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I review the lattice approach to quantum gravity, and how it relates to the non-trivial ultraviolet fixed point scenario of the continuum theory. After a brief introduction covering the general problem of ultraviolet divergences in gravity…

广义相对论与量子宇宙学 · 物理学 2009-04-17 Herbert W. Hamber

We hereby present a class of multidimensional higher derivative theories of gravity that realizes an ultraviolet completion of Einstein general relativity. This class is marked by a "non-polynomal" entire function (form factor), which…

高能物理 - 理论 · 物理学 2013-05-30 Leonardo Modesto

A mechanism for suppressing the cosmological constant is developed, based on an analogy with a superconducting phaseshift in which free fermions coupled perturbatively to a weak gravitational field are in an unstable false vacuum state. The…

高能物理 - 理论 · 物理学 2007-05-23 Stephon Alexander , Manasse Mbonye , John Moffat

These notes are a didactic overview of the non perturbative and background independent approach to a quantum theory of gravity known as loop quantum gravity. The definition of real connection variables for general relativity, used as a…

广义相对论与量子宇宙学 · 物理学 2009-09-29 Alejandro Perez

We describe a deformation of the observable algebra of quantum gravity in which the loop algebra is extended to framed loops. This allows an alternative nonperturbative quantization which is suitable for describing a phase of quantum…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Seth Major , Lee Smolin

We discuss the issue of the cosmological constant in non-commutative non-supersymmetric gauge theories. In particular, in orbifold field theories non-commutativity acts as a UV cut-off. We suggest that in these theories quantum corrections…

高能物理 - 理论 · 物理学 2009-11-07 Adi Armoni , Rodolfo Russo

The cosmological constant problem is one of the greatest challenges in contemporary physics, since it is deeply rooted in the problematic interplay between quantum fields and gravity. The aim of this work is to review the key conceptual…

广义相对论与量子宇宙学 · 物理学 2025-04-23 Federico Scali

In a recent proposal using the group field theory approach, a spatially homogeneous (generally anisotropic) universe is described as a quantum gravity condensate of "atoms of space," which allows the derivation of an effective cosmological…

广义相对论与量子宇宙学 · 物理学 2015-02-23 Steffen Gielen

Recently a scale invariant theory of gravity was constructed by imposing a conformal symmetry on general relativity. The imposition of this symmetry changed the configuration space from superspace - the space of all Riemannian 3-metrics…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Bryan Kelleher

We highlight the fact that the lack of scale invariance in the gravitational field equations of General Relativity results from the underlying assumption that the appropriate scale for the gravitational force should be linked to the atomic…

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

This article aims at discussing the cosmological constant problem at a pedagogical but fully technical level. We review how the vacuum energy can be regularized in flat and curved space-time and how it can be understood in terms of Feynman…

宇宙学与河外天体物理 · 物理学 2015-06-05 Jerome Martin

We study the quantum cosmology of a flat Friedmann-Lema\^{i}tre-Robertson-Walker universe filled with a (free) massless scalar field and a perfect fluid that represents radiation or a cosmological constant whose value is not fixed by the…

广义相对论与量子宇宙学 · 物理学 2020-10-01 Steffen Gielen , Lucía Menéndez-Pidal

We consider three dimensional gravity with a positive cosmological constant and non- zero gravitational Chern-Simons term. This theory has inflating de Sitter solutions and local metric degrees of freedom. The Euclidean signature partition…

高能物理 - 理论 · 物理学 2011-11-23 Alejandra Castro , Nima Lashkari , Alexander Maloney

A new approach to quantum gravity is presented based on a nonlinear quantization scheme for canonical field theories with an implicitly defined Hamiltonian. The constant mean curvature foliation is employed to eliminate the momentum…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Charles H-T Wang

Is there an approach to quantum gravity which is conceptually simple, relies on very few fundamental physical principles and ingredients, emphasizes geometric (as opposed to algebraic) properties, comes with a definite numerical…

广义相对论与量子宇宙学 · 物理学 2008-11-26 R. Loll

We study a type of geometric theory with a non-dynamical one-form field. Its dynamical variables are an $su(2)$ gauge field and a triad of $su(2)$ valued one-forms. Hamiltonian decomposition reveals that the theory has a true Hamiltonian,…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Jack Gegenberg , Viqar Husain

We consider the quantum gravitational back-reaction on an initially inflating, homogeneous and isotropic universe whose topology is $T^3 \times \Re$. Although there is no secular effect at one loop, an explicit calculation shows that…

高能物理 - 唯象学 · 物理学 2008-11-26 N. C. Tsamis , R. P. Woodard

In seeking to arrive at a theory of ``quantum gravity'', one faces several choices among alternative approaches. I list some of these ``forks in the road'' and offer reasons for taking one alternative over the other. In particular, I…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Rafael D. Sorkin

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

A set of diverse but mutually consistent results obtained in different settings has spawned a new view of loop quantum gravity and its physical implications, based on the interplay of operator calculations and effective theory: Quantum…

广义相对论与量子宇宙学 · 物理学 2012-12-27 Martin Bojowald