Solution to the Ghost Problem in Fourth Order Derivative Theories

@article{Mannheim2006SolutionTT,
  title={Solution to the Ghost Problem in Fourth Order Derivative Theories},
  author={P. Mannheim},
  journal={Foundations of Physics},
  year={2006},
  volume={37},
  pages={532-571}
}
  • P. Mannheim
  • Published 2006
  • Mathematics, Physics
  • Foundations of Physics
We present a solution to the ghost problem in fourth order derivative theories. In particular we study the Pais–Uhlenbeck fourth order oscillator model, a model which serves as a prototype for theories which are based on second plus fourth order derivative actions. Via a Dirac constraint method quantization we construct the appropriate quantum-mechanical Hamiltonian and Hilbert space for the system. We find that while the second-quantized Fock space of the general Pais–Uhlenbeck model does… Expand
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References

SHOWING 1-10 OF 24 REFERENCES
Fourth Order Theories Without Ghosts
  • 20
  • PDF
Living with ghosts
  • 214
  • PDF
Giving up the ghost
  • 67
  • PDF
No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model.
  • 221
  • PDF
Classical gravity with higher derivatives
  • 764
Must a Hamiltonian be Hermitian
  • 272
  • PDF
Making sense of non-Hermitian Hamiltonians
  • 1,691
  • PDF
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