Spins coupled to a Z2-Regge lattice in 4d

Abstract

We study an Ising spin system coupled to a fluctuating four-dimensional Z 2-Regge lattice and compare with the results of the four-dimensional Ising model on a regular lattice. Particular emphasis is placed on the phase transition of the spin system and the associated critical exponents. We present results from finite-size scaling analyses of extensive Monte Carlo simulations which are consistent with mean-field predictions.