Second-Order Phase Transition in Causal Dynamical Triangulations

2011/08/19 by J. Ambjørn, J. Ambjorn, Stephen P. Jordan +3 · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-lat #hep-th

paper · pdf · doi:10.1103/physrevlett.107.211303

published as Phys. Rev. Lett. 107, 211303 (2011) · 10 pages, 3 figures

arxiv created 2011/08/19 · openalex publication_date 2011/11/15 · arxiv updated 2011/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Causal dynamical triangulations are a concrete attempt to define a nonperturbative path integral for quantum gravity. We present strong evidence that the lattice theory has a second-order phase transition line, which can potentially be used to define a continuum limit in the conventional sense of nongravitational lattice theories.

Citations

• Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity
• Phase transitions in quantum chromodynamics
• General relativity without coordinates
• The semiclassical limit of causal dynamical triangulations

Cited by

• Exploring Euclidean dynamical triangulations with a non-trivial measure term
• Scale-dependent homogeneity measures for causal dynamical triangulations
• Towards background independent quantum gravity with tensor models
• The nonperturbative functional renormalization group and its applications
• Critical behaviour of loop models on causal triangulations
• Network geometry
• Quantum gravity on foliated spacetimes: Asymptotically safe and sound
• Lattice quantum gravity and asymptotic safety
• Evidence for asymptotic safety from dimensional reduction in causal dynamical triangulations

Related

• Phase structure of Causal Dynamical Triangulations in 4D
• Causal Dynamical Triangulations: Gateway to Nonperturbative Quantum Gravity
• Quantum gravity on a torus
• Spectral Methods in Causal Dynamical Triangulations
• CDT Quantum Toroidal Spacetimes: An Overview