Non-Commutative Complete Mellin Representation for Feynman Amplitudes

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.

14 pages, no figure

References in corpus (1)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders

Cited by in corpus (9)

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• One-loop $\beta$ functions of a translation-invariant renormalizable noncommutative scalar model
• Why Renormalizable NonCommutative Quantum Field Theories?
• Feynman amplitudes in renormalizable non-commutative quantum field theory
• Existence of Asymptotic Expansions in Noncommutative Quantum Field Theories
• Exorcizing the Landau Ghost in Non Commutative Quantum Field Theory