Topology induced first-order phase transitions in lattice quantum gravity

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.

References in corpus (9)

• Nonperturbative Quantum Gravity
• The Nonperturbative Quantum de Sitter Universe
• Second- and First-Order Phase Transitions in CDT
• The Semiclassical Limit of Causal Dynamical Triangulations
• New higher-order transition in causal dynamical triangulations
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• Scalar fields in Causal Dynamical Triangulations
• 3D Lorentzian Quantum Gravity from the asymmetric ABAB matrix model