Compactness theorems for coupled Yang-Mills fields

DOI10.1016/j.jmaa.2004.04.057zbMath1067.53011OpenAlexW2063225254MaRDI QIDQ1888228

Xi Zhang

Publication date: 23 November 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.057

zbMATH Keywords

vector bundlegauge transformationcoupled Young-Mills fields

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items (5)

Convergence of Yang-Mills-Higgs fields ⋮ Minimal submanifolds from the abelian Higgs model ⋮ Regularity and vanishing theorems for Yang-Mills-Higgs pairs ⋮ Compactness theorems for Yang–Mills–Higgs fields ⋮ A weak compactness theorem of the Donaldson-Thomas instantons on compact Kähler threefolds

Cites Work

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• The isolated point singularity problem for the coupled Yang-Mills equations in higher dimensions
• Removable singularities of coupled Yang-Mills fields in \(R^ 3\)
• Conformal fields and stability
• A regularity theory for harmonic maps
• A monotonicity formula for Yang-Mills fields
• Point singularities of coupled gauge fields with low energy
• Compactness of the moduli space of Yang-Mills connections in higher dimensions
• 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
• Higher-order singularities in coupled Yang-Mills-Higgs fields
• Removable singularities in Yang-Mills fields

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