Removable singularities of coupled Yang-Mills fields in \(R^ 3\)

DOI10.1007/BF01218636zbMath0552.35028OpenAlexW2026990989MaRDI QIDQ801477

Robert J. Sibner, Lesley M. Sibner

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01218636

zbMATH Keywords

Yang-Mills-Higgs fieldpoint singularitybroken Hodge gaugesnon-linear elliptic theory

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Constructive quantum field theory (81T08)

Related Items (17)

The existence of nonminimal solutions of the Yang-Mills-Higgs equations over \(\mathbb{R}^ 3\) with arbitrary positive coupling constant ⋮ The analysis of inhomogeneous Yang–Mills connections on closed Riemannian manifold ⋮ Compactness theorems for coupled Yang-Mills fields ⋮ Point singularities of coupled gauge fields with low energy ⋮ Higher-order singularities in coupled Yang-Mills-Higgs fields ⋮ Unnamed Item ⋮ Multiple instantons representing higher-order Chern-Pontryagin classes, II ⋮ Monopoles on the Bryant-Salamon \(G_2\)-manifolds ⋮ Classification of singular Sobolev connections by their holonomy ⋮ Singular Sobolev connections with holonomy ⋮ Calabi-Yau monopoles for the Stenzel metric ⋮ Removable singularities for the Yang-Mills-Higgs equations in two dimensions ⋮ Local behavior of solutions of some elliptic equations ⋮ The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions ⋮ Nonstandard Feynman path integral for the harmonic oscillator ⋮ The Chern classes of Sobolev connections ⋮ Limit holonomy and extension properties of Sobolev and Yang-Mills bundles.

Cites Work

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• Conformal fields and stability
• Removable singularities for some nonlinear elliptic equations
• Stability and isolation phenomena for Yang-Mills fields
• Connections with \(L^ p \)bounds on curvature
• Gauge theories on four dimensional Riemannian manifolds
• Remarks on the Schrödinger operator with singular complex potentials
• Local behavior of solutions of quasi-linear equations
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Removable singularities in Yang-Mills fields
• Removable singularities of solutions of elliptic equations

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