IR-Singularities in Noncommutative Perturbative Dynamics?

TL;DR

This paper investigates IR-singularities in a noncommutative scalar quantum field theory and demonstrates, through effective action analysis, that such singularities do not actually occur, negating the need for new degrees of freedom.

Contribution

The study shows that IR-singularities in noncommutative scalar field theory are absent when analyzed via the quadratic one-loop effective action and suitable field redefinitions.

Findings

No IR-singularities in the analyzed model.

UV/IR-mixing does not require new degrees of freedom.

Effective action approach clarifies IR behavior.

Abstract

We analyse the IR-singularities that appear in a noncommutative scalar quantum field theory on $\mathcal{E}_4$. We demonstrate with the help of the quadratic one-loop effective action and an appropriate field redefinition that no IR-singularities exist. No new degrees of freedom are needed to describe the UV/IR-mixing.