• DOI:10.1007/s10701-007-9119-7
Corpus ID: 44031727

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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