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Asymptotic Safety implies that observables including scattering amplitudes remain finite at the highest energy scales. Traditionally, this feature is connected to an interacting fixed point of the Wilsonian renormalization group that…

High Energy Physics - Theory · Physics 2022-10-31 Benjamin Knorr , Chris Ripken , Frank Saueressig

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

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

Asymptotic Safety, based on a non-Gaussian fixed point of the gravitational renormalization group flow, provides an elegant mechanism for completing the gravitational force at sub-Planckian scales. At high energies the fixed point controls…

High Energy Physics - Theory · Physics 2017-06-28 Alfio Bonanno , Frank Saueressig

The asymptotic safety scenario in gravity is accessed within the systematic vertex expansion scheme for functional renormalisation group flows put forward in \cite{Christiansen:2012rx,Christiansen:2014raa}, and implemented in…

High Energy Physics - Theory · Physics 2018-05-30 Tobias Denz , Jan M. Pawlowski , Manuel Reichert

We compute the asymptotic safety landscape stemming from ultraviolet-complete photon-graviton flows in a field theoretic setup, and we confront it with the weak gravity conjecture and, for the first time, with positivity bounds. At fourth…

High Energy Physics - Theory · Physics 2024-08-13 Benjamin Knorr , Alessia Platania

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

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

Combining asymptotically safe quantum gravity with a tensor field theory, we exhibit the first example of a theory with gravity and scalar fields in four dimensions which may realize asymptotic safety at a non-vanishing value of the scalar…

High Energy Physics - Theory · Physics 2025-01-20 Astrid Eichhorn , Razvan Gurau , Zois Gyftopoulos

These lecture notes introduce the basic ideas of the Asymptotic Safety approach to Quantum Einstein Gravity (QEG). In particular they provide the background for recent work on the possibly multifractal structure of the QEG space-times.…

High Energy Physics - Theory · Physics 2015-06-05 Martin Reuter , Frank Saueressig

Application of the Weinberg's conditions of asymptotic safety to amplitudes and not to couplings of the effective action can help to uniquely define the running in the UV and avoid some of the asymptotic safety program problems. The idea is…

High Energy Physics - Theory · Physics 2021-02-17 Jan H. Kwapisz , Krzysztof A. Meissner

There seems to be a common prejudice that asymptotic safety is either incompatible with, or at best unrelated to, the other topics in the title. This is not the case. In fact, we show that 1) the existence of a fixed point with suitable…

High Energy Physics - Theory · Physics 2011-01-13 R. Percacci , G. P. Vacca

Asymptotically safe quantum gravity is a promising candidate scenario to provide a UV extension for the effective quantum field theory of Einstein's gravity. The theory has its foundations on the very successful framework of quantum field…

High Energy Astrophysical Phenomena · Physics 2021-01-27 Biao Zhou , Askar B. Abdikamalov , Dimitry Ayzenberg , Cosimo Bambi , Sourabh Nampalliwar , Ashutosh Tripathi

Weinberg's asymptotic safety scenario provides an elegant mechanism to construct a quantum theory of gravity within the framework of quantum field theory based on a non-Gau{\ss}ian fixed point of the renormalization group flow. In this work…

High Energy Physics - Theory · Physics 2016-06-01 Holger Gies , Benjamin Knorr , Stefan Lippoldt , Frank Saueressig

The gravitational asymptotic safety program envisions a high-energy completion of the gravitational interactions by an interacting renormalization group fixed point, the Reuter fixed point. The primary tool for investigating this scenario…

High Energy Physics - Theory · Physics 2023-03-01 Frank Saueressig

We investigate the asymptotic safety conjecture for quantum gravity including curvature invariants beyond Ricci scalars. Our strategy is put to work for families of gravitational actions which depend on functions of the Ricci scalar, the…

High Energy Physics - Theory · Physics 2018-04-18 Kevin G. Falls , Callum R. King , Daniel F. Litim , Kostas Nikolakopoulos , Christoph Rahmede

Asymptotically safe theories of gravitation have received great attention in recent times. In this framework an effective action embodying the basic features of the renormalized flow around the non-gaussian fixed point is derived and its…

High Energy Physics - Theory · Physics 2015-06-04 Alfio Bonanno

Asymptotic Safety (AS) Paradigm is an interesting set of ideas and methods towards a meaningful quantization of Gravity. A brief review of phenomenological consequences in the context of AS regarding cosmology with emphasis on dark energy…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Vasilios Zarikas

According to the asymptotic-safety conjecture, the gravitational renormalization group flow features an ultraviolet-attractive fixed point that makes the theory renormalizable and ultraviolet complete. The existence of this fixed point…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Alessia Platania

In the asymptotic-safety scenario for gravity, nonzero interactions are present in the ultraviolet. This property should also percolate into the matter sector. Symmetry- based arguments suggest that nonminimal derivative interactions of…

High Energy Physics - Theory · Physics 2018-06-29 Astrid Eichhorn , Stefan Lippoldt , Vedran Skrinjar