Hamiltonian structure of the Yang-Mills functional

DOI10.1016/j.difgeo.2011.04.049zbMath1235.58012OpenAlexW1991315907WikidataQ115356823 ScholiaQ115356823MaRDI QIDQ719853

A. Paták

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.049

zbMATH Keywords

LagrangianHamilton equationsLegendre transformationLepagean formjet prolongationYang--Mills field

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Jets in global analysis (58A20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

• Hamiltonian field theory
• Legendre transformation for regularizable Lagrangians in field theory
• Variational principles for locally variational forms
• GEOMETRIC STRUCTURE OF THE HILBERT–YANG–MILLS FUNCTIONAL
• Global variational theory in fibred spaces
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