Loop calculations for the non-commutative U ⋆(1) gauge field model with oscillator term Daniel N. Blaschke, Harald Grosse, Erwin Kronberger, Manfred Schweda and Michael Wohlgenannt Eur. Phys. J. C, 67 3-4 (2010) 575-582 Published online: 08 April 2010 DOI: 10.1140/epjc/s10052-010-1295-5