UV/IR mixing in noncommutative QED defined by Seiberg-Witten map

TL;DR

This paper investigates UV/IR mixing in noncommutative QED formulated via Seiberg-Witten map using a heta-exact approach, finding that the mixing behavior matches that of models without the map.

Contribution

It provides a nonperturbative analysis of UV/IR mixing in Seiberg-Witten mapped NCQED, demonstrating equivalence with non-mapped models at the one-loop level.

Findings

UV/IR mixing term matches that of non-mapped NCQED

Uses heta-exact approach for nonperturbative analysis

One-loop fermion correction computed explicitly

Abstract

Noncommutative gauge theories defined via Seiberg-Witten map have desirable properties that theories defined directly in terms of noncommutative fields lack, covariance and unrestricted choice of gauge group and charge being among them, but nonperturbative results in the deformation parameter \theta are hard to obtain. In this article we use a \theta-exact approach to study UV/IR mixing in a noncommutative quantum electrodynamics (NCQED) model defined via Seiberg-Witten map. The fermion contribution of the one loop correction to the photon propagator is computed and it is found that it gives the same UV/IR mixing term as a NCQED model without Seiberg-Witten map.