  We study the quantization of the noncommutative selfdual \phi^3 model in 4
dimensions, by mapping it to a Kontsevich model. The model is shown to be
renormalizable, provided one additional counterterm is included compared to the
2-dimensional case which can be interpreted as divergent shift of the field
\phi. The known results for the Kontsevich model allow to obtain the genus
expansion of the free energy and of any n-point function, which is finite for
each genus after renormalization. No coupling constant or wavefunction
renormalization is required. A critical coupling is determined, beyond which
the model is unstable. This provides a nontrivial interacting NC field theory
in 4 dimensions.
