Ultraviolet Finite Quantum Field Theory on Quantum Spacetime

@article{Bahns2003UltravioletFQ,
  title={Ultraviolet Finite Quantum Field Theory on Quantum Spacetime},
  author={Dorothea Bahns and Sergio Doplicher and Klaus Fredenhagen and Gherardo Piacitelli},
  journal={Communications in Mathematical Physics},
  year={2003},
  volume={237},
  pages={221-241}
}
Abstract: We discuss a formulation of quantum field theory on quantum space time where the perturbation expansion of the S-matrix is term by term ultraviolet finite. The characteristic feature of our approach is a quantum version of the Wick product at coinciding points: the differences of coordinates qj−qk are not set equal to zero, which would violate the commutation relation between their components. We show that the optimal degree of approximate coincidence can be defined by the evaluation… 

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