An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator

Ivan Masterov

    Research output: Contribution to journalArticle

    20 Citations (Scopus)

    Abstract

    Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. An application of this approach to the Pais-Uhlenbeck oscillator yields the Hamiltonian which is unbounded from below. This leads to the ghost problem in quantum theory. In order to avoid this nasty feature, the technique previously developed in [7] is used to construct an alternative Hamiltonian formulation for the multidimensional Pais-Uhlenbeck oscillator of arbitrary even order with distinct frequencies of oscillation. This construction is also generalized to the case of an N = 2 supersymmetric Pais-Uhlenbeck oscillator.

    Original languageEnglish
    Pages (from-to)95-114
    Number of pages20
    JournalNuclear Physics B
    Volume902
    DOIs
    Publication statusPublished - 1 Jan 2016

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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