The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories
Differential Geometry
2010-05-07 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0905.4580,
title = {The Lagrangian-Hamiltonian Formalism for Higher Order Field Theories},
author = {L. Vitagliano},
journal= {arXiv preprint arXiv:0905.4580},
year = {2010}
}
Comments
29 pages, revised version as accepted for publication in J. Geom. Phys