Energy in Yang–Mills on a Riemann surface

DOI10.1063/1.533348zbMath0974.58014arXivmath/0002072OpenAlexW2058326339MaRDI QIDQ2738047

Dana Stanley Fine

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/0002072

zbMATH Keywords

Morse theorygauge transformationsYang-Mills connectionscritical setsspace of connections

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) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Cites Work

• Quantum Yang-Mills on the two-sphere
• Quantum Yang-Mills on a Riemann surface
• Connections with \(L^ p \)bounds on curvature
• Applications of the Theory of Morse to Symmetric Spaces
• The Yang-Mills equations over Riemann surfaces
• Topological sectors and measures on moduli space in quantum Yang–Mills on a Riemann surface

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