Higher derivative theories with constraints : Exorcising Ostrogradski's Ghost

Andrew J. Tolley; Eugene A. Lim; Matteo Fasiello; Tai-jun Chen

arxiv: 1209.0583 · v4 · pith:LJKD26EInew · submitted 2012-09-04 · ✦ hep-th · astro-ph.CO· gr-qc· math-ph· math.MP

Higher derivative theories with constraints : Exorcising Ostrogradski's Ghost

Tai-jun Chen , Matteo Fasiello , Eugene A. Lim , Andrew J. Tolley This is my paper

classification ✦ hep-th astro-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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