Ising spins on discrete Regge lattices

We study an Ising spin system coupled to the fluctuating two-dimensional ge ometry of the discrete Regge model and compare with the results of the stan dard Regge calculus. Particular emphasis is placed on the phase transition of the spin system and the associated critical exponents. The results are o btained from finite-size scaling analyses of extensive Monte Carlo simulati ons. (C) 2000 Elsevier Science B.V. All rights reserved.