Measure dependence of 2D simplicial quantum gravity

We study pure 2D Euclidean quantum gravity with $R^2$ interaction on spherical lattices, employing Regge’s formulation. We attempt to measure the string susceptibility exponent ${\gamma }_{\mathrm{s}\mathrm{t}\mathrm{r}}$ by using a finite-size scaling Ansatz in the expectation value of $R^2$. To check on effects of the path integral measure we investigate two scale invariant measures, the “computer” measure $dl\mathrm{/}l$ and the Misner measure $dl\mathrm{/}\sqrt{A}$.