# 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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