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Higher derivative theories with constraints : Exorcising Ostrogradski's Ghost

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arxiv 1209.0583 v4 pith:LJKD26EI submitted 2012-09-04 hep-th astro-ph.COgr-qcmath-phmath.MP

Tai-jun Chen , Matteo Fasiello , Eugene A. Lim , Andrew J. Tolley This is my paper · ORCID
classification hep-thastro-ph.COgr-qcmath-phmath.MP
keywords constraintsderivativehigherinstabilityostrogradskitheoryadditionexorcising
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We prove that the linear instability in a non-degenerate higher derivative theory, the Ostrogradski instability, can only be removed by the addition of constraints if the original theory's phase space is reduced.

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  1. Canonical quantization of the Pais-Uhlenbeck oscillator with a higher-derivative perturbation: a covariant phase space approach

    quant-ph 2026-07 conditional novelty 5.0 of 10

    A covariant phase-space perturbation scheme for the Pais-Uhlenbeck oscillator reproduces the exact low-energy spectrum and commutator while decoupling the Ostrogradsky ghost.

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