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u|^2+\\epsilon^2|F_\\nabla|^2+\\frac{1}{4\\epsilon^2}(1-|u|^2)^2\\Big) \\end{align*} of the self-dual Yang-Mills-Higgs energy, where $u$ is a section of $L$ and $\\nabla$ is a Hermitian connection on $L$ with curvature $F_{\\nabla}$.\n  Under the natural assumption $\\limsup_{\\epsilon\\to 0}E_\\epsilon(u_\\epsilon,\\nabla_\\epsilon)<\\infty$, we 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