Perturbative Hamiltonian constraints for higher order theories

Details Perturbative Hamiltonian constraints for higher order theories Perturbative Hamiltonian constraints for higher order theories

2011-04-26

arxiv.org/abs/1104.4923v2

Int. J. Mod. Phys A26 (2011) 4661-4686

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 4 figures; review section shortened and appendices changed

Scientific paper

10.1142/S0217751X11054681

We present a method for constructing a consistent low energy canonical formalism for higher order time-derivative theories, extending the Dirac method to include perturbative Hamiltonian constraints. We apply it to two paradigmatic examples: the Pais-Uhlenbeck oscillator and the Bernard-Duncan scalar field. We also compare the results, both at the classical and quantum level, with the ones corresponding to a direct perturbative construction applied to the exact higher order theory. This comparison highligths the soundness of the present formalism.

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