Moment problems and the causal set approach to quantum gravity

  title={Moment problems and the causal set approach to quantum gravity},
  author={Avner Ash and Patrick McDonald},
  journal={Journal of Mathematical Physics},
  • A. Ash, P. McDonald
  • Published 6 September 2002
  • Mathematics
  • Journal of Mathematical Physics
We study a collection of discrete Markov chains related to the causal set approach to modeling discrete theories of quantum gravity. The transition probabilities of these chains satisfy a general covariance principle, a causality principle, and a renormalizability condition. The corresponding dynamics are completely determined by a sequence of non-negative real coupling constants. Using techniques related to the classical moment problem, we give a complete description of any such sequence of… 
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Raptis Quantum Space-Time as a Quantum Causal Set Preprint ArXiv:gr-qc
  • Raptis Quantum Space-Time as a Quantum Causal Set Preprint ArXiv:gr-qc
  • 2002