Ansatze for Solutions with Higher Topological Charge | Zendy

E. Kovacs | Zendy

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Ansatze for Solutions with Higher Topological Charge

Author(s) -

E. Kovacs

Publication year - 1980

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/1445515

Subject(s) - dimension (graph theory) , constant (computer programming) , charge (physics) , quadrupole , physics , k nearest neighbors algorithm , topology (electrical circuits) , mathematical physics , mathematics , combinatorics , quantum mechanics , computer science , artificial intelligence , programming language

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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