Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map

Details Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map

2001-04-10

arxiv.org/abs/hep-th/0104097v3

JHEP 0106 (2001) 013

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX2e. v3: added references, changed title. The general renormalizability proof for noncommutative Maxwell theory

Scientific paper

10.1088/1126-6708/2001/06/013

We show that the photon self-energy in quantum electrodynamics on noncommutative $\mathbb{R}^4$ is renormalizable to all orders (both in $\theta$ and $\hbar$) 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 $\theta$-deformed classical action which are necessary to compensate the divergences coming from loop integrations.

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