Quenching 2D Quantum Gravity

Abstract

We simulate the Ising model on a set of fixed random ${\varphi }^3$ graphs, which corresponds to a {\it quenched} coupling to 2D gravity rather than the annealed coupling that is usually considered. We investigate the critical exponents in such a quenched ensemble and compare them with measurements on dynamical ${\varphi }^3$ graphs, flat lattices and a single fixed ${\varphi }^3$ graph.

Comments: 8 pages