FRACTAL STRUCTURE IN 2-DIMENSIONAL QUANTUM REGGE CALCULUS

We study the fractal structure of the surface in two-dimensional quant um Regge calculus by performing Monte Carlo simulation with up to 200, 000 triangles. The result can be compared with the universal scaling f unction obtained analytically in the continuum limit of dynamical tria ngulation, which provides us with a definite criterion whether Regge c alculus serves as a proper regularization of quantum gravity. When the scale-invariant measure is taken as the measure of the link-length in tegration, we observe the correct scaling behavior in the data for the type of loop attached to a baby universe. The data seem to converge t o the universal scaling function as the number of triangles is increas ed. The data for the type of loop attached to the mother universe, on the other hand, shows no scaling behavior up to the present size.