Loop groups and Yang-Mills theory in dimension two

DOI10.1007/BF02104504zbMath0702.58019MaRDI QIDQ915212

Jens Gravesen

Publication date: 1990

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

zbMATH Keywords

energy functionalMorse theoryloop groupsYang-Mills functional

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Loop groups and related constructions, group-theoretic treatment (22E67) Variational problems in infinite-dimensional spaces (58E99)

Related Items

The semiclassical limit for gauge theory on \(S^ 2\), The Yang-Mills gradient flow and loop spaces of compact Lie groups, The Yang-Mills measure for \(S^ 2\), Yang–Mills theory and jumping curves

Cites Work

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• Yang-Mills equations on the two-dimensional sphere
• The Yang-Mills equations over Riemann surfaces
• Extension of C ∞ Functions Defined in a Half Space