Abstract
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.
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Ambjorn, J., Gizbert-Studnicki, J., Görlich, A. et al. Topology induced first-order phase transitions in lattice quantum gravity. J. High Energ. Phys. 2022, 103 (2022). https://doi.org/10.1007/JHEP04(2022)103
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DOI: https://doi.org/10.1007/JHEP04(2022)103