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Two kinds of statistical properties of dynamical-triangulated manifolds (DT mfds) have been investigated. First, the surfaces appearing on the boundaries of 3D DT mfds were investigated. The string-susceptibility exponent of the boundary…

High Energy Physics - Lattice · Physics 2009-10-30 H. S. Egawa , N. Tsuda , T. Yukawa

No theory of four-dimensional quantum gravity exists as yet. In this situation the two-dimensional theory, which can be analyzed by conventional field-theoretical methods, can serve as a toy model for studying some aspects of quantum…

High Energy Physics - Theory · Physics 2015-06-26 J. Ambjorn , J. L. Nielsen , J. Rolf , R. Loll

A full quantum description of global vortex strings is presented in the framework of a pure Higgs system with a broken global U(1) symmetry in 3+1D. An explicit expression for the string creation operator is obtained, both in terms of the…

High Energy Physics - Theory · Physics 2009-10-31 H. Fort , E. Marino

Since the early days of search for a quantum theory of gravity the attempts have been mostly concentrated on the quantization of an otherwise classical system. The two most contentious candidate theories of gravity, sting theory and quantum…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Houri Ziaeepour

We study the (newtonian) gravitational force distribution arising from a fractal set of sources. We show that, in the case of real structures in finite samples, an important role is played by morphological properties and finite size…

Astrophysics · Physics 2019-08-17 A. Gabrielli , F. Sylos Labini , S. Pellegrini

The aim of this review article is to give a comprehensive description of the scaling properties detected for the distribution of cosmic structures. Due to the great variety of statistical methods to describe the large-scale structure of the…

Astrophysics · Physics 2008-11-26 Stefano Borgani

The aim of this article is to provide an introduction to the use of quantum information methods for investigating the interface between quantum theory and gravity. To this end, we discuss the basic principles of two current research streams…

Quantum Physics · Physics 2025-12-24 Bruna Sahdo , Natália Salomé Móller

The model of Lorentzian three-dimensional dynamical triangulations provides a non-perturbative definition of three-dimensional quantum gravity. The theory has two phases: a weak-coupling phase with quantum fluctuations around a…

High Energy Physics - Lattice · Physics 2009-11-07 J. Ambjorn , J. Jurkiewicz , R. Loll

In the framework of causal perturbation theory we consider a massive scalar field coupled to gravity. In the field theoretic approach to quantum gravity (QG) we start with a massless second rank tensor field. This tensor field is then…

High Energy Physics - Theory · Physics 2009-11-07 M. Wellmann

We investigate the nature of a gravitational two-state system (G2S) in the simplest setup in Newtonian gravity. In a quantum description of matter a single motionless massive particle can in principle be in a superposition state of two…

Quantum Physics · Physics 2015-08-26 Charis Anastopoulos , Bei-Lok Hu

Two of us (CM and VV) recently showed how the quantum character of a physical system, in particular the gravitational field, can in principle be witnessed without directly measuring observables of that system, solely by its ability to…

Quantum Physics · Physics 2018-08-29 C. Marletto , V. Vedral , D. Deutsch

The paper concerns the fictitious entanglement of the so-called ``singularities'' in problems, pertaining to quantum gravity, due, in point of fact, to the way we try to employ, in that context, differential geometry, the latter being…

General Physics · Physics 2007-05-23 Anastasios Mallios

The quantum gravity problem of N point particles interacting with the gravitational field in 2+1 dimensions is approached working out the phase-space functional integral. The maximally slicing gauge is adopted for a non compact open…

High Energy Physics - Theory · Physics 2017-08-23 Luigi Cantini , Pietro Menotti

General ideas of gauge/gravity duality allow for the possibility of time dependent solutions that interpolate between a perturbative gauge theory phase and a weakly curved string/gravity phase. Such a scenario applied to cosmology would…

High Energy Physics - Theory · Physics 2007-05-23 Eric G. Novak

Local observation is an important problem both for the foundations of a quantum theory of gravity and for applications to quantum-cosmological problems such as eternal inflation. While gauge invariant local observables can't be defined, it…

High Energy Physics - Theory · Physics 2008-11-26 Michael Gary , Steven B. Giddings

Cosmic structures at large scales represent the earliest and most extended form of matter condensation. In this lecture we review the application of the methods and concepts of modern statistical physics to these structures. This leads to a…

Astrophysics · Physics 2017-08-23 Luciano Pietronero , Francesco Sylos Labini

2D quantum gravity is the idea that a set of discretized surfaces (called map, a graph on a surface), equipped with a graph measure, converges in the large size limit (large number of faces) to a conformal field theory (CFT), and in the…

Mathematical Physics · Physics 2018-07-04 Séverin Charbonnier , Bertrand Eynard , François David

We show that universal functions play an important role in the observation of the fractal structure of space--time in the numerical simulation of quantum gravity.

High Energy Physics - Theory · Physics 2007-05-23 Yoshiyuki Watabiki

Using computer simulations we study the geometry of a typical quantum universe, i.e. the geometry one might expect before a possible period of inflation. We display it using coordinates defined by means of four classical scalar fields…

General Relativity and Quantum Cosmology · Physics 2021-09-01 J. Ambjorn , Z. Drogosz , J. Gizbert-Studnicki , A. Görlich , J. Jurkiewicz , D. Németh

We study a system of two pointlike particles coupled to three dimensional Einstein gravity. The reduced phase space can be considered as a deformed version of the phase space of two special-relativistic point particles in the centre of mass…

General Relativity and Quantum Cosmology · Physics 2010-05-28 Jorma Louko , Hans-Juergen Matschull