Measure dependence of 2D simplicial quantum gravity

Abstract

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 ${\gamma }_{\mathrm{str}}$ 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 $dl/l$ and the Misner measure $dl/\sqrt{A}$.

3 pages, self unpacking uuencoded PostScript file, contribution to LATTICE94

References in corpus (1)

• The critical behaviour of Ising spins on 2D Regge lattices

Cited by in corpus (3)

• Loop and spin foam quantum gravity: a brief guide for beginners
• Spikes in Quantum Regge Calculus
• Measuring the string susceptibility in 2D simplicial quantum gravity using the Regge approach