Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-19
Phys.Rev. D70 (2004) 065010
Physics
High Energy Physics
High Energy Physics - Theory
45 pages, 35 figures, uses revtex4
Scientific paper
10.1103/PhysRevD.70.065010
We consider static axially symmetric solutions of SU(2) Yang-Mills-Higgs theory. The simplest such solutions represent monopoles, multimonopoles and monopole-antimonopole pairs. In general such solutions are characterized by two integers, the winding number m of their polar angle, and the winding number n of their azimuthal angle. For solutions with n=1 and n=2, the Higgs field vanishes at m isolated points along the symmetry axis, which are associated with the locations of m monopoles and antimonopoles of charge n. These solutions represent chains of m monopoles and antimonopoles in static equilibrium. For larger values of n, totally different configurations arise, where the Higgs field vanishes on one or more rings, centered around the symmetry axis. We discuss the properties of such monopole-antimonopole chains and vortex rings, in particular their energies and magnetic dipole moments, and we study the influence of a finite Higgs self-coupling constant on these solutions.
Kleihaus Burkhard
Kunz Jutta
Shnir Yasha
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