Euclidean Path Integral and Higher-Derivative Theories

Details Euclidean Path Integral and Higher-Derivative Theories Euclidean Path Integral and Higher-Derivative Theories

2009-04-20

arxiv.org/abs/0904.3055v3

Prog.Theor.Phys.125:247-259,2011

Physics

High Energy Physics

High Energy Physics - Theory

14 pages; no figures;the paper considerably extended; field-theoretical part added

Scientific paper

10.1143/PTP.125.247

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.

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