Feynman amplitudes in renormalizable non-commutative quantum field theory

TL;DR

This paper explores Feynman amplitudes in renormalizable non-commutative quantum field theories, presenting different mathematical representations and proving properties like meromorphy in space-time dimensions.

Contribution

It introduces parametric and Mellin representations for Feynman amplitudes and demonstrates meromorphy in the space-time dimension for these models.

Findings

Presented parametric and Mellin representations of amplitudes

Proved meromorphy of amplitudes in space-time dimension

Enhanced understanding of mathematical structure of non-commutative QFT

Abstract

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.