ar X iv : h ep - t h / 93 08 05 4 v 1 1 1 A ug 1 99 3 CU - TP - 605 hep - ph / 9308054 MONOPOLE VECTOR SPHERICAL HARMONICS
نویسنده
چکیده
Eigenfunctions of total angular momentum for a charged vector field interacting with a magnetic monopole are constructed and their properties studied. In general, these eigenfunctions can be obtained by applying vector operators to the monopole spherical harmonics in a manner similar to that often used for the construction of the ordinary vector spherical harmonics. This construction fails for the harmonics with the minimum allowed angular momentum. These latter form a set of vector fields with vanishing covariant curl and covariant divergence, whose number can be determined by an index theorem. This work was supported in part by the US Department of Energy.
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We study the interaction between monopoles and embedded domain walls in a O(3) linear sigma model. We discover that there is an attractive force between the monopole and the wall. We provide evidence that after the monopole and domain wall collide, the monopole unwinds on the wall, and that the winding number spreads out on the surface. These results support the suggestion by Dvali et al. (hep-...
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