A variational problem for a system of magnetic monopoles joined by Abrikosov vortices

DOI10.1007/BF02101011zbMath0857.58014MaRDI QIDQ1925006

M. Leupp, Urban M. Studer, Jürg Fröhlich

Publication date: 9 December 1996

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

zbMATH Keywords

action functional\(U(1)\)-Higgs modelvertex configurations

Mathematics Subject Classification ID

Model quantum field theories (81T10) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of global analysis to the sciences (58Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Cites Work

• Variational problems on vector bundles
• Stability of Coulomb systems with magnetic fields. I: The one-electron atom
• Existence, regularity, and asymptotic behaviour of the solutions to the Ginzburg-Landau equations on \({\mathbb{R}}^ 3\)
• Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
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