As shown by Taubes, in the Bogomolnyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomolnyi equations. We construct numerically such a non-Bogomolnyi solution, corresponding to a monopole-antimonopole pair, and extend the construction to finite Higgs potential.
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