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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

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) is a methodology to define and compute the gravitational path integral, whose aim is a fully fledged nonperturbative quantum field theory of gravity and spacetime. Analogous to lattice formulations of…

High Energy Physics - Theory · Physics 2026-04-08 J. Ambjørn , R. Loll

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) 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

The formalism of Causal Dynamical Triangulations (CDT) attempts to provide a non-perturbative regularization of quantum gravity, viewed as an ordinary quantum field theory. In two dimensions one can solve the lattice theory analytically and…

High Energy Physics - Theory · Physics 2015-06-15 J. Ambjorn , A. Ipsen

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

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

A powerful strategy to treat quantum field theories beyond perturbation theory is by putting them on a lattice. However, the dynamical and symmetry structure of general relativity have for a long time stood in the way of a well-defined…

High Energy Physics - Theory · Physics 2024-01-18 J. Ambjørn , R. Loll

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 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

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

CDT is an attempt to formulate a non-perturbative lattice theory of quantum gravity. We describe the phase diagram and analyse the phase transition between phase B and phase C (which is the analogue of the de Sitter phase observed for the…

High Energy Physics - Theory · Physics 2019-09-04 Jan Ambjørn , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz , Dániel Németh

Causal Dynamical Triangulations (CDT) is a lattice theory of quantum gravity. It is shown how to identify the IR and the UV limits of this lattice theory with similar limits studied using the continuum, functional renormalization group…

High Energy Physics - Lattice · Physics 2025-09-26 Jan Ambjorn , Jakub Gizbert-Studnicki , Andrzej Goerlich , Daniel Nemeth

We search for a continuum limit in the causal dynamical triangulation (CDT) approach to quantum gravity by determining the change in lattice spacing using two independent methods. The two methods yield similar results that may indicate how…

High Energy Physics - Theory · Physics 2016-05-25 Jan Ambjorn , Daniel Coumbe , Jakub Gizbert-Studnicki , Jerzy Jurkiewicz

We advocate lattice methods as the tool of choice to constructively define a background-independent theory of Lorentzian quantum gravity and explore its physical properties in the Planckian regime. The formulation that arguably has most…

High Energy Physics - Lattice · Physics 2011-05-30 J. Ambjorn , J. Jurkiewicz , R. Loll

We describe the motivation behind the recent formulation of a nonperturbative path integral for Lorentzian quantum gravity defined through Causal Dynamical Triangulations (CDT). In the case of two dimensions the model is analytically…

High Energy Physics - Theory · Physics 2007-05-23 S. Zohren

The four dimensional Causal Dynamical Triangulations (CDT) approach to quantum gravity is already more than ten years old theory with numerous unprecedented predictions such as non-trivial phase structure of gravitational field and…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Jakub Mielczarek

Causal Dynamical Triangulations (CDT) is a lattice theory where aspects of quantum gravity can be studied. Two-dimensional CDT can be solved analytically and the continuum (quantum) Hamiltonian obtained. In this article we show that this…

High Energy Physics - Theory · Physics 2015-06-15 Jan Ambjorn , Lisa Glaser , Yuki Sato , Yoshiyuki Watabiki

Causal dynamical triangulations (CDT) can be used as a regularization of quantum gravity. In two dimensions the theory can be solved anlytically, even before the cut-off is removed and one can study in detail how to take the continuum…

High Energy Physics - Theory · Physics 2014-11-20 J. Ambjorn , R. Loll , Y. Watabiki , W. Westra , S. Zohren
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