Remark on the renormalization group equation for the Penner model

It has been shown that it is possible to extract values for critical couplings and string in matrix models by deriving a renormalization group equation for the variation of the free energy as the size N of the matrices in the theory is varied. In this paper we derive a renormalization group equation for the Penner model by direct differentiation of the partition function and show that it reproduces the correct values of the critical coupling and string and is consistent with the logarithmic corrections present for g=0,1. © 1995 The American Physical Society.