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The higher-order phase transition in toroidal CDT

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arxiv 2002.01051 v2 pith:EIL64QNB submitted 2020-02-03 hep-th gr-qchep-lat

Jan Ambj{o}rn , Grzegorz Czelusta , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz , Dániel Németh This is my paper · ORCID
classification hep-thgr-qchep-lat
keywords toroidaltransitionhigher-orderlimitobservedspatialtopologycausal
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abstract

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.

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  1. Machine learning in phase transition analysis of lattice quantum gravity

    hep-lat 2025-10 conditional novelty 5.0 of 10

    Off-the-shelf supervised ML models trained on geometric CDT observables reproduce known quantum-gravity phase transitions and can give sharper transition signals than standard order parameters.

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