Existence of Local Covariant Time Ordered Products of Quantum Fields in Curved Spacetime

@article{Hollands2002ExistenceOL,
  title={Existence of Local Covariant Time Ordered Products of Quantum Fields in Curved Spacetime},
  author={S. Hollands and R. Wald},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={231},
  pages={309-345}
}
  • S. Hollands, R. Wald
  • Published 2002
  • Physics, Mathematics
  • Communications in Mathematical Physics
Abstract: We establish the existence of local, covariant time ordered products of local Wick polynomials for a free scalar field in curved spacetime. Our time ordered products satisfy all of the hypotheses of our previous uniqueness theorem, so our construction essentially completes the analysis of the existence, uniqueness, and renormalizability of the perturbative expansion for nonlinear quantum field theories in curved spacetime. As a byproduct of our analysis, we derive a scaling expansion… Expand
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