Renormalization of noncommutative Yang-Mills theories: A simple example
  We prove by explicit calculation that Feynman graphs in noncommutative Yang-Mills theory made of repeated insertions into itself of arbitrarily many one-loop ghost propagator corrections are renormalizable by local counterterms. This provides a strong support for the renormalizability conjecture of that model. 
Harald Grosse, Thomas Krajewski and Raimar Wulkenhaar