Minimizers of higher order gauge invariant functionals

DOI10.1007/s12220-015-9584-8zbMath1353.58007arXiv1501.02089OpenAlexW1995460386MaRDI QIDQ282807

Christoph Scheven, Andreas Gastel

Publication date: 12 May 2016

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02089

zbMATH Keywords

regularityminimizersChern classescritical dimensiongauge invariantbi-Yang-Mills functionalhigher orderPetrache-Riviere removable singularityUhlenbeck gaugeYang-Mills functional

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

Higher order Yang-Mills flow

Cites Work

• Unnamed Item
• Regularity of polyharmonic maps in the critical dimension
• The Chern classes of Sobolev connections
• Connections with \(L^ p \)bounds on curvature
• A partial regularity result for a class of stationary Yang-Mills fields in high dimension.
• Uhlenbeck compactness
• Nonlinear Hodge theory on manifolds with boundary
• A direct method for minimizing the Yang-Mills functional over 4- manifolds
• Interpolation spaces and energy quantization for Yang-Mills fields
• The resolution of the Yang-Mills plateau problem in super-critical dimensions
• Classifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields
• Interior estimates for elliptic systems of partial differential equations
• A regularity result for a class of degenerate Yang-Mills connections in critical dimensions
• Topology, Geometry and Gauge fields
• Bi-harmonic maps and bi-Yang-Mills fields
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• A singularity removal theorem for Yang-Mills fields in higher dimensions
• Removable singularities in Yang-Mills fields