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arXiv · 2202.07392

Topology induced first-order phase transitions in lattice quantum gravity

J. Ambjorn·J. Gizbert-Studnicki·A. Görlich·D. Németh
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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 $C_b$. 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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J. Ambjorn, J. Gizbert-Studnicki, A. Görlich, D. Németh. 2022-02-15. Topology induced first-order phase transitions in lattice quantum gravity. https://doi.org/10.1007/jhep04(2022)103

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