Trees and spatial topology change in causal dynamical triangulations
Generalized causal dynamical triangulations (generalized CDT) is a model of two-
dimensional quantum gravity in which a limited number of spatial topology changes is …
dimensional quantum gravity in which a limited number of spatial topology changes is …
Quantum canonical tensor model and an exact wave function
N Sasakura - International Journal of Modern Physics A, 2013 - World Scientific
Tensor models in various forms are being studied as models of quantum gravity. Among
them the canonical tensor model has a canonical pair of rank-three tensors as dynamical …
them the canonical tensor model has a canonical pair of rank-three tensors as dynamical …
Coupling of hard dimers to dynamical lattices via random tensors
We study hard dimers on dynamical lattices in arbitrary dimensions using a random tensor
model. The set of lattices corresponds to triangulations of the d-sphere and is selected by …
model. The set of lattices corresponds to triangulations of the d-sphere and is selected by …
The spectral dimension in 2D CDT gravity coupled to scalar fields
J Ambjørn, A Görlich, J Jurkiewicz… - Modern Physics Letters …, 2015 - World Scientific
Causal Dynamical Triangulations (CDT) provide a non-perturbative formulation of Quantum
Gravity assuming the existence of a global time foliation. In our earlier study we analyzed the …
Gravity assuming the existence of a global time foliation. In our earlier study we analyzed the …
From trees to gravity
B Durhuus, T Jonsson, J Wheater - Handbook of Quantum Gravity, 2023 - Springer
In this article, we study two related models of quantum geometry: generic random trees and
two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in …
two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in …
A restricted dimer model on a two-dimensional random causal triangulation
J Ambjørn, B Durhuus, JF Wheater - Journal of Physics A …, 2014 - iopscience.iop.org
We introduce a restricted hard dimer model on a random causal triangulation that is exactly
solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett …
solvable and generalizes a model recently proposed by Atkin and Zohren (2012 Phys. Lett …
Two-dimensional causal dynamical triangulations with gauge fields
Two-dimensional causal dynamical triangulations with gauge fields Page 1 Two-dimensional
causal dynamical triangulations with gauge fields J. Ambjørn1,2,* and A. Ipsen1,† 1The …
causal dynamical triangulations with gauge fields J. Ambjørn1,2,* and A. Ipsen1,† 1The …
On the quantum geometry of multi-critical CDT
A bstract We discuss extensions of a recently introduced model of multi-critical CDT to
higher multi-critical points. As in the case of pure CDT the continuum limit can be taken on …
higher multi-critical points. As in the case of pure CDT the continuum limit can be taken on …
[HTML][HTML] A model for emergence of space and time
J Ambjørn, Y Watabiki - Physics Letters B, 2015 - Elsevier
We study string field theory (third quantization) of the two-dimensional model of quantum
geometry called generalized CDT (“causal dynamical triangulations”). Like in standard non …
geometry called generalized CDT (“causal dynamical triangulations”). Like in standard non …
The cylinder amplitude in the hard dimer model on 2D causal dynamical triangulations
JF Wheater, PD Xavier - Classical and Quantum Gravity, 2022 - iopscience.iop.org
We consider the model of hard dimers coupled to two-dimensional causal dynamical
triangulations (CDT) with all dimer types present and solve it exactly subject to a single …
triangulations (CDT) with all dimer types present and solve it exactly subject to a single …