Ansatze for Solutions with Higher Topological Charge*
نویسنده
چکیده
The correspondence between topologically stable kinks of scalar $4 theory, vortices of the Abelian Higgs model, monopoles of the 't Hooft-Polyakov model and instantons of SLJ(2) Euclidean gauge theories is exhibited. The use of multi-instanton ansatze for finding multimonopole and multivortex configurations is then investigated. A partial is solution of the N-vortex configurat .ion for the Abelian Higgs model obtained. Submitted to Physical Review D * Work supported in part by the Department of Energy under contract DE-AC03-76SF00515, by the Australian Postgraduate Research Award, and by the University of Melbourne Travelling Scholarship.
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