Structure of gauge-invariant Lagrangians

DOI10.1007/s00009-019-1454-3zbMath1433.53034arXiv1903.00443OpenAlexW2994976659WikidataQ126587658 ScholiaQ126587658MaRDI QIDQ2295436

María Eugenia Rosado María, Jaime Muñoz Masqué, Marco Castrillón López

Publication date: 13 February 2020

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

Full work available at URL: https://arxiv.org/abs/1903.00443

zbMATH Keywords

gauge invariancejet bundlesbundle of connectionsstructure of Lie algebrascurvature mappingfunctionally independent gauge-invariant Lagrangians

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Nonlinear first-order PDEs (35F20) Yang-Mills and other gauge theories in quantum field theory (81T13) Jets in global analysis (58A20) Applications of global differential geometry to the sciences (53C80) Group actions and symmetry properties (58D19) Connections (general theory) (53C05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (2)

Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method ⋮ Note on the bundle geometry of field space, variational connections, the dressing field method, \& presymplectic structures of gauge theories over bounded regions

Cites Work

• Fonctions différentiables invariantes sous l'opération d'un groupe réductif
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Gauge invariance and variational trivial problems on the bundle of connections.
• The geometry of gauge-particle field interaction: A generalization of Utiyama's theorem
• Hamiltonian structure of gauge-invariant variational problems
• Complex Analytic Connections in Fibre Bundles
• The Yang-Mills equations over Riemann surfaces
• The geometry of the bundle of connections
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