An analytical analysis of CDT coupled to dimer-like matter

2012/02/29 by Max R. Atkin, Stefan Zohren
Computer Science · Physics and Astronomy · #Black Holes and Theoretical Physics #Theoretical and Computational Physics #Topological and Geometric Data Analysis #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2012.05.017

published as Physics Letters B 712 (2012), pp. 445-450 · 12 pages, many figures, shortened, as published

openalex publication_date 2012/05/14 · arxiv created 2012/06/07 · arxiv updated 2012/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/03

Abstract

We consider a model of restricted dimers coupled to two-dimensional Causal Dynamical Triangulations (CDT), where the dimer configurations are restricted in the sense that they do not include dimers in regions of high curvature. It is shown how the model can be solved analytically using bijections with decorated trees. At a negative critical value for the dimer fugacity the model undergoes a phase transition at which the critical exponent associated to the geometry changes. This represents the first account of an analytical study of a matter model with two-dimensional interactions coupled to CDT.

Citations

• Quantum Gravity and Matter: Counting Graphs on Causal Dynamical Triangulations
• A string field theory based on causal dynamical triangulations
• Critical and multicritical semi-random (1 +d)-dimensional lattices and hard objects inddimensions
• Census of planar maps: from the one-matrix model solution to a combinatorial proof
• Integrable 2D Lorentzian gravity and random walks