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dc.contributor.authorAndrzejewski, Krzysztof
dc.date.accessioned2016-04-07T06:37:05Z
dc.date.available2016-04-07T06:37:05Z
dc.date.issued2014
dc.identifier.issn0550-3213
dc.identifier.urihttp://hdl.handle.net/11089/17703
dc.description.abstractThe study of the symmetry of Pais–Uhlenbeck oscillator initiated in Andrzejewski et al. (2014) [24] is continued with special emphasis put on the Hamiltonian formalism. The symmetry generators within the original Pais and Uhlenbeck Hamiltonian approach as well as the canonical transformation to the Ostrogradski Hamiltonian framework are derived. The resulting algebra of generators appears to be the central extension of the one obtained on the Lagrangian level; in particular, in the case of odd frequencies one obtains the centrally extended l-conformal Newton–Hooke algebra. In this important case the canonical transformation to an alternative Hamiltonian formalism (related to the free higher derivatives theory) is constructed. It is shown that all generators can be expressed in terms of the ones for the free theory and the result agrees with that obtained by the orbit method.pl_PL
dc.description.sponsorshipThe author is grateful to Joanna Gonera, Piotr Kosiński and Paweł Maślanka for useful comments discussions. The e-mail discussion with Professors Anton Galajinsky and Ivan Masterov is highly acknowledged. The work is supported by the grant of National Research Center number DEC-2013/09/B/ST2/02205.pl_PL
dc.language.isoenpl_PL
dc.publisherElsevier B.V.pl_PL
dc.relation.ispartofseriesNuclear Physics B;889
dc.rightsUznanie autorstwa 3.0 Polska*
dc.rightsUznanie autorstwa 3.0 Polska*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/*
dc.titleHamiltonian formalisms and symmetries of the Pais–Uhlenbeck oscillatorpl_PL
dc.typeArticlepl_PL
dc.page.number333–350pl_PL
dc.contributor.authorAffiliationUniversity of Łódź, Department of Computer Sciencepl_PL
dc.referencesE.S. Fradkin, A.A. Tseytlin Nucl. Phys. B, 201 (1982), p. 469pl_PL
dc.referencesW. Thiring Phys. Rev., 77 (1950), p. 570pl_PL
dc.referencesK.S. Stelle Phys. Rev. D, 16 (1977), p. 953pl_PL
dc.referencesA. Mironov, A. Morozov Int. J. Mod. Phys. A, 23 (2008), p. 4677pl_PL
dc.referencesD. Galakhov JETP Lett., 87 (2008), p. 452pl_PL
dc.referencesM.R. Douglas, N.A. Nekrasov Rev. Mod. Phys., 73 (2001), p. 977pl_PL
dc.referencesR.J. Szabo Phys. Rep., 378 (2003), p. 207pl_PL
dc.referencesM.S. Plyushchay Phys. Lett. B, 243 (1990), p. 383pl_PL
dc.referencesM.S. Plyushchay Phys. Lett. B, 262 (1991), p. 71pl_PL
dc.referencesA.M. Polyakov Nucl. Phys. B, 268 (1986), p. 406pl_PL
dc.referencesK. Andrzejewski, J. Gonera, P. Maślanka Prog. Theor. Phys., 125 (2011), p. 247pl_PL
dc.referencesS.W. Hawking, T. Hertog Phys. Rev. D, 65 (2002), p. 103515pl_PL
dc.referencesA. Pais, G.E. Uhlenbeck Phys. Rev., 79 (1950), p. 145pl_PL
dc.referencesO. Sarioglu, B. Tekin Class. Quantum Gravity, 23 (2006), p. 7541pl_PL
dc.referencesV.V. Nesterenko Phys. Rev. D, 75 (2007), p. 087703pl_PL
dc.referencesA.V. Smilga SIGMA, 5 (2009), p. 017pl_PL
dc.referencesK. Andrzejewski, J. Gonera, P. Machalski, K. Bolonek-Lasoń Phys. Lett. B, 706 (2012), p. 427pl_PL
dc.referencesB. Bagchi, A.G. Choudhury, P. Guha Mod. Phys. Lett. A, 28 (2013), p. 1375001pl_PL
dc.referencesJ.B. Jiménez, E. Di Dio, R. Durrer J. High Energy Phys., 1304 (2013), p. 030pl_PL
dc.referencesM. Pavšič Phys. Rev. D, 87 (2013), p. 107502pl_PL
dc.referencesC. Duval, P. Horvathy J. Phys. A, 44 (2011), p. 335203pl_PL
dc.referencesA. Galajinsky, I. Masterov Phys. Lett. B, 723 (2013), p. 1960pl_PL
dc.referencesM. Ostrogradski Mem. Acad. St. Petersburg, 4 (1850), p. 385pl_PL
dc.referencesJ. Gonera J. Math. Phys., 54 (2013), p. 113507pl_PL
dc.referencesC. Duval, P. Horvathy J. Phys. A, 42 (2009), p. 465206pl_PL
dc.referencesS. Fedoruk, E. Ivanov, J. Lukierski Phys. Rev. D, 83 (2011), p. 085013pl_PL
dc.referencesJ. Gomis, K. Kamimura Phys. Rev. D, 85 (2012), p. 045023pl_PL
dc.referencesN. Aizawa, Y. Kimura, J. Segar J. Phys. A, 46 (2013), p. 405204pl_PL
dc.referencesN. Aizawa, Z. Kuznetsova, F. Toppan J. Math. Phys., 54 (2013), p. 093506pl_PL
dc.referencesM. Henkel, A. Hosseiny, S. Rouhani Nucl. Phys. B, 879 (2014), p. 292pl_PL
dc.referencesK. Andrzejewski, J. Gonera, P. Maślanka Phys. Rev. D, 86 (2012), p. 065009pl_PL
dc.referencesK. Andrzejewski, J. Gonera Phys. Rev. D, 88 (2013), p. 065011pl_PL
dc.referencesU. Niederer Helv. Phys. Acta, 46 (1973), p. 191pl_PL
dc.referencesK. Andrzejewski Phys. Lett. B, 738 (2014), p. 405pl_PL
dc.contributor.authorEmailk-andrzejewski@uni.lodz.plpl_PL
dc.identifier.doi10.1016/j.nuclphysb.2014.10.024


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