RENORMALIZATION-GROUP FLOW IN ONE-MATRIX AND 2-MATRIX MODELS

Large-N renormalization group equations for one- and two-matrix models are derived. The exact renormalization group equation involving infin itely many induced interactions can be rewritten in a form that has a finite number of coupling constants by taking account of reparametriza tion identities. Despite the nonlinearity of the equation, the locatio n of fixed points and the scaling exponents can be extracted from the equation. They agree with the spectrum of relevant operators in the ex act solution. A linearized beta-function approximates well the global phase structure which includes several nontrivial fixed points. The gl obal renormalization group flow suggests a kind of c-theorem in two-di mensional quantum gravity.