Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds

@article{Brunetti2000MicrolocalAA,
  title={Microlocal Analysis and¶Interacting Quantum Field Theories:¶Renormalization on Physical Backgrounds},
  author={R. Brunetti and K. Fredenhagen},
  journal={Communications in Mathematical Physics},
  year={2000},
  volume={208},
  pages={623-661}
}
Abstract:We present a perturbative construction of interacting quantum field theories on smooth globally hyperbolic (curved) space-times. We develop a purely local version of the Stückelberg–Bogoliubov–Epstein–Glaser method of renormalization by using techniques from microlocal analysis. Relying on recent results of Radzikowski, Köhler and the authors about a formulation of a local spectrum condition in terms of wave front sets of correlation functions of quantum fields on curved space-times… Expand
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