The higher-order phase transition in toroidal CDT

A bstract We investigate the transition between the phases B and C b observed in four-dimensional Causal Dynamical Triangulations (CDT). We find that the critical properties of CDT with toroidal spatial topology are the same as earlier observed in spherical spatial topology where the B − C b transition was found to be higher-order. This may have important consequences for the existence of the continuum limit of CDT, describing the perspective UV limit of quantum gravity , which potentially can be investigated in the toroidal model.