Higher derivative theories with constraints: Exorcising Ostrogradski's Ghost

Dec, 2012
9 pages
Published in:
  • JCAP 02 (2013) 042
e-Print:

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Abstract: (IOP)
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.
Note:
  • 17 pages, no figures, version published in JCAP
  • derivative: high
  • stability: linear
  • constraint
  • phase space: reduced
  • orbit: gauge
  • Hamiltonian
  • gauge fixing
  • boundary condition
  • determinant
  • Poisson bracket