On surfaces, weak solutions of the Yang-Mills-Higgs-Dirac system are smooth after a gauge transformation, and bounded-energy approximate solutions converge modulo bubbles with energy identities and no neck.
The boundary valu e problem for Yang–Mills–Higgs fields
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Geometric analysis of the Yang-Mills-Higgs-Dirac model
On surfaces, weak solutions of the Yang-Mills-Higgs-Dirac system are smooth after a gauge transformation, and bounded-energy approximate solutions converge modulo bubbles with energy identities and no neck.