Differential-geometric structures and gauge theories

DOI10.1007/BF01091862zbMath0623.53048WikidataQ115394133 ScholiaQ115394133MaRDI QIDQ1091628

Yu. G. Lumiste

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

gauge transformationsgauge theoriesYang-Mills fieldsFaddeev-Popov ghostsfundamental 1- formsright-invariant vertical vector fields

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Connections (general theory) (53C05)

Cites Work

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• Some properties of orbit space in Yang-Mills theory
• Differential-geometric structures on manifolds
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Some remarks on the Gribov ambiguity
• Topological aspects of Yang-Mills theory
• Gauge fields and holomorphic geometry
• Invariant Theoretical Interpretation of Interaction
• Conservation of Isotopic Spin and Isotopic Gauge Invariance
• Self-duality in four-dimensional Riemannian geometry