Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map
Bichl, Andreas · Grimstrup, Jesper · Grosse, Harald · Popp, Lukas · Schweda, Manfred · Wulkenhaar, Raimar
Original · EN
We show that the photon self-energy in quantum electrodynamics on noncommutative R⁴ is renormalizable to all orders (both in θ and ℏ) when using the Seiberg-Witten map. This is due to the enormous freedom in the Seiberg-Witten map which represents field redefinitions and generates all those gauge invariant terms in the θ-deformed classical action which are necessary to compensate the divergences coming from loop integrations.
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