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These notes summarise a talk surveying the combinatorial or Hamiltonian quantisation of three dimensional gravity in the Chern-Simons formulation, with an emphasis on the role of quantum groups and on the way the various physical constants…

广义相对论与量子宇宙学 · 物理学 2011-05-20 Bernd J Schroers

A nonlocal quantum gravity theory is presented which is finite and unitary to all orders of perturbation theory. Vertex form factors in Feynman diagrams involving gravitons suppress graviton and matter vacuum fluctuation loops by…

高能物理 - 理论 · 物理学 2007-05-23 J. W. Moffat

It is well known that gravity in 2+1 dimensions can be recast as Chern-Simons theory, with the gauge group given by the local isometry group, depending on the metric signature and the cosmological constant. Point particles are added into…

高能物理 - 理论 · 物理学 2023-06-16 Tomasz Trześniewski

The quantum theory of the spherically symmetric gravity in 3+1 dimensions is investigated. The functional measures are explicitly evaluated and the physical state conditions are derived by using the technique developed in two dimensional…

高能物理 - 理论 · 物理学 2007-05-23 Ken-ji Hamada , Asato Tsuchiya

We consider a higher dimensional gravity theory with a negative kinetic energy scalar field and a cosmological constant. We find that the theory admits an exact cosmological solution for the scale factor of our universe. It has the feature…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. T. Hong , J. Lee , T. H. Lee , P. OH

We discuss some general properties of quantum gravity in De Sitter space. It has been argued that the Hilbert space is of finite dimension. This suggests a macroscopic argument that General Relativity cannot be quantized -- unless it is…

高能物理 - 理论 · 物理学 2007-05-23 Edward Witten

The Kodama State is unique in being an exact solution to all the ordinary constraints of canonical quantum gravity that also has a well defined semi-classical interpretation as a quantum version of a classical spacetime, namely (anti)de…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Andrew Randono

We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one deduces predictions from them, at a level…

高能物理 - 理论 · 物理学 2017-08-23 Lee Smolin

Quantum gravity effects are traditionally tied to short distances and high energies. In this essay we argue that, perhaps surprisingly, quantum gravity may have important consequences for the phenomenology of the infrared. We center our…

广义相对论与量子宇宙学 · 物理学 2022-05-19 Laurent Freidel , Jerzy Kowalski-Glikman , Robert G. Leigh , Djordje Minic

The mutual conceptual incompatibility between GR and QM/QFT is generally seen as the most essential motivation for the development of a theory of Quantum Gravity (QG). It leads to the insight that, if gravity is a fundamental interaction…

广义相对论与量子宇宙学 · 物理学 2011-03-04 Reiner Hedrich

We use the idea of the symmetry between the spacetime coordinates x^\mu and the energy-momentum p^\mu in quantum theory to construct a momentum space quantum gravity geometry with a metric s_{\mu\nu} and a curvature P^\lambda_{\mu\nu\rho}.…

广义相对论与量子宇宙学 · 物理学 2016-03-08 J. W. Moffat

We outline, test, and apply a new scheme for nonpertubative analyses of quantized field systems in contact with dynamical gravity. While gravity is treated classically in the present paper, the approach lends itself for a generalization to…

广义相对论与量子宇宙学 · 物理学 2020-12-30 Maximilian Becker , Martin Reuter

We argue that the cosmological constant is exponentially suppressed in a candidate ground state of loop quantum gravity as a nonperturbative effect of a holographic Fermi-liquid theory living on a two-dimensional spacetime. Ashtekar…

高能物理 - 理论 · 物理学 2009-02-23 Stephon H. S. Alexander , Gianluca Calcagni

We present a solution to the cosmological constant, the zero-point energy, and the quantum gravity problems within a single comprehensive framework. We show that in quantum theories of gravity in which the zero-point energy density of the…

高能物理 - 理论 · 物理学 2011-02-23 Philip D. Mannheim

Realizing dark energy and the observed de Sitter spacetime in quantum gravity has proven to be obstructed in most every usual approach. We argue that additional degrees of freedom of the left- and right-movers in string theory and a…

广义相对论与量子宇宙学 · 物理学 2019-12-04 Per Berglund , Tristan Hubsch , Djordje Minic

This is an introduction to quantum gravity, aimed at a fairly general audience and concentrating on what have historically two main approaches to quantum gravity: the covariant and canonical programs (string theory is not covered). The…

广义相对论与量子宇宙学 · 物理学 2007-05-23 David Wallace

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical…

高能物理 - 理论 · 物理学 2015-06-12 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

Recent progress in table-top experiments offers the opportunity to show for the first time that gravity is not compatible with a classical description. In all current experimental proposals, such as the generation of gravitationally induced…

量子物理 · 物理学 2024-08-05 Lin-Qing Chen , Flaminia Giacomini

A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry. Regulated operators corresponding to areas of 2-surfaces…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Abhay Ashtekar , Jerzy Lewandowski

We construct a state in the loop quantum gravity theory with zero cosmological constant, which should correspond to the flat spacetime vacuum solution. This is done by defining the loop transform coefficients of a flat connection…

广义相对论与量子宇宙学 · 物理学 2009-01-16 A. Mikovic