Existence of Asymptotic Expansions in Noncommutative Quantum Field Theories

Abstract

Starting from the complete Mellin representation of Feynman amplitudes for noncommutative vulcanized scalar quantum field theory, introduced in a previous publication, we generalize to this theory the study of asymptotic behaviours under scaling of arbitrary subsets of external invariants of any Feynman amplitude. This is accomplished for both convergent and renormalized amplitudes.

15 pages, LATEX, no figures

References in corpus (4)

• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• Muon Anomaly from Lepton Vacuum Polarization and The Mellin--Barnes Representation
• Non-Commutative Complete Mellin Representation for Feynman Amplitudes
• Parametric representation of "critical" noncommutative QFT models