The existence of nonminimal solutions of the Yang-Mills-Higgs equations over \(\mathbb{R}^ 3\) with arbitrary positive coupling constant

DOI10.1007/BF02102021zbMath0820.53037OpenAlexW2045130048MaRDI QIDQ1328203

Janet Talvacchia, Lesley M. Sibner

Publication date: 5 September 1995

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02102021

zbMATH Keywords

magnetic monopolemin-max theoryYang-Mills-Higgs equations

Mathematics Subject Classification ID

Existence of solutions for minimax problems (49J35) Yang-Mills and other gauge theories in quantum field theory (81T13) Loop spaces (55P35) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Spin and Spin({}^c) geometry (53C27)

Related Items (3)

Topological methods for the Ginzburg-Landau equations ⋮ Topology, and (in)stability of non-abelian monopoles ⋮ Solutions to the minimization problem arising in a dark monopole model in gauge field theory

Cites Work

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• Removable singularities of coupled Yang-Mills fields in \(R^ 3\)
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) I
• The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on \(R^ 3.\) II
• Integrality of the monopole number in SU(2) Yang-Mills-Higgs theory on \({\mathbb{R}}^ 3\)
• Min-max theory for the Yang-Mills-Higgs equations
• On the asymptotics of finite energy solutions of the Yang–Mills–Higgs equations
• Solutions to Yang—Mills equations that are not self-dual

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