Monte Carlo Simulations of 2-Dimensional Quantum Gravity Coupled to $c=1$ Matter

Abstract

We present results of a high precision Monte Carlo simulation of dynamically triangulated random surfaces (up to $\approx$ 34,000 triangles) coupled to one scalar field ($c=1$). The mean square extent has been measured for different actions to test the universality of the leading term as a function of the size of the surfaces. Furthermore, the integrated 2-point correlation function for vertex operators is compared with conformal field theory and matrix model predictions.

Comments: 4 pages, LaTeX, uses espcrc2.sty, uses emtex for figures -- if no emtex available, just ignore error messages, Freiburg THEP-92/26 and Tel Aviv TAUP 2007-92, November 1992. Replaced version: we added the name of one of our collaborators, which had mistakenly omitted