(1) Laboratoire de Physique Théorique CNRS UMR 8627, bat. 210, Université Paris XI, 91405 Orsay Cedex, France;(2) Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud, 150, 22290-180 Rio de Janeiro, RJ, Brazil
Abstract:
We extend the complete Mellin (CM) representation of Feynman amplitudes to the non-commutative quantum field theories. This
representation is a versatile tool. It provides a quick proof of meromorphy of Feynman amplitudes in parameters such as the
dimension of space–time. In particular it paves the road for the dimensional renormalization of these theories. This complete
Mellin representation also allows the study of asymptotic behavior under rescaling of arbitrary subsets of external invariants
of any Feynman amplitude.