2009/04/30 by Krzysztof Andrzejewski, Joanna Gonera, Paweł Maślanka +1 · 5 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #hep-th #quant-ph
paper · pdf · doi:10.1143/ptp.125.247
published as Prog.Theor.Phys.125:247-259,2011 · 14 pages; no figures;the paper considerably extended; field-theoretical part added
arxiv created 2010/07/30 · crossref issued 2011/02/01 · crossref published 2011/02/01 · crossref published-print 2011/02/01 · openalex publication_date 2011/02/01 · crossref created 2011/02/18 · arxiv updated 2011/05/09 · openalex created_date 2016/06/24 · crossref deposited 2017/08/24 · crossref indexed 2026/07/30 · openalex updated_date 2026/07/30
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.