Gauge invariance and formal integrability of the Yang-Mills-Higgs equations

DOI10.1007/BF02084950zbMath0867.58070MaRDI QIDQ675029

Luigi Mangiarotti, Giovanni Giachetta

Publication date: 10 August 1997

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

formal integrabilitygauge invariantsYang-Mills-Higgs equations

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) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (4)

A Geometric Framework to Compare PDEs and Classical Field Theories ⋮ The profinite dimensional manifold structure of formal solution spaces of formally integrable PDEs ⋮ Integrability of the field equations of invariant variational problems on linear frame bundles ⋮ Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism

Cites Work

• Fiber bundle techniques in gauge theories. Lectures in mathematical physics at the University of Texas at Austin. Edited by A. Böhm and J. D. Dollard
• Why instantons are monopoles
• Existence theorems for analytic linear partial differential equations
• Integrability criteria for systems of nonlinear partial differential equations
• Gauge-invariant and covariant operators in gauge theories
• On the geometric structure of gauge theories
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