Modified Hamiltonian formalism for higher-derivative theories

Details Modified Hamiltonian formalism for higher-derivative theories Modified Hamiltonian formalism for higher-derivative theories

2010-05-21

arxiv.org/abs/1005.3941v4

Physics

High Energy Physics

High Energy Physics - Theory

22 pages; no figures; some comments added; accepted for publication in Phys. Rev. D

Scientific paper

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.

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