A Morse theory for equivariant Yang-Mills

DOI10.1215/S0012-7094-92-06610-5zbMath0782.58016MaRDI QIDQ1196389

Thomas H. Parker

Publication date: 14 December 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Yang-Mills-Higgs fieldsYang-Mills functionalPalais-Smale condition Cvriational methods

Mathematics Subject Classification ID

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

Symmetric instantons and the ADHM construction ⋮ On exponential Yang-Mills connections ⋮ Convergence of Yang-Mills-Higgs fields ⋮ The energy identity for a sequence of Yang-Mills \(\alpha \)-connections ⋮ On the bifurcation theory of the Ginzburg–Landau equations ⋮ Some useful facts on invariant connections ⋮ The hyperbolic Yang-Mills equation for connections in an arbitrary topological class ⋮ Non-self-dual Yang-Mills connections with quadrupole symmetry ⋮ Heat flow of Yang-Mills-Higgs functionals in dimension two ⋮ A BOUNDARY VALUE PROBLEM FOR MONOPOLES OVER A 3-DIMENSIONAL DISK ⋮ Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds ⋮ Morse theory for the Yang-Mills functional via equivariant homotopy theory ⋮ Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in four dimensions. I ⋮ Domain wall equations, Hessian of superpotential, and Bogomol'nyi bounds

Cites Work

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