Parameter Invariance in Field Theory and the Hamiltonian Formalism

DOI<link itemprop=identifier href="https://doi.org/10.1002/(SICI)1521-3978(200004)48:4<361::AID-PROP361>3.0.CO;2-3" /><361::AID-PROP361>3.0.CO;2-3 10.1002/(SICI)1521-3978(200004)48:4<361::AID-PROP361>3.0.CO;2-3zbMath0955.58014OpenAlexW2083896629MaRDI QIDQ4507607

L. M. Pozo Coronado, Jaime Muñoz Masqué

Publication date: 8 October 2000

Full work available at URL: https://doi.org/10.1002/(sici)1521-3978(200004)48:4<361::aid-prop361>3.0.co;2-3

zbMATH Keywords

variational problemsHamilton equationsinfinitesimal symmetriesjet bundlepre-symplectic structurePoincaré-Cartan formHamilton-Cartan formalisminfinitesimal contact transformationsdeparametrization problemparameter-invariant Lagrangian densities

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Jets in global analysis (58A20) Quantum field theory; related classical field theories (81T99) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)

Related Items (4)

Independence of Yang-Mills equations with respect to the invariant pairing in the Lie algebra ⋮ Second-order Lagrangians admitting a first-order Hamiltonian formalism ⋮ Diffeomorphism-invariant covariant Hamiltonians of a linear frame and a linear connection ⋮ Integrability of the field equations of invariant variational problems on linear frame bundles

Cites Work

• The Hamilton-Cartan formalism in the calculus of variations
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