Quantization and eigenvalue distribution of noncommutative scalar field   theory
  The quantization of noncommutative scalar field theory is studied from the matrix model point of view, exhibiting the significance of the eigenvalue distribution. This provides a new framework to study renormalization, and predicts a phase transition in the noncommutative \phi^4 model. In 4-dimensions, the corresponding critical line is found to terminate at a non-trivial point. 
Harold Steinacker