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The nonperturbative renormalization group flow of Quantum Einstein Gravity (QEG) is reviewed. It is argued that at large distances there could be strong renormalization effects, including a scale dependence of Newton's constant, which mimic…

High Energy Physics - Theory · Physics 2008-11-26 M. Reuter , H. Weyer

In grand unified theories with large numbers of fields, renormalization effects significantly modify the scale at which quantum gravity becomes strong. This in turn can modify the boundary conditions for coupling constant unification, if…

High Energy Physics - Phenomenology · Physics 2009-02-02 Xavier Calmet , Stephen D. H. Hsu , David Reeb

It is well known that Einstein gravity is non-renormalizable; however this does not preclude the existence of a quantum form.

General Relativity and Quantum Cosmology · Physics 2007-11-15 A. Y. Shiekh

In this work we use the framework of effective field theory to couple Einstein's gravity to scalar electrodynamics and determine the renormalization of the model through the study of physical processes below Planck scale, a realm where…

High Energy Physics - Theory · Physics 2016-04-14 L. Ibiapina Bevilaqua , A. C. Lehum , A. J. da Silva

A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is defined a priori. This has potentially…

High Energy Physics - Theory · Physics 2020-02-06 J. Ambjorn , J. Gizbert-Studnicki , A. Goerlich , J. Jurkiewicz , R. Loll

We present a short and intuitive argument explaining why gravity is non-renormalizable. The argument is based on black-hole domination of the high energy spectrum of gravity and not on the standard perturbative irrelevance of the…

High Energy Physics - Theory · Physics 2007-12-03 Assaf Shomer

The canonical approach to quantum gravity has been put on a firm mathematical foundation in the recent decades. Even the quantum dynamics can be rigorously defined, however, due to the tremendously non-polynomial character of the…

General Relativity and Quantum Cosmology · Physics 2020-03-31 Thomas Thiemann

Affine quantization is a parallel procedure to canonical quantization, which is ideally suited to deal with non-renormalizable scalar models as well as quantum gravity. The basic applications of this approach lead to the common goals of any…

General Relativity and Quantum Cosmology · Physics 2020-06-17 John R. Klauder

Quantum gravity is analyzed from the viewpoint of the renormalization group. The analysis is based on methods introduced by J. Polchinski concerning the perturbative renormalization with flow equations. In the first part of this work, the…

High Energy Physics - Theory · Physics 2007-05-23 Falk Neugebohrn

We review recent progress with the understanding of quantum fields, including ideas how gravity might turn out to be a renormalizable theory after all.

High Energy Physics - Theory · Physics 2015-05-13 Dirk Kreimer

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…

General Relativity and Quantum Cosmology · Physics 2011-03-04 Reiner Hedrich

Motivated by the conjecture that the cosmological constant problem could be solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a…

High Energy Physics - Theory · Physics 2009-11-07 M. Reuter , F. Saueressig

Strictly respecting the Einstein equations and supposing space-time is a medium, we derive the deformation of this medium by gravity. We derive the deformation in case of infinite plane, Robertson-Walker manifold, Schwarzschild manifold and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Miroslav Pardy

A one-parameter deformation of Einstein?Hilbert gravity with an inverse Riemann curvature term is derived as the classical limit of quantum gravity compatible with an accelerating universe. This result is based on the investigation of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Frederic P. Schuller , Mattias N. R. Wohlfarth

Unimodular gravity is classically equivalent to standard Einstein gravity, but differs when it comes to the quantum theory: The conformal factor is non-dynamical, and the gauge symmetry consists of transverse diffeomorphisms only.…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Astrid Eichhorn

A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the…

General Relativity and Quantum Cosmology · Physics 2011-09-30 J. Hwang

Renormalization procedure is generalized to be applicable for non renormalizable theories. It is shown that introduction of an extra expansion parameter allows to get rid of divergences and express physical quantities as series of finite…

High Energy Physics - Theory · Physics 2008-02-03 J. Gegelia , G. Japaridze , N. Kiknadze , K. Turashvili

The functional renormalisation group for the Einstein-Hilbert action is investigated for the case of four infinite (or large) and one compact dimension. The motivation for this study is given by the suggestion that gravity in more than four…

General Relativity and Quantum Cosmology · Physics 2018-10-01 Natalia Alkofer

Corrections are computed to the classical static isotropic solution of general relativity, arising from non-perturbative quantum gravity effects. A slow rise of the effective gravitational coupling with distance is shown to involve a…

High Energy Physics - Theory · Physics 2008-11-26 Herbert W. Hamber , Ruth M. Williams

The nonperturbative renormalization group flow of Quantum Einstein Gravity (QEG) is reviewed. It is argued that there could be strong renormalization effects at large distances, in particular a scale dependent Newton constant, which mimic…

Astrophysics · Physics 2007-05-23 M. Reuter , H. Weyer