An energy gap for Yang-Mills connections

DOI10.1007/s00220-010-1073-0zbMath1198.53025arXiv0908.0767OpenAlexW3099926300MaRDI QIDQ1958544

Claus Gerhardt

Publication date: 4 October 2010

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

Full work available at URL: https://arxiv.org/abs/0908.0767

zbMATH Keywords

energyflat connection

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)

Related Items

Energy gaps for Yang-Mills fields ⋮ The analysis of inhomogeneous Yang–Mills connections on closed Riemannian manifold ⋮ Energy gap for Yang-Mills connections. I: Four-dimensional closed Riemannian manifolds ⋮ A conformally invariant gap theorem in Yang-Mills theory ⋮ A proof of energy gap for Yang-Mills connections ⋮ An energy gap for complex Yang-Mills equations ⋮ \(L^2\) harmonic forms on complete special holonomy manifolds ⋮ Inequalities of Simons type and gaps for Yang-Mills fields ⋮ Energy gap for Yang-Mills connections. II: Arbitrary closed Riemannian manifolds ⋮ \(L^2\) vanishing theorem on some Kähler manifolds ⋮ Energy gaps for exponential Yang-Mills fields

Cites Work

• Unnamed Item
• Stability and isolation phenomena for Yang-Mills fields
• Connections with \(L^ p \)bounds on curvature
• Problèmes isoperimetriques et espaces de Sobolev