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相关论文: Landau Theory of Causal Dynamical Triangulations

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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) 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

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 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

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…

高能物理 - 理论 · 物理学 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…

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

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) is a non-perturbative quantisation of general relativity. Ho\v{r}ava-Lifshitz gravity on the other hand modifies general relativity to allow for perturbative quan- tisation. Past work has given rise to…

高能物理 - 理论 · 物理学 2016-09-14 Lisa Glaser , Thomas P. Sotiriou , Silke Weinfurtner

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…

高能物理 - 理论 · 物理学 2024-01-18 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

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

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

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

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

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

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…

广义相对论与量子宇宙学 · 物理学 2013-05-30 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

Motivated by the search for new observables in nonperturbative quantum gravity, we consider Causal Dynamical Triangulations (CDT) in 2+1 dimensions with the spatial topology of a torus. This system is of particular interest, because one can…

高能物理 - 理论 · 物理学 2013-07-11 T. G. Budd , R. Loll

Generalized causal dynamical triangulations (generalized CDT) is a model of two-dimensional quantum gravity in which a limited number of spatial topology changes is allowed to occur. We solve the model at the discretized level using…

高能物理 - 理论 · 物理学 2013-07-22 Jan Ambjorn , Timothy G. Budd

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

It is shown that generalized CDT, the two-dimensional theory of quantum gravity, constructed as a scaling limit from so-called causal dynamical triangulations, can be obtained from a cubic matrix model. It involves taking a new scaling…

高能物理 - 理论 · 物理学 2011-06-01 Jan Ambjorn
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