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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 review some recent results from the causal dynamical triangulation (CDT) approach to quantum gravity. We review recent observations of dimensional reduction at a number of previously undetermined points in the parameter space of CDT, and…

General Relativity and Quantum Cosmology · Physics 2015-10-13 Jan Ambjorn , Daniel Coumbe , Jakub Gizbert-Studnicki , Jerzy Jurkiewicz

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 provide a non-perturbative regularization of a theory of quantum gravity. We describe how this approach connects with the asymptotic safety program and Ho\vrava-Lifshitz gravity theory, and present the most…

General Relativity and Quantum Cosmology · Physics 2013-05-30 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

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

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

The formalism of causal dynamical triangulations (CDT) provides us with a non-perturbatively defined model of quantum gravity, where the sum over histories includes only causal space-time histories. Path integrals of CDT and their continuum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Ambjorn , R. Loll , W. Westra , S. Zohren

"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

We discuss the algorithmic problem of minimal coupling gauge fields of the Yang-Mills type to Quantum Gravity in the approach known as Causal Dynamical Triangulations (CDT) as a step towards studying, ultimately, systems of gravity coupled…

High Energy Physics - Lattice · Physics 2021-12-08 Alessandro Candido , Giuseppe Clemente , Massimo D'Elia , Federico Rottoli

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

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

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…

High Energy Physics - Theory · Physics 2012-06-11 Max R. Atkin , Stefan Zohren

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

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 introduce a generalized version of the Causal Dynamical Triangulations (CDT) formulation of quantum gravity, in which the regularized, triangulated path integral histories retain their causal properties, but do not have a preferred…

High Energy Physics - Theory · Physics 2013-08-28 S. Jordan , R. Loll

The aim of the causal dynamical triangulations approach is to define nonperturbatively a quantum theory of gravity as the continuum limit of a lattice-regularized model of dynamical geometry. My aim in this paper is to give a concise yet…

General Relativity and Quantum Cosmology · Physics 2016-03-09 Joshua H. Cooperman

The Causal Dynamical Triangulation (CDT) approach to quantum gravity is a lattice approximation to the gravitational path integral. Developed by Ambj\o{}rn, Jurkiewicz and Loll, it has yielded some important results, notably the emergence…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Rajesh Kommu

Causal dynamical triangulations (CDT) constitute a background independent, nonperturbative approach to quantum gravity, in which the gravitational path integral is approximated by the weighted sum over causally well-behaving simplicial…

High Energy Physics - Theory · Physics 2011-02-24 T. Trzesniewski

The theory of causal dynamical triangulations (CDT) attempts to define a nonperturbative theory of quantum gravity as a sum over space-time geometries. One of the ingredients of the CDT framework is a global time foliation, which also plays…

High Energy Physics - Theory · Physics 2014-11-20 J. Ambjorn , A. Gorlich , S. Jordan , J. Jurkiewicz , R. Loll

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
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