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Abstract: We extend the complete Mellin (CM) representation of Feynman amplitudes tothe non-commutative quantum field theories. This representation is a versatiletool. It provides a quick proof of meromorphy of Feynman amplitudes inparameters such as the dimension of space-time. In particular it paves the roadfor the dimensional renormalization of these theories. This complete Mellinrepresentation also allows the study of asymptotic behavior under rescaling ofarbitrary subsets of external invariants of any Feynman amplitude.



Author: R. Gurau, A.P.C. Malbouisson, V. Rivasseau, A. Tanasa

Source: https://arxiv.org/







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