# Quantum gravity from causal dynamical triangulations: a review

@article{Loll2019QuantumGF, title={Quantum gravity from causal dynamical triangulations: a review}, author={R Loll}, journal={Classical and Quantum Gravity}, year={2019}, volume={37} }

This topical review gives a comprehensive overview and assessment of recent results in causal dynamical triangulations, a modern formulation of lattice gravity, whose aim is to obtain a theory of quantum gravity nonperturbatively from a scaling limit of the lattice-regularized theory. In this manifestly diffeomorphism-invariant approach one has direct, computational access to a Planckian spacetime regime, which is explored with the help of invariant quantum observables. During the last few…

## 150 Citations

Renormalization in Quantum Theories of Geometry

- PhysicsFrontiers in Physics
- 2020

A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is…

CDT Quantum Toroidal Spacetimes: An Overview

- PhysicsUniverse
- 2021

Lattice formulations of gravity can be used to study non-perturbative aspects of quantum gravity. Causal Dynamical Triangulations (CDT) is a lattice model of gravity that has been used in this way.…

Quantum Gravity: A Fluctuating Point of View

- PhysicsFrontiers in Physics
- 2020

In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a functional renormalization group approach that disentangles dynamical metric fluctuations from the…

New topological observables in a model of Causal Dynamical Triangulations on a torus

- Physics, Mathematics
- 2021

The structure of simplicial manifolds in a model of Causal Dynamical Triangulations in 3+1 dimensions with the spatial topology of a 3-torus is analyzed with the help of topological observables, such…

Geometric flux formula for the gravitational Wilson loop

- Physics, Mathematics
- 2020

Finding diffeomorphism-invariant observables to characterize the properties of gravity and spacetime at the Planck scale is essential for making progress in quantum gravity. The holonomy and Wilson…

Matter-Driven Change of Spacetime Topology.

- PhysicsPhysical review letters
- 2021

Using Monte Carlo computer simulations, the impact of matter fields on the geometry of a typical quantum universe in the causal dynamical triangulations (cdt) model of lattice quantum gravity is studied and a phase transition caused by the scalar field is observed.

Configuration space for quantum gravity in a locally regularized path integral

- Mathematics, Physics
- 2022

: We discuss some aspects of the metric conﬁguration space in quantum gravity in the background ﬁeld formalism. We give a necessary and suﬃcient condition for the parameterization of Euclidean metric…

Curvature profiles for quantum gravity

- Physics
- 2021

Building on the recently introduced notion of quantum Ricci curvature and motivated by considerations in nonperturbative quantum gravity, we advocate a new, global observable for curved metric…

Exploring black hole mechanics in cotangent bundle geometries

- PhysicsInternational Journal of Geometric Methods in Modern Physics
- 2022

The classical and continuum limit of a quantum gravitational setting could lead, at mesoscopic regimes, to a very different notion of geometry with respect to the pseudo-Riemannian one of special and…

Topology induced first-order phase transitions in lattice quantum gravity

- PhysicsJournal of High Energy Physics
- 2022

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…

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