Transition Between Vortex Rings and MAP Solutions for Electrically Charged Magnetic Solutions

摘要

We consider the bifurcation and transition of axially symmetric monopole-antimonopole pair (MAP) and vortex ring solutions in the presence of electric charge for the SU(2) Yang-Mills-Higgs field theory. Here we investigate the properties of MAP/vortex ring solutions with n = 3;η= 0:65, for different Higgs field strength λ. For λ< 4:93, there is only one fundamental branch of vortex ring solution, but at the critical value of λ_b = 4:93, branching happens and 2 sets of new solutions appeared. The new branch with less energy is a full MAP solution while the branch with higher energy contains MAP at the beginning and separation between poles of MAP on the z-axis reduces gradually and at another critical value of λ_t = 14:852, they merge together at z = 0. Beyond this point the solutions change to the vortex ring solutions and a transitions between MAP and vortex ring solutions happens at this branch.