NPAC Technical Report SCCS-766
Scaling and the Fractal Geometry of 2d Quantum Gravity
Mark Bowick, Simon Catterall, Varghese John, Gudmar Thorleifsson
Submitted April 10 1996
Abstract
We use a scaling ansatz to examine geodesic correlation functions
in spin systems coupled to two-dimensional gravity. The numerical
data support the scaling assumption and indicate that
the quantum geometry develops a non-perturbative
length scale.
The existence of this length scale
allows us to extract a fractal dimension, which in
the case of pure gravity
is in agreement with
other recent calculations. We discuss the influence of
the back-reaction of the matter on the fractal dimension.