The geometry of gauge-particle field interaction: A generalization of Utiyama's theorem

DOI10.1016/0393-0440(89)90003-XzbMath0684.53080OpenAlexW1965392473MaRDI QIDQ1825458

David E. Betounes

Publication date: 1989

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(89)90003-x

zbMATH Keywords

gauge theoryassociated bundlesparticle fieldsUtiyama extension processUtiyama's theorem

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Applications of global differential geometry to the sciences (53C80) Fiber bundles in algebraic topology (55R10)

Related Items (10)

Higher-order Utiyama-Yang-Mills Lagrangians ⋮ Symplectic structure and gauge invariance on the cotangent bundle ⋮ The geometry of space-time-matter ⋮ Local symmetries in gauge theories in a finite-dimensional setting ⋮ \(\text{U}(1)\)-invariant current forms ⋮ Homogeneous algebraic distributions ⋮ Structure of gauge-invariant Lagrangians ⋮ Geometric analysis of the Yang-Mills-Higgs-Dirac model ⋮ Gauge forms on \(\text{SU}(2)\)-bundles ⋮ Kaluza-Klein geometry

Cites Work

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• Gauge theories on four dimensional Riemannian manifolds
• Gauge algebras, curvature and symplectic structure
• Connections and 1-jet fiber bundles
• Invariant Theoretical Interpretation of Interaction
• On the geometric structure of gauge theories
• Differential geometric aspects of the Cartan form: Symmetry theory
• Extension of the classical Cartan form

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