Perturbative Hamiltonian constraints for higher order theories
High Energy Physics - Theory
2011-10-27 v2
Abstract
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.
Cite
@article{arxiv.1104.4923,
title = {Perturbative Hamiltonian constraints for higher order theories},
author = {S. A. Martinez and R. Montemayor and L. F. Urrutia},
journal= {arXiv preprint arXiv:1104.4923},
year = {2011}
}
Comments
26 pages, 4 figures; review section shortened and appendices changed