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

Authors
Bichl, A Grimstrup, J Popp, L Schweda, M Grosse, H Wulkenhaar, R
Citation
A. Bichl et al., Renormalization of the noncommutative photon self-energy to all orders viaSeiberg-Witten map, J HIGH EN P, 2001(6), 2001, pp. NIL_330-NIL_344
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2001
Issue
6
Year of publication
2001
Pages
NIL_330 - NIL_344
Database
ISI
SICI code
1029-8479(200106)2001:6<NIL_330:ROTNPS>2.0.ZU;2-6
Abstract
We show that the photon self-energy in quantum electrodynamics on noncommut ative R-4 is renormalizable to all orders (both in theta and (h) over bar) when using the Seiberg-Witten map. This is due to the enormous freedom in t he Seiberg-Witten map which represents field redefinitions and generates al l those gauge invariant terms in the theta -deformed classical action which are necessary to compensate the divergences coming from loop integrations.