Monopole-Antimonopole System and Vortex-ring Configurations in the Weinberg-Salam Model

概要

The Georgi-Glashow model is famous for the huge families of magnetic monopole solutions, the most important of all solution is the well-known 't Hooft-Polyakov monopole. For the more realistic Weinberg-Salam model, Nambu has demonstrated the existence of a rotating dumb-bell made of monopole and antimonopole, connected by a flux string of neutral field. Some years later, Cho and Maison showed that the Georgi-Glashow and Weinberg-Salam model possesses exactly the same topological structure, and constructed a spherically symmetric Weinberg-Salam monopole, namely the Cho-Maison monopole. In this work we solve the Weinberg-Salam equations of motion for numerical solutions which are generalization of the Nambu's electroweak monopole and the Cho-Maison monopole. These solutions correspond to series of magnetic poles with alternating sign aligned along the z-axis, which include the monopole-antimonopole chain, monopole-antimonopole pair, and vortex ring.