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In a recent contribution we identified possible points of contact between the asymptotically safe and canonical approach to quantum gravity. The idea is to start from the reduced phase space (often called relational) formulation of…

High Energy Physics - Theory · Physics 2024-12-02 Renata Ferrero , Thomas Thiemann

We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in Quantum Einstein Gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the…

High Energy Physics - Theory · Physics 2015-06-04 Martin Reuter , Frank Saueressig

We study quantum modifications to cosmology in a Friedmann-Robertson-Walker universe with and without scalar fields by taking the renormalisation group running of gravitational and matter couplings into account. We exploit the Bianchi…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Mark Hindmarsh , Daniel Litim , Christoph Rahmede

A quantum ghost that destabilizes the Schwarzschild solution, transforming it into a naked singularity, may seem like a physicist's worst nightmare. However, we argue that this scenario represents the natural evolution of a black hole…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Alfio Bonanno , Samuele Silveravalle

In Weinberg's asymptotic safety approach, a finite dimensional critical surface for a UV stable fixed point generates a theory of quantum gravity with a finite number of physical parameters. We argue that, in an extension of Feynman's…

General Relativity and Quantum Cosmology · Physics 2010-12-14 B. F. L. Ward

For a general class of scalar--tensor gravity theories, we discuss how to recover asymptotic freedom regimes when cosmic time $t\to\pm\infty$. Such a feature means that the effective gravitational coupling $G_{eff}\to 0$, while cosmological…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , R. de Ritis , A. A. Marino

We study the short distance behaviour of euclidean quantum gravity in the light of Weinberg's asymptotic safety scenario. Implications of a non-trivial ultraviolet fixed point are reviewed. Based on an optimised renormalisation group, we…

High Energy Physics - Theory · Physics 2009-11-11 Daniel F. Litim

We use functional renormalization group methods to study gravity minimally coupled to a free scalar field. This setup provides the prototype of a gravitational theory which is perturbatively non-renormalizable at one-loop level, but may…

High Energy Physics - Theory · Physics 2009-10-06 Dario Benedetti , Pedro F. Machado , Frank Saueressig

The asymptotic safety program strives for a consistent description of gravity as a non-perturbatively renormalizable quantum field theory. In this framework the gravitational interactions are encoded in a renormalization group flow…

General Relativity and Quantum Cosmology · Physics 2019-01-08 Frank Saueressig , Giulia Gubitosi , Chris Ripken

Einsteinian cubic gravity is a higher-order gravitational theory in which the linearized field equations of motion match Einstein's equations on a maximally symmetric background. This theory allows the existence of a static and spherically…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Antonio De Felice , Shinji Tsujikawa

We review aspects of the interplay of asymptotically safe gravity with matter, focusing on the potential predictive power of the quantum scale-symmetry underlying the asymptotically safe fixed point. We explain how an asymptotically safe…

High Energy Physics - Theory · Physics 2019-07-12 Astrid Eichhorn , Aaron Held

The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalisation group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The…

High Energy Physics - Theory · Physics 2016-05-18 Kevin Falls , Daniel F. Litim , Konstantinos Nikolakopoulos , Christoph Rahmede

Asymptotic safety is a set of conditions, based on the existence of a nontrivial fixed point for the renormalization group flow, which would make a quantum field theory consistent up to arbitrarily high energies. After introducing the basic…

High Energy Physics - Theory · Physics 2008-11-18 R. Percacci

Within the Asymptotic Safety scenario, we discuss whether Quantum Einstein Gravity (QEG) can give rise to a semi-classical regime of propagating physical gravitons (gravitational waves) governed by an effective theory which complies with…

High Energy Physics - Theory · Physics 2015-06-22 Daniel Becker , Martin Reuter

The asymptotic safety program builds on a high-energy completion of gravity based on the Reuter fixed point, a non-trivial fixed point of the gravitational renormalization group flow. At this fixed point the canonical mass-dimension of…

High Energy Physics - Theory · Physics 2024-12-03 Aleksandr Kurov , Frank Saueressig

We investigate the ultraviolet behaviour of quantum gravity within a functional renormalisation group approach. The present setup includes the full ghost and graviton propagators and, for the first time, the dynamical graviton three-point…

High Energy Physics - Theory · Physics 2016-05-23 Nicolai Christiansen , Benjamin Knorr , Jan Meibohm , Jan M. Pawlowski , Manuel Reichert

We analyze the conceptual role of background independence in the application of the effective average action to quantum gravity. Insisting on a background independent renormalization group (RG) flow the coarse graining operation must be…

High Energy Physics - Theory · Physics 2009-10-29 Martin Reuter , Holger Weyer

This thesis is devoted to exploring various fundamental issues within asymptotic safety. Firstly, we study the reconstruction problem and present two ways in which to solve it within the context of scalar field theory, by utilising a…

High Energy Physics - Theory · Physics 2018-12-19 Zoë H. Slade

The effective potential of the conformal factor in the effective average action approach to Quantum Einstein Gravity is discussed. It is shown, without invoking any truncation or other approximations, that if the theory has has a…

High Energy Physics - Theory · Physics 2011-08-17 Jan-Eric Daum , Martin Reuter

We study the non-perturbative renormalisation of quantum gravity in four dimensions. Taking care to disentangle physical degrees of freedom, we observe the topological nature of conformal fluctuations arising from the functional measure.…

High Energy Physics - Theory · Physics 2016-04-27 Kevin Falls
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