Causal Dynamical Triangulations (CDT) is a lattice formulation of quantum gravity, suitable for Monte-Carlo simulations which have been used to study the phase diagram of the model. It has four phases characterized by different dominant geometries, denoted phase A, B, C and Cb. In this article we analyse the A−B and the B−C {phase} transitions in the case where the topology of space is that of the three-torus. This completes the phase diagram of CDT for such a spatial topology. We observe that the order of a phase transition of spacetime geometries can depend on the topology of spacetime.
@article{arxiv.2202.07392,
title = {Topology induced first-order phase transitions in lattice quantum gravity},
author = {J. Ambjorn and J. Gizbert-Studnicki and A. Görlich and D. Németh},
journal= {arXiv preprint arXiv:2202.07392},
year = {2022}
}