Journal Article

Euclidean Path Integral and Higher-Derivative Theories

Krzysztof Andrzejewski, Joanna Gonera and Paweł Maślanka

in Progress of Theoretical Physics

Published on behalf of The Physical Society of Japan

Volume 125, issue 2, pages 247-259
Published in print February 2011 | ISSN: 0033-068X
Published online February 2011 | e-ISSN: 1347-4081 | DOI: https://dx.doi.org/10.1143/PTP.125.247
Euclidean Path Integral and Higher-Derivative Theories

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We consider the Euclidean path integral approach to higher-derivative theories proposed by Hawking and Hertog (Phys. Rev. D 65 (2002), 103515). The Pais-Uhlenbeck oscillator is studied in some detail. The operator algebra is reconstructed and the structure of the space of states is 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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Subjects: Quantum Physics ; Mathematical and Statistical Physics

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