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We introduce a new framework for loop quantum gravity: mimicking the spinfoam quantization procedure we propose to study the symmetric sectors of the theory imposing the reduction weakly on the full kinematical Hilbert space of the…

广义相对论与量子宇宙学 · 物理学 2015-06-12 Emanuele Alesci , Francesco Cianfrani

After a long technical and consequently philosophical disgression about the necessity of the construction presented in this book, a logically consistent and precise theory of quantum gravity is presented. The construction of this theory…

综合物理 · 物理学 2013-05-07 Johan Noldus

Work in progress is described which aims to construct a background independent formulation of M theory by extending results about background independent states and observables from quantum general relativity and supergravity to string…

高能物理 - 理论 · 物理学 2015-06-26 Lee Smolin

Loop quantum gravity is a mature theory. To proceed to explicit calculations in cosmology, it is necessary to make assumptions and simplifications based on the symmetries of the cosmological setting. Symmetry reduction is especially…

广义相对论与量子宇宙学 · 物理学 2016-08-03 Aurélien Barrau , Boris Bolliet

Common features of known quantum gravity theories may hint at the general nature of quantum gravity. The absence of continuous global symmetries is one such feature. This inspired the Weak Gravity Conjecture, which bounds masses of charged…

高能物理 - 理论 · 物理学 2016-11-15 Ben Heidenreich , Matthew Reece , Tom Rudelius

Conceptual consequences of recent results in loop quantum gravity are collected and discussed here in view of their implications for a modern philosophy of science which is mainly understood as one that totalizes scientific insight so as to…

综合物理 · 物理学 2007-05-23 Rainer E. Zimmermann

In this review, the fundamental structure of loop quantum gravity is presented pedagogically. Our main aim is to help non-experts to understand the motivations, basic structures, as well as general results. It may also be beneficial to…

广义相对论与量子宇宙学 · 物理学 2011-05-16 Muxin Han , Weiming Huang , Yongge Ma

This series of lectures gives a simple and self-contained introduction to the non-perturbative and background independent loop approach of canonical quantum gravity. The Hilbert space of kinematical quantum states is constructed and a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Marcus Gaul , Carlo Rovelli

This is the final fifth paper in our series of five in which we test the Master Constraint Programme for solving the Hamiltonian constraint in Loop Quantum Gravity. Here we consider interacting quantum field theories, specificlly we…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Bianca Dittrich , Thomas Thiemann

The derivation of effective quantum gravity corrections to Newton's potential is an important step in the whole effective quantum field theory approach. We hereby add new strong arguments in favor of omitting all the diagrams with internal…

高能物理 - 理论 · 物理学 2022-02-17 Tibério de Paula Netto , Leonardo Modesto , Ilya L. Shapiro

We apply the new quantization scheme outlined in Phys. Rev. D102 (2020) 125001 to explore the influence which quantum vacuum fluctuations of the spacetime metric exert on the universes of Quantum Einstein Gravity, which is regarded an…

高能物理 - 理论 · 物理学 2021-12-22 Maximilian Becker , Martin Reuter

Modified gravity has attracted much attention over the last few years and remains a potential candidate for dark energy. In particular, the so-called viable f(R) gravity theories, which are able to both recover General Relativity (GR) and…

广义相对论与量子宇宙学 · 物理学 2016-04-20 Alvaro de la Cruz-Dombriz , Peter K. S. Dunsby , Sulona Kandhai , Diego Saez-Gomez

Spin foam models, loop quantum gravity and group field theory are discussed as quantum gravity candidate theories and usually involve a continuous Lie group. We advocate here to consider quantum gravity inspired models with finite groups,…

广义相对论与量子宇宙学 · 物理学 2011-04-01 Benjamin Bahr , Bianca Dittrich , James P. Ryan

After a brief introduction to classical and quantum gravity we discuss applications of loop quantum gravity in the cosmological realm. This includes the basic formalism and recent results of loop quantum cosmology, and a computation of…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Martin Bojowald , Hugo A. Morales-Tecotl

We calculate the one-loop divergences for quantum gravity with cosmological constant, using new parametrization of quantum metric. The conformal factor of the metric is treated as an independent variable. As a result the theory possesses an…

广义相对论与量子宇宙学 · 物理学 2011-04-12 G. de Berredo-Peixoto , A. B. Penna-Firme , I. L. Shapiro

In a recent paper [1], it was introduced a new class of gravitational theories with two local degrees of freedom. The existence of these theories apparently challenges the distinctive role of general relativity as the unique non-linear…

广义相对论与量子宇宙学 · 物理学 2018-10-30 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

The problem of simulating complex quantum processes on classical computers gave rise to the field of quantum simulations. Quantum simulators solve problems, such as Boson sampling, where classical counterparts fail. In another field of…

A new representation for canonical gravity and supergravity is presented, which combines advantages of Ashtekar's and the Wheeler~DeWitt representation: it has a nice geometric structure and the singular metric problem is absent. A formal…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Hans-Juergen Matschull

We explicitly construct and characterize all possible independent loop states in 3+1 dimensional loop quantum gravity by regulating it on a 3-d regular lattice in the Hamiltonian formalism. These loop states, characterized by the (dual)…

广义相对论与量子宇宙学 · 物理学 2008-11-26 N. D. Hari Dass , Manu Mathur

We explore the extension of quantum cosmology outside the homogeneous approximation, using the formalism of loop quantum gravity. We introduce a model where some of the inhomogeneous degrees of freedom are present, providing a tool for…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Carlo Rovelli , Francesca Vidotto