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Causal Dynamical Triangulations (CDT) is a proposal for a theory of quantum gravity, which implements a path-integral quantization of gravity as the continuum limit of a sum over piecewise flat spacetime geometries. We use Monte Carlo…

High Energy Physics - Theory · Physics 2012-06-25 J. Ambjorn , S. Jordan , J. Jurkiewicz , R. Loll

Causal Dynamical Triangulations (CDT) 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…

High Energy Physics - Theory · Physics 2011-12-01 J. Ambjorn , S. Jordan , J. Jurkiewicz , R. Loll

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 four phases characterized by different dominant…

High Energy Physics - Lattice · Physics 2022-05-04 J. Ambjorn , J. Gizbert-Studnicki , A. Görlich , D. Németh

Causal Dynamical Triangulations (CDT) is a non-perturbative lattice approach to quantum gravity where one assumes space-time foliation into spatial hyper-surfaces of fixed topology. Most of the CDT results were obtained for the spatial…

High Energy Physics - Theory · Physics 2019-12-03 Jakub Gizbert-Studnicki

Causal Dynamical Triangulations (CDT) is a lattice approach to quantum gravity. CDT has rich phase structure, including a semiclassical phase consistent with Einstein's general relativity. Some of the observed phase transitions are second…

High Energy Physics - Theory · Physics 2017-04-04 Jakub Gizbert-Studnicki

We perform a first investigation of the coupling constant flow of the nonperturbative lattice model of four-dimensional quantum gravity given in terms of Causal Dynamical Triangulations (CDT). After explaining how standard concepts of…

High Energy Physics - Theory · Physics 2015-02-13 J. Ambjorn , A. Goerlich , J. Jurkiewicz , A. Kreienbuehl , R. Loll

In these lectures we describe how a theory of quantum gravity may be constructed in terms of a lattice formulation based on so-called causal dynamical triangulations (CDT). We discuss how the continuum limit can be obtained and how to…

High Energy Physics - Theory · Physics 2010-07-16 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

Four-dimensional CDT (causal dynamical triangulations) is a lattice theory of geometries which one might use in an attempt to define quantum gravity non-perturbatively, following the standard procedures of lattice field theory. Being a…

High Energy Physics - Theory · Physics 2020-03-19 J. Ambjorn , D. Coumbe , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz

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. It has a built-in time foliation but is…

General Relativity and Quantum Cosmology · Physics 2021-03-30 J. Ambjorn , Z. Drogosz , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz , D. Nèmeth

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…

High Energy Physics - Theory · Physics 2020-06-24 Jan Ambjørn , Grzegorz Czelusta , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz , Dániel Németh

"Causal Dynamical Triangulations" (CDT) represent a lattice regularization of the sum over spacetime histories, providing us with a non-perturbative formulation of quantum gravity. The ultraviolet fixed points of the lattice theory can be…

High Energy Physics - Theory · Physics 2015-06-15 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

Causal Dynamical Triangulations (CDT), a candidate theory of nonperturbative quantum gravity in 4D, turns out to have a rich phase structure. We investigate the recently discovered bifurcation phase $C_b$ and relate some of its…

High Energy Physics - Theory · Physics 2017-04-05 J. Ambjørn , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz , N. Klitgaard , R. Loll

This article discusses the infrared and the (perspective) ultraviolet limits of four-dimensional Causal Dynamical Triangulations (CDT). CDT is a non-perturabtive and background-independent approach to quantization of Einstein's gravity,…

High Energy Physics - Theory · Physics 2023-01-18 Jakub Gizbert-Studnicki

This work focuses on the newly discovered bifurcation phase transition of CDT quantum gravity. We define various order parameters and investigate which is most suitable to study this transition in numerical simulations. By analyzing the…

High Energy Physics - Theory · Physics 2016-03-09 D. N. Coumbe , J. Gizbert-Studnicki , J. Jurkiewicz

This topical review gives a comprehensive overview and assessment of recent results in Causal Dynamical Triangulations (CDT), a modern formulation of lattice gravity, whose aim is to obtain a theory of quantum gravity nonperturbatively from…

High Energy Physics - Theory · Physics 2020-01-08 R. Loll

We compare the effective action of the scale factor obtained from lattice quantum gravity (in the form of Causal Dynamical Triangulations (CDT)) to the corresponding effective action obtained from the simplest Functional Renormalization…

High Energy Physics - Lattice · Physics 2025-09-26 Jan Ambjørn , Jakub Gizbert-Studnicki , Andrzej Gőrlich , Dániel Németh

Asymptotic safety describes a scenario in which general relativity can be quantized as a conventional field theory, despite being nonrenormalizable when expanding it around a fixed background geometry. It is formulated in the framework of…

High Energy Physics - Theory · Physics 2013-02-06 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

We provide a hands-on introduction to Monte Carlo simulations in nonperturbative lattice quantum gravity, formulated in terms of Causal Dynamical Triangulations (CDT). We describe explicitly the implementation of Monte Carlo moves and the…

High Energy Physics - Theory · Physics 2023-10-26 Joren Brunekreef , Andrzej Görlich , Renate Loll

In the approach of Causal Dynamical Triangulations (CDT), quantum gravity is obtained as a scaling limit of a non-perturbative path integral over space-times whose causal structure plays a crucial role in the construction. After some…

General Relativity and Quantum Cosmology · Physics 2018-11-30 L. Glaser , R. Loll

We study matter with central charge $c >1$ coupled to two-dimensional (2d) quantum gravity, here represented as causal dynamical triangulations (CDT). 2d CDT is known to provide a regularization of (Euclidean) 2d Ho\v{r}ava-Lifshitz quantum…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Jan Ambjørn , Andrzej Görlich , Jerzy Jurkiewicz , Hongguang Zhang
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