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We study the non-perturbative renormalization group flow of f(R)-gravity in three-dimensional Asymptotically Safe Quantum Einstein Gravity. Within the conformally reduced approximation, we derive an exact partial differential equation…

High Energy Physics - Theory · Physics 2013-02-07 Maximilian Demmel , Frank Saueressig , Omar Zanusso

In this thesis we investigate various fundamental aspects of asymptotically safe quantum gravity, in particular the compatibility of Asymptotic Safety with the requirements for background independence and unitarity. The first part contains…

High Energy Physics - Theory · Physics 2017-01-31 Andreas Nink

In recent years it has emerged that the high energy behavior of gravity could be governed by an ultraviolet non-Gaussian fixed point of the (dimensionless) Newton's constant, whose behavior at high energy is thus {\it antiscreened}. This…

High Energy Physics - Theory · Physics 2011-08-17 Alfio Bonanno

There are deep analogies between Einstein's theory of gravity and the nonlinear sigma models. It is suggested that these similarities may extend also to the ultraviolet behaviour, in the sense that both theories could turn out to be…

High Energy Physics - Theory · Physics 2011-08-17 R. Percacci

Recent work has revealed that extremal Kerr black holes may exhibit a sensitivity to higher-derivative corrections to Einstein's equations, displaying singularities in the tidal forces at the horizon. However, in a purely gravitational…

High Energy Physics - Theory · Physics 2025-09-10 Francesco Del Porro , Francesco Ferrarin , Alessia Platania

We show that, by using amplitude-based resummation techniques for Feynman's formulation of Einstein's theory, we get quantum field theoretic 'first principles' predictions for the UV fixed-point values of the dimensionless gravitational and…

General Relativity and Quantum Cosmology · Physics 2009-10-13 B. F. L. Ward

We review and extend in several directions recent results on the asymptotic safety approach to quantum gravity. The central issue in this approach is the search of a Fixed Point having suitable properties, and the tool that is used is a…

High Energy Physics - Theory · Physics 2013-08-28 Alessandro Codello , Roberto Percacci , Christoph Rahmede

Theories with massive gravitons are interesting for a variety of physical applications, ranging from cosmological phenomena to holographic modeling of condensed matter systems. To date, they have been formulated as effective field theories…

High Energy Physics - Theory · Physics 2015-06-23 Diego Blas , Sergey Sibiryakov

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

In this letter, we consider effective field theories for light fields transforming under the fundamental or adjoint representation of a continuous group. We demonstrate that in the presence of gravity, crossing symmetry combined with two…

High Energy Physics - Theory · Physics 2026-02-11 Aaron Hillman , Yu-tin Huang , Laurentiu Rodina , Justinas Rumbutis

We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of renormalizable couplings. The scaling potential takes a…

High Energy Physics - Theory · Physics 2020-12-01 C. Wetterich

Asymptotic safety is a candidate for a predictive quantum theory of gravity and matter. Recent works (arXiv:2412.10194 and arXiv:2412.14108) challenged this scenario. We show that their arguments fail on a basic level.

High Energy Physics - Theory · Physics 2025-04-17 Aaron Held , Benjamin Knorr , Jan M. Pawlowski , Alessia Platania , Manuel Reichert , Frank Saueressig , Marc Schiffer

We investigate a family of four-dimensional quantum field theories with weakly interacting ultraviolet fixed points up to four loop order in perturbation theory. Key new ingredients are the three loop gauge contributions to quartic scalar…

High Energy Physics - Theory · Physics 2023-09-26 Daniel F. Litim , Nahzaan Riyaz , Emmanuel Stamou , Tom Steudtner

Virtual gravitons effects at the LHC in scenarios with large extra dimensions and low-scale gravity are sensitive to the ultraviolet completion of the Kaluza-Klein effective theory. We study implications of a gravitational fixed point at…

High Energy Physics - Phenomenology · Physics 2007-10-17 Daniel F. Litim , Tilman Plehn

Using suitable Renormalization Group (RG) based re-summation of quantum corrections to $R^2$ term, a re-summed version of the effective Lagrangian can be obtained \cite{Demmel:2015oqa}. In the context of gravity as an Asymptotically Safe…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Phongpichit Channuie

Being interested in the compatibility of Asymptotic Safety with Hilbert space positivity (unitarity), we consider a local truncation of the functional RG flow which describes quantum gravity in $d>2$ dimensions and construct its limit of…

High Energy Physics - Theory · Physics 2016-03-09 Andreas Nink , Martin Reuter

In this contribution, we discuss the asymptotic safety scenario for quantum gravity by evaluating the correlation functions of dynamical metric fluctuations. This is done with a functional renormalisation group approach that disentangles…

High Energy Physics - Theory · Physics 2023-09-20 Jan M. Pawlowski , Manuel Reichert

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

In this work we investigate the ultraviolet behavior of Euclidean four-derivative quantum gravity beyond perturbation theory. In addition to a perturbative fixed point, we find an ultraviolet fixed point that is non-trivial in all couplings…

High Energy Physics - Theory · Physics 2016-12-20 Nicolai Christiansen

We summarize the fall-off of electromagnetic and gravitational fields in n>5 dimensional Ricci-flat spacetimes along an asympotically expanding non-singular geodesic null congruence.

General Relativity and Quantum Cosmology · Physics 2015-05-20 Marcello Ortaggio , Alena Pravdová
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