Investigation by Monte Carlo renormalization of 2-D simplicial quantum gravity coupled to Gaussian matter

We extend a recently proposed real space renormalization group scheme for dynamical triangulations to situations where the lattice is coupled to continuous scalar fields. Using Monte Carlo simulation in combination with a linear, stochastic blocking scheme for the scalar fields we are able to determine the leading eigenvalues of the stability matrix with good accuracy both for cM=1 and cM=10 theories. We show how this method provides an estimate of the anomalous dimension for cM=10 matter coupled to two dimensional quantum gravity. copyright 1998 American Institute of Physics