Euclidean Path Integral and Higher-Derivative Theories
Krzysztof Andrzejewski, Joanna Gonera, Pawe L Maślanka · 2013
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. supported by the grant 690 and 795 of the University of Lód´z.