Quick Search:
Prog. Theor. Phys. Vol. 125 No. 2 (2011) pp. 247-259
Euclidean Path Integral and Higher-Derivative Theories
Krzysztof Andrzejewski,
Joanna Gonera and
Paweł Maślanka
Department of Theoretical Physics II, University of Łódź,
Pomorska 149/153, 90-236 Łódź, Poland
(Received October 28, 2010; Revised December 14, 2010)
Abstract:
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.
Subject Index :
013, 064
URL :
http://ptp.ipap.jp/link?PTP/125/247/
DOI : 10.1143/PTP.125.247
References:
-
K. S. Stelle, Phys. Rev. D 16 (1977), 953[APS].
E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B 201 (1982), 469[CrossRef].
-
A. M. Polyakov, Nucl. Phys. B 268 (1986), 406[CrossRef].
- M. S. Plyushchay, Mod. Phys. Lett. A 3 (1988), 1299;
Nucl. Phys. B 362 (1991), 54[CrossRef];
Phys. Lett. B 262 (1991), 71[CrossRef]; Mod. Phys. Lett. A 4 (1989), 837;
Phys. Lett. B 243 (1990), 383[CrossRef]; Electron. J. Theor. Phys. 3N10 (2006), 17.
-
M. R. Douglas and N. A. Nekrasov, Rev. Mod. Phys. 73 (2001), 977[APS].
R. J. Szabo, Phys. Rep. 378 (2003), 207[CrossRef].
- A. Mironov and A. Morozov, Theor. Math. Phys. 156 (2008), 1209; Int. J. Mod. Phys. A 23 (2008), 4686.
D. Galakhov, JETP Lett. 87 (2008), 452[AIP Scitation].
- M. Ostrogradski, Mem. Ac. St. Petersburg VI 4 (1850), 385.
J. Govaerts and M. S. Rashid, hep-th/9403009[e-print arXiv].
T. Nakamura and S. Hamamoto, Prog. Theor. Phys. 95 (1996), 409[PTP].
- S. W. Hawking, in Quantum Field Theory and Quantum Statisics: Essays in Honour of the 60th Birthday of E. S. Fradkin, ed. I. A. Batalin, C. J. Isham and G. A. Vilkovisky (Hilger, Bristol, 1987).
-
A. Pais and G. E. Uhlenbeck, Phys. Rev. 79 (1950), 145[APS].
-
D. Boulware and D. Gross, Nucl. Phys. B 233 (1984), 1[CrossRef].
- H. Kleinert, J. Math. Phys. 27 (1986), 2003.
-
S. Hawking and T. Hertog, Phys. Rev. D 65 (2002), 103515[APS].
- T. Dreyfus and H. Dym, Duke Math. J. 45 (1978), 15.
- L. Landau and E. Lifshitz, Mechanics (Pergamon Press, 1968).
-
W. D. Heiss, J. of Phys. A 37 (2004), 2455[CrossRef].
