Modified Hamiltonian formalism for higher-derivative theories
High Energy Physics - Theory
2014-11-21 v4 Mathematical Physics
math.MP
Abstract
The alternative version of Hamiltonian formalism for higher-derivative theories is proposed. As compared with the standard Ostrogradski approach it has the following advantages: (i) the Lagrangian, when expressed in terms of new variables yields proper equations of motion; no additional Lagrange multipliers are necessary (ii) the Legendre transformation can be performed in a straightforward way provided the Lagrangian is nonsingular in Ostrogradski sense. The generalization to singular Lagrangians as well as field theory are presented.
Cite
@article{arxiv.1005.3941,
title = {Modified Hamiltonian formalism for higher-derivative theories},
author = {Krzysztof Andrzejewski and Joanna Gonera and Piotr Machalski and Pawel Maslanka},
journal= {arXiv preprint arXiv:1005.3941},
year = {2014}
}
Comments
22 pages; no figures; some comments added; accepted for publication in Phys. Rev. D