Point singularities of coupled gauge fields with low energy

DOI10.1007/BF01217762zbMath0628.53078OpenAlexW2053954026MaRDI QIDQ1093200

Lesley M. Sibner, Thomas H. Otway

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01217762

zbMATH Keywords

Yang-Mills-Higgs fieldsisolated singularities

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80)

Related Items (7)

The analysis of inhomogeneous Yang–Mills connections on closed Riemannian manifold ⋮ Compactness theorems for coupled Yang-Mills fields ⋮ Higher-order singularities in coupled Yang-Mills-Higgs fields ⋮ Accumulation-point singularities of low-energy gauge fields ⋮ Classification of singular Sobolev connections by their holonomy ⋮ On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth ⋮ Limit holonomy and extension properties of Sobolev and Yang-Mills bundles.

Cites Work

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• Removable singularities of coupled Yang-Mills fields in \(R^ 3\)
• A regularity theorem for harmonic maps with small energy
• Connections with \(L^ p \)bounds on curvature
• Gauge theories on four dimensional Riemannian manifolds
• Removable singularities for the Yang-Mills-Higgs equations in two dimensions
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Removable singularities in Yang-Mills fields

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