Volume dependence of the phase boundary in 4D dynamical triangulation

The number of configurations of the dynamical triangulation model of 4D euclidean quantum gravity appears to grow faster than exponentially with the volume, with the implication that the system would end up in the crumpled phase for any fixed $\kappa_2$ (inverse bare Newton constant). However, a scaling region is not excluded if we allow $\kappa_2$ to go to infinity together with the volume.