ON HIGHER DERIVATIVES AS CONSTRAINTS IN FIELD THEORY: A GEOMETRIC PERSPECTIVE

DOI10.1142/S0219887811005968zbMath1245.53031arXiv1009.6054MaRDI QIDQ2891189

Luca Vitagliano

Publication date: 13 June 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.6054

zbMATH Keywords

jet bundlesconstraintsfiber bundlesLagrangian and Hamiltonian formalismshigher derivative field theory

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Applications of local differential geometry to the sciences (53B50) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

Related Items (3)

Symplectic structures related with higher order variational problems ⋮ Non-standard Lagrangians with higher-order derivatives and the Hamiltonian formalism ⋮ Non-standard fractional Lagrangians

Cites Work

• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
• The Lagrangian-Hamiltonian formalism for higher-order field theories
• Cartan forms for first order constrained variational problems
• Generalized Hamiltonian dynamics. I. Formulation on T*Q⊕T Q
• Generalized Hamiltonian dynamics. II. Gauge transformations
• First-order equations of motion for classical mechanics
• Higher-order Hamiltonian formalism in field theory
• Variational methods, multisymplectic geometry and continuum mechanics

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