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相关论文: IR and UV limits of CDT and their relations to FRG

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"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…

高能物理 - 理论 · 物理学 2015-06-15 J. Ambjorn , A. Goerlich , J. Jurkiewicz , 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…

高能物理 - 格点 · 物理学 2025-09-26 Jan Ambjørn , Jakub Gizbert-Studnicki , Andrzej Gőrlich , Dániel Németh

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…

高能物理 - 理论 · 物理学 2015-06-15 J. Ambjorn , A. Ipsen

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…

高能物理 - 理论 · 物理学 2011-12-01 J. Ambjorn , S. Jordan , J. Jurkiewicz , R. Loll

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…

高能物理 - 理论 · 物理学 2020-01-08 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…

高能物理 - 理论 · 物理学 2026-04-08 J. Ambjørn , R. Loll

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…

高能物理 - 理论 · 物理学 2017-04-04 Jakub Gizbert-Studnicki

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…

高能物理 - 理论 · 物理学 2010-07-16 J. Ambjorn , A. Goerlich , J. Jurkiewicz , 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,…

高能物理 - 理论 · 物理学 2023-01-18 Jakub Gizbert-Studnicki

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…

高能物理 - 理论 · 物理学 2020-03-19 J. Ambjorn , D. Coumbe , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz

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…

高能物理 - 理论 · 物理学 2015-06-15 Jan Ambjorn , Lisa Glaser , Yuki Sato , Yoshiyuki Watabiki

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…

高能物理 - 理论 · 物理学 2016-05-25 Jan Ambjorn , Daniel Coumbe , Jakub Gizbert-Studnicki , Jerzy Jurkiewicz

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…

高能物理 - 理论 · 物理学 2019-12-03 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…

高能物理 - 理论 · 物理学 2012-06-25 J. Ambjorn , S. Jordan , J. Jurkiewicz , R. Loll

The two-dimensional causal dynamical triangulations ($2$d CDT) is a lattice model of quantum geometry. In $2$d CDT, one can deal with the quantum effects analytically and explore the physics through the continuum limit. The continuum theory…

高能物理 - 理论 · 物理学 2025-06-02 Yuki Sato

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…

广义相对论与量子宇宙学 · 物理学 2015-12-31 Jakub Mielczarek

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…

高能物理 - 理论 · 物理学 2015-02-13 J. Ambjorn , A. Goerlich , J. Jurkiewicz , A. Kreienbuehl , R. Loll

This article is an overview of the use of so-called Euclidean Dynamical Triangulations (EDT) and Causal Dynamical Triangulations (CDT) as lattice regularizations of quantum gravity. The lattice regularizations have been very successful in…

高能物理 - 格点 · 物理学 2023-06-28 Jan Ambjorn

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…

高能物理 - 理论 · 物理学 2014-11-20 J. Ambjorn , R. Loll , Y. Watabiki , W. Westra , S. Zohren

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…

广义相对论与量子宇宙学 · 物理学 2021-03-30 J. Ambjorn , Z. Drogosz , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz , D. Nèmeth
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