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Interacting quantum fields on a curved background
Romeo Brunetti and Klaus Fredenhagen
A renormalized perturbative expansion of interacting quantum fields on a globally hyperbolic spacetime is performed by adapting of the Bogoliubov Epstein Glaser method to a curved background. The results heavily rely on techniques from microlocal analysis, in particular on Radzikowski's characterization of Hadamard states by wave front sets of Wightman functions.