Electroweak Monopole-antimonopole Pair in the Standard Model
Abstract
We present the first numerical solution that corresponds to a pair of Cho-Maison monopole and antimonopole (MAP) in the SU(2)×U(1) Weinberg-Salam (WS) theory. The monopoles are finitely separated, while each pole carries magnetic charge 4π/e. The positive pole is situated in the upper hemisphere, whereas the negative pole is in the lower hemisphere. The Cho-Maison MAP was investigated for a range of Weinberg angle, 0.4675≤θW≤10, and Higgs self-coupling, 0≤β≤1.7704. Magnetic dipole moment (μm) and pole separation (dz) of the numerical solutions are calculated and analyzed. Total energy of the system, however, is infinite due to point singularities at the locations of monopoles.
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