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arXiv · 0905.4580

The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories

L. Vitagliano
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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.

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BibTeXRIS

L. Vitagliano. 2009-05-28. The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories. https://doi.org/10.1016/j.geomphys.2010.02.003

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