On the asymptotics of finite energy solutions of the Yang–Mills–Higgs equations

DOI10.1063/1.528992zbMath0726.58014OpenAlexW2036017838MaRDI QIDQ3350333

Stamatis Dostoglou

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528992

zbMATH Keywords

asymptotic solutionsmonopolesgauge invarianceYang-Mills-Higgs equations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

The existence of nonminimal solutions of the Yang-Mills-Higgs equations over \(\mathbb{R}^ 3\) with arbitrary positive coupling constant ⋮ A Yang-Mills-Higgs gradient flow on \(\mathbb{R}^3\) blowing up at infinity

Cites Work

• Min-max theory for the Yang-Mills-Higgs equations
• Yang-Mills equations on the two-dimensional sphere
• The Chern classes of Sobolev connections
• Positive harmonic functions on complete manifolds of negative curvature
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• Connections with \(L^ p \)bounds on curvature
• A classification of \(\text{SU}_3\) magnetic monopoles
• A direct method for minimizing the Yang-Mills functional over 4- manifolds
• The Yang-Mills equations over Riemann surfaces

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