| Summary: | In this dissertation, two types of monopole-antimonopole pair (map) solutions
are found in the weinberg-salam model. The maps are of crucial importance. This
is because if magnetic monopoles were detected in the lab, it would be through pair
production, which is precisely the configuration described by the maps. In this work,
nambu map was investigated first, which consists of a monopole and an antimonopole
bounded by a z0 flux string. It was also confirmed that the nambu map is the electroweak
sphaleron, which plays an important role in baryogenesis. In this research,
300 numerical solutions were obtained corresponding to the nambu map with physical
higgs self-coupling, β = 0.7782, and weinberg angle, tan θw = 0.5358. Total
energies of these solutions were calculated and confirmed that they reside in a range of
13.17–21.02 tev. The rest mass of the system was estimated to be 14.17 ± 0.49 tev
which strongly indicates that this configuration might be detected in the near future.
In addition, evidence was found indicating an oscillatory phenomenon in the energy
density along the string connecting the poles, associated with the symmetry of the solutions.
Further investigations revealed that both magnetic charge density and electric
current of the u(1) gauge field exhibit similar patterns, which contribute directly to the
energy density oscillation.
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