Yang-Mills equations on the two-dimensional sphere

DOI10.1007/BF01212449zbMath0585.58017MaRDI QIDQ1070606

Thomas Friedrich, Lutz Habermann

Publication date: 1985

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

zbMATH Keywords

monopolesGauge theoryYang-Mills fieldsYang-Mills equations

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Quantum field theory; related classical field theories (81T99) Applications of global differential geometry to the sciences (53C80)

Related Items

Non-orientable surfaces and electric-magnetic duality ⋮ Connections on the path bundle of a principal fiber bundle ⋮ Yang-Mills Connections on Surfaces and Representations of the Path Group ⋮ Loop groups and Yang-Mills theory in dimension two ⋮ Topology, and (in)stability of non-abelian monopoles ⋮ The semiclassical limit for gauge theory on \(S^ 2\) ⋮ The Yang-Mills gradient flow and loop spaces of compact Lie groups ⋮ On the asymptotics of finite energy solutions of the Yang–Mills–Higgs equations ⋮ The Yang-Mills measure for \(S^ 2\) ⋮ The geometry of gauge fields ⋮ Twistor interpretation of harmonic spheres and Yang-Mills fields

Cites Work

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• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Stability and isolation phenomena for Yang-Mills fields
• Dirac's Monopole and the Hopf Map
• The Geometry of the Orbit Space for Non-Abelian Gauge Theories
• The Yang-Mills equations over Riemann surfaces
• Riemannian geometry