FIXED VERSUS RANDOM TRIANGULATIONS IN 2D REGGE CALCULUS

We study 2D quantum gravity on spherical topologies using the Regge ca lculus approach with the dl/l measure. Instead of a fixed non-regular triangulation which has been used before, we study for each system siz e four different random triangulations, which are obtained according t o the standard Voronoi-Delaunay procedure. We compare both approaches quantitatively and show that the difference in the expectation value o f R(2) between the fixed and the random triangulation depends on the l attice size and the surface area A. We also try again to measure the s tring susceptibility exponents through a finite-size scaling Ansatz in the expectation value of an added R(2) interaction term in an approac h where A is held fixed. The string susceptibility exponent gamma(str) ' is shown to agree with theoretical predictions for the sphere, where as the estimate for gamma(str) appears to be too negative.