Feynman amplitudes in renormalizable non-commutative quantum field theory

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We consider here the Feynman amplitudes of renormalizable non-commutative quantum field theory models. Different representations (the parametric and the Mellin one) are presented. The latter further allows the proof of meromorphy of a amplitude in the space-time dimension.
5 pages, contribution solicited by "The Modern Encyclopedia of Mathematical Physics (MEMPhys)"

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