The higher-order phase transition in toroidal CDT

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.

17 pages, 10 figures

References in corpus (18)

• Investigating the Ultraviolet Properties of Gravity with a Wilsonian Renormalization Group Equation
• Fixed points of quantum gravity
• Nonperturbative Quantum Gravity
• Asymptotic safety in higher-derivative gravity
• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Dynamically Triangulating Lorentzian Quantum Gravity
• Planckian Birth of the Quantum de Sitter Universe
• A second-order phase transition in CDT
• The Semiclassical Limit of Causal Dynamical Triangulations
• Renormalization Group Flow in CDT
• Characteristics of the new phase in CDT
• The effective action in 4-dim CDT. The transfer matrix approach
• The phase structure of Causal Dynamical Triangulations with toroidal spatial topology
• Signature Change of the Metric in CDT Quantum Gravity?
• Four-dimensional CDT with toroidal topology
• Exploring the new phase transition of CDT
• Towards an UV fixed point in CDT gravity
• Critical Phenomena in Causal Dynamical Triangulations

Cited by in corpus (5)

• The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization
• Scalar fields in Causal Dynamical Triangulations
• Topology induced first-order phase transitions in lattice quantum gravity
• Compact Gauge Fields on Causal Dynamical Triangulations: a 2D case study
• Scale-invariant random geometry from mating of trees: a numerical study