Parametric representation of "critical" noncommutative QFT models

TL;DR

This paper extends the parametric representation to a new class of noncommutative quantum field theories called 'critical', including gauge theories relevant for phenomena like the quantum Hall effect, addressing complex power counting issues.

Contribution

It introduces a parametric representation for 'critical' noncommutative QFT models, expanding analytical tools to theories with challenging power counting, including gauge theories.

Findings

Extended parametric representation to critical models

Included gauge theories relevant for quantum Hall effect

Addressed power counting difficulties in noncommutative QFT

Abstract

We extend the parametric representation of renormalizable non commutative quantum field theories to a class of theories which we call "critical", because their power counting is definitely more difficult to obtain. This class of theories is important since it includes gauge theories, which should be relevant for the quantum Hall effect.