A Monopole-Antimonopole Solution of the SU(2) Yang-Mills-Higgs Model
B. Kleihaus (1), Jutta Kunz (2) ((1) NUI Maynooth, Ireland, (2), University Oldenburg, Germany)
TL;DR
This paper numerically constructs a finite energy monopole-antimonopole solution in the SU(2) Yang-Mills-Higgs model, extending previous work to include non-Bogomol'nyi solutions and finite Higgs potential.
Contribution
It provides the first numerical construction of a monopole-antimonopole pair solution outside the Bogomol'nyi limit in the SU(2) Yang-Mills-Higgs model.
Findings
Successfully constructed a smooth finite energy monopole-antimonopole solution.
Extended the solution to include finite Higgs potential.
Demonstrated solutions do not satisfy Bogomol'nyi equations.
Abstract
As shown by Taubes, in the Bogomol'nyi-Prasad-Sommerfield limit the SU(2) Yang-Mills-Higgs model possesses smooth finite energy solutions, which do not satisfy the first order Bogomol'nyi equations. We construct numerically such a non-Bogomol'nyi solution, corresponding to a monopole-antimonopole pair, and extend the construction to finite Higgs potential.
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