Regularity and energy quantization for the Yang-Mills-Dirac equations on 4-manifolds

DOI10.1016/j.difgeo.2010.05.001zbMath1225.58007OpenAlexW2055461729WikidataQ115357082 ScholiaQ115357082MaRDI QIDQ980894

Takeshi Isobe

Publication date: 8 July 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.05.001

zbMATH Keywords

regularitycompactnessYang-Mills equationsenergy quantization

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Yang-Mills and other gauge theories in quantum field theory (81T13) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items

Geometric analysis of the Yang-Mills-Higgs-Dirac model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bubble tree convergence for harmonic maps
• Path-connected Yang-Mills moduli spaces
• Dirac-harmonic maps
• Energy identities for Dirac-harmonic maps
• An introduction to Sobolev spaces and interpolation spaces
• The Chern classes of Sobolev connections
• Connections with \(L^ p \)bounds on curvature
• Gauge theories on four dimensional Riemannian manifolds
• Uhlenbeck compactness
• Limit holonomy and extension properties of Sobolev and Yang-Mills bundles.
• A direct method for minimizing the Yang-Mills functional over 4- manifolds
• Harmonic spinors
• Energy quantization for harmonic maps
• Interpolation spaces and energy quantization for Yang-Mills fields
• Energy identity for a class of approximate harmonic maps from surfaces
• Conservation laws for conformally invariant variational problems
• Espaces d'interpolation et théorème de Soboleff
• Regularity theorems and energy identities for Dirac-harmonic maps
• A quantization property for static Ginzburg-Landau vortices
• Removable singularities in coupled yang-mills-dirac fields
• Removable singularities for solutions of coupled Yang-Mills-Dirac equations
• A regularity result for a class of degenerate Yang-Mills connections in critical dimensions
• Regularity of a Fourth Order Nonlinear PDE with Critical Exponent
• Removable singularities in Yang-Mills fields
• Regularity of weak solutions to critical exponent variational equations