Gamma convergence of Maxwell–Chern–Simons–Higgs energy

In this article, we derive the Γ  -limit of the Maxwell–Chern–Simons–Higgs energy with (logϵ)2 energy bound. Our interests focus on the case with external electro-magnetic potentials. Similarly to the abelian Ginzburg–Landau model, the corresponding obstacle problems are derived.