A renormalization group approach to a Yang-Mills two matrix model

A Yang-Mills type two matrix model with mass terms is studied by use of a matrix renormalization group approach proposed by Brezin and Zinn-Justin. The renormalization group method indicates that the model exhibits a critical behavior similar to that of two-dimensional Euclidean gravity. A massless limit and the generation of quadratic terms along the renormalization group flow are discussed.