Wilsonian Matrix Renormalization Group

The Wilsonian renormalization group approach to matrix models is outlined and applied to multitrace matrix models with emphasis on the computation of the fixed points which could describe the phase structure of noncommutative scalar phi-four theory.Comment: The review section of the RG method for matrix models is replaced with a brief discussion of the fixed points of the cubic-quartic matrix model. The main contribution regarding the multitrace cubic matrix model is left intact. In summary, we employ a consistent mean-field approximation in which Tr M/N is replaced by its expectation value a_1=