Euclidean Path Integral and Higher-Derivative Theories
High Energy Physics - Theory
2011-05-09 v3 Quantum Physics
Abstract
We consider the Euclidean path integral approach to higher-derivative theories proposed by Hawking and Hertog (Phys. Rev. D65 (2002), 103515). The Pais-Uhlenbeck oscillator is studied in some detail. The operator algebra is reconstructed and the structure of the space of states revealed. It is shown that the quantum theory results from quantizing the classical complex dynamics in which the original dynamics is consistently immersed. The field-theoretical counterpart of Pais-Uhlenbeck oscillator is also considered.
Cite
@article{arxiv.0904.3055,
title = {Euclidean Path Integral and Higher-Derivative Theories},
author = {Krzysztof Andrzejewski and Joanna Gonera and Pawel Maslanka},
journal= {arXiv preprint arXiv:0904.3055},
year = {2011}
}
Comments
14 pages; no figures;the paper considerably extended; field-theoretical part added