The electroweak monopole–antimonopole pair in the standard model

Abstract

Abstract We present the first numerical solution that corresponds to a pair of Cho–Maison monopoles and antimonopoles (MAPs) in the SU(2) × U(1) Weinberg–Salam (WS) theory. The monopoles are finitely separated, while each pole carries a 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 is investigated for a range of Weinberg angles, 0.4675 ≤ tan θ W ≤ 10 , and Higgs self-coupling, 0 ≤ β ≤ 1.7704. The magnetic dipole moment (μ m) and pole separation (d z ) of the numerical solutions are calculated and analyzed. The total energy of the system, however, is infinite due to point singularities at the locations of monopoles.