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Ultraviolet fixed point functions of the functional renormalisation group equation for $f(R)$-gravity coupled to matter fields are discussed. The metric is split via the exponential parameterisation into a background and a fluctuating…

High Energy Physics - Theory · Physics 2019-01-09 Natalia Alkofer

Recent technical and conceptual advancements in the asymptotic safety approach to quantum gravity have enabled studies of the UV completion of Lorentzian Einstein gravity, emphasizing the role of the state dependence. We present here the…

High Energy Physics - Theory · Physics 2025-02-18 Edoardo D'Angelo , Renata Ferrero , Markus B. Fröb

We explain how asymptotic safety arises in four-dimensional supersymmetric gauge theories. We provide asymptotically safe supersymmetric gauge theories together with their superconformal fixed points, R-charges, phase diagrams, and UV-IR…

High Energy Physics - Theory · Physics 2018-01-09 Andrew D. Bond , Daniel F. Litim

We explore the renormalization group (RG) properties of quantum gravity, using the vielbein and the spin connection as the fundamental field variables. We require the effective action to be invariant under the semidirect product of…

High Energy Physics - Theory · Physics 2011-11-07 Jan-Eric Daum , Martin Reuter

Asymptotically safe quantum gravity predicts running gravitational and cosmological constants, while it remains a meaningful quantum field theory because of the existence of non-Gaussian ultraviolet fixed points. Here we have investigated…

General Relativity and Quantum Cosmology · Physics 2018-02-20 R. Moti , A. Shojai

Asymptotic Safety provides an elegant mechanism for obtaining a consistent high-energy completion of gravity and gravity-matter systems. Following the initial idea by Steven Weinberg, the construction builds on an interacting fixed point of…

High Energy Physics - Theory · Physics 2022-01-05 Cristobal Laporte , Antonio D. Pereira , Frank Saueressig , Jian Wang

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

The canonical (CQG) and asymptotically safe (ASQG) approach to quantum gravity share to be both non-perturbative programmes. However, apart from that they seem to differ in several aspects such as: 1. Signature: CQG is Lorentzian while ASQG…

High Energy Physics - Theory · Physics 2024-04-30 Thomas Thiemann

The field of asymptotically safe matter-gravity systems is maturing from the study of simple toy models to the exploration of sectors of the Standard Model and beyond. This status update reviews the current state of the art and points out…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Astrid Eichhorn

The Asymptotic Safety Hypothesis for gravity relies on the existence of an interacting fixed point of the Wilsonian renormalization group flow, which controls the microscopic dynamics, and provides a UV completion of the theory. Connecting…

High Energy Physics - Theory · Physics 2024-06-17 Agustín Silva

After motivating why the study of asymptotically flat spaces is important in loop quantum gravity, we review the extension of the standard framework of this theory to the asymptotically flat sector based on the GNS construction. In…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Matthias Arnsdorf

Asymptotic safety is a promising mechanism for obtaining a consistent and predictive quantum theory for gravity. The ADM formalism allows to introduce a (Euclidean) time-direction in this framework. It equips spacetime with a foliation…

High Energy Physics - Theory · Physics 2024-02-05 Guus Korver , Frank Saueressig , Jian Wang

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

Quantum gravity corrections to accretion onto a Schwarzschild black hole are considered in the context of asymptotically safe scenario. The possible positions of the critical points are discussed and the general conditions for critical…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Rong-Jia Yang

We highlight how the existence of an ultraviolet completion for interacting Standard-Model type matter puts constraints on the viable microscopic dynamics of asymptotically safe quantum gravity within truncated Renormalization Group flows.…

General Relativity and Quantum Cosmology · Physics 2017-12-01 Astrid Eichhorn , Aaron Held

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 availability of scaling solutions in renormalisation group improved versions of cosmology are investigated in the high-energy limit. We adopt $f(R)$-type models of quantum gravity which display an interacting ultraviolet fixed point at…

General Relativity and Quantum Cosmology · Physics 2018-05-16 Kevin Falls , Daniel F. Litim , Kostas Nikolakopoulos , Christoph Rahmede

Asymptotically safe gravity is based on the idea of the dependence of the gravitational coupling upon the distance from the origin, approaching its classical value in the weak field regime. We consider three cases of identifying the cut-off…

General Relativity and Quantum Cosmology · Physics 2024-04-04 A. F. Zinhailo

Within the functional renormalization group approach we study the effective QFT of Einstein gravity and one self-interacting scalar coupled to N_f Dirac fermions. We include in our analysis the matter anomalous dimensions induced by all the…

High Energy Physics - Theory · Physics 2010-12-28 G. P. Vacca , O. Zanusso

Under the hypothesis of asymptotic safety of gravity, the static, spherically symmetric black hole solutions in the infrared limit are corrected by non-perturbative effects. Specifically, the metric is modified by the running of…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Dao-Jun Liu , Bin Yang , Yong-Jia Zhai , Xin-Zhou Li