PCT Theorem for the Operator Product Expansion in Curved Spacetime

@article{Hollands2002PCTTF,
  title={PCT Theorem for the Operator Product Expansion in Curved Spacetime},
  author={Stefan Hollands},
  journal={Communications in Mathematical Physics},
  year={2002},
  volume={244},
  pages={209-244}
}
  • S. Hollands
  • Published 6 December 2002
  • Mathematics
  • Communications in Mathematical Physics
We consider the operator product expansion for quantum field theories on general analytic 4-dimensional curved spacetimes within an axiomatic framework. We prove under certain general, model-independent assumptions that such an expansion necessarily has to be invariant under a simultaneous reversal of parity, time, and charge (PCT) in the following sense: The coefficients in the expansion of a product of fields on a curved spacetime with a given choice of time and space orientation are equal… 
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