On UV/IR Mixing via Seiberg-Witten Map for Noncommutative QED

TL;DR

This paper investigates how UV/IR mixing phenomena persist in noncommutative quantum electrodynamics when using a Seiberg-Witten map, providing a detailed $ heta$-exact formulation with fermions.

Contribution

It derives a $ heta$-exact Seiberg-Witten map for noncommutative QED with fermions and demonstrates the continued presence of UV/IR mixing.

Findings

UV/IR mixing persists in noncommutative QED with fermions

Seiberg-Witten map can be formulated exactly in $ heta$-expansion

Extension of previous results to include fermionic matter

Abstract

We consider quantum electrodynamics in noncommutative spacetime by deriving a $\theta$-exact Seiberg-Witten map with fermions in the fundamental representation of the gauge group as an expansion in the coupling constant. Accordingly, we demonstrate the persistence of UV/IR mixing in noncommutative QED with charged fermions via Seiberg-Witten map, extending the results of Schupp and You [1].