A monotonicity formula for Yang-Mills fields

DOI10.1007/BF01165828zbMath0521.58024MaRDI QIDQ1055058

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154948

zbMATH Keywords

nonlinear sigma models geodesic balls Liouville-type theorem action density energy-minimizing harmonic maps

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Harmonic maps, etc. (58E20) Geometric quantization (53D50)

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I: Case of \(p\ge 2\) ⋮ Epsilon-regularity for \(p\)-harmonic maps at a free boundary on a sphere ⋮ A variational problem related to conformal maps ⋮ The uniqueness of tangent cones for Yang-Mills connections with isolated singularities. ⋮ Boundary partial regularity for a class of biharmonic maps ⋮ Nonuniqueness for the heat flow of harmonic maps ⋮ A Variational Problem Pertaining to Biharmonic Maps ⋮ Singularities of Hermitian-Yang-Mills connections and Harder-Narasimhan-Seshadri filtrations ⋮ Harmonic maps from manifolds of \(L^{\infty}\)-Riemannian metrics ⋮ Intrinsically \(p\)-biharmonic maps ⋮ A Liouville theorem for certain nonstationary maps ⋮ Stationary harmonic maps into complete Riemannian manifold ⋮ The Variations of Yang–Mills Lagrangian ⋮ Variational equations on mixed Riemannian-Lorentzian metrics ⋮ Local regularity for the harmonic map and Yang-Mills heat flows ⋮ Heat ball formulæ for \(k\)-forms on evolving manifolds ⋮ Inequalities of Simons type and gaps for Yang-Mills fields ⋮ Partial regularity for stationary harmonic maps into spheres ⋮ Partial regularity for solutions of a nonlinear elliptic equation with singular nonlinearity ⋮ Spin(7)-instantons, Cayley submanifolds and Fueter sections ⋮ Oxidation of self-duality to 12 dimensions and beyond ⋮ Energy identity and necklessness for a sequence of Sacks-Uhlenbeck maps to a sphere ⋮ Energy gap for Yang-Mills connections. 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