paper

The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories

arXiv:0905.4580 · doi:10.1016/j.geomphys.2010.02.003

Abstract

We generalize the Lagrangian-Hamiltonian formalism of Skinner and Rusk to higher order field theories on fiber bundles. As a byproduct we solve the long standing problem of defining, in a coordinate free manner, a Hamiltonian formalism for higher order Lagrangian field theories. Namely, our formalism does only depend on the action functional and, therefore, unlike previously proposed ones, is free from any relevant ambiguity.

29 pages, revised version as accepted for publication in J. Geom. Phys

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