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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

We study the asymptotic safety conjecture for quantum gravity in the presence of matter fields. A general line of reasoning is put forward explaining why gravitons dominate the high-energy behaviour, largely independently of the matter…

High Energy Physics - Theory · Physics 2018-06-15 Nicolai Christiansen , Daniel F. Litim , Jan M. Pawlowski , Manuel Reichert

We use the functional renormalization group equation for the effective average action to study the non-Gaussian renormalization group fixed points (NGFPs) arising within the framework of f(R)-gravity minimally coupled to an arbitrary number…

High Energy Physics - Theory · Physics 2018-08-15 Natalia Alkofer , 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

Realizing a quantum theory for gravity based on Asymptotic Safety hinges on the existence of a non-Gaussian fixed point of the theory's renormalization group flow. In this work, we use the functional renormalization group equation for the…

High Energy Physics - Theory · Physics 2015-09-30 Maximilian Demmel , Frank Saueressig , Omar Zanusso

Asymptotic safety is a powerful mechanism for obtaining a consistent and predictive quantum field theory beyond the realm of perturbation theory. It hinges on an interacting fixed point of the Wilsonian renormalization group flow which…

High Energy Physics - Theory · Physics 2024-12-02 Frank Saueressig , Agustín Silva

Computing the gravitational effective action provides a direct route to charting the landscape of admissible black hole spacetimes and their alternatives, which we will collectively call "gravitationally localized objects" (GLOBs). In this…

General Relativity and Quantum Cosmology · Physics 2025-09-19 Francesco Del Porro , Jonas Pfeiffer , Alessia Platania , Samuele Silveravalle

This paper presents the detailed, standard treatment of a simple, gauge invariant action for Weyl and Weyl-like Cartan geometries outlined in a previous paper. In addition to the familiar scalar curvature squared and Maxwell terms, the…

General Relativity and Quantum Cosmology · Physics 2018-07-26 J. E. Rankin

Asymptotically Safe theories of gravity have recently received much attention. In this work we discuss a class of inflationary models derived from quantum-gravity modification of quadratic gravity according to the induced scaling around the…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Alfio Bonanno , Alessia Platania

Asymptotic safety describes a scenario in which general relativity can be quantized as a conventional field theory, despite being nonrenormalizable when expanding it around a fixed background geometry. It is formulated in the framework of…

High Energy Physics - Theory · Physics 2013-02-06 J. Ambjorn , A. Goerlich , J. Jurkiewicz , R. Loll

We use the functional renormalization group equation for the effective average action to study the fixed point structure of gravity-fermion systems on a curved background spacetime. We approximate the effective average action by the…

High Energy Physics - Theory · Physics 2020-10-06 Jesse Daas , Wouter Oosters , Frank Saueressig , Jian Wang

The gravitational asymptotic safety program strives for a consistent and predictive quantum theory of gravity based on a non-trivial ultraviolet fixed point of the renormalization group (RG) flow. We investigate this scenario by employing a…

High Energy Physics - Theory · Physics 2011-07-28 Elisa Manrique , Stefan Rechenberger , Frank Saueressig

Building a consistent Quantum Theory of Gravity is one of the most challenging aspects of modern theoretical physics. In the past couple of years, new attempts have been made along the path of ``asymptotic safety'' through the use of Exact…

High Energy Physics - Theory · Physics 2009-11-10 Daniele Perini

We present the first numerical study of the ultraviolet dynamics of non-asymptotically free gauge-fermion theories at large number of matter fields. As testbed theories we consider non-abelian SU(2) gauge theories with 24 and 48 Dirac…

High Energy Physics - Lattice · Physics 2020-04-15 Viljami Leino , Tobias Rindlisbacher , Kari Rummukainen , Francesco Sannino , Kimmo Tuominen

Tensor non-Gaussianities are a key ingredient to test the symmetries and the presence of higher spin fields during the inflationary epoch. Indeed, the shape of the three point correlator of the graviton is totally fixed by the symmetries of…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-26 Valerio De Luca , Gabriele Franciolini , Alex Kehagias , Antonio Riotto , Maresuke Shiraishi

In this work we study a significantly enlarged truncation of conformally reduced quantum gravity in the context of Asymptotic Safety, including all operators that can be resolved in such a truncation including up to the sixth order in…

High Energy Physics - Theory · Physics 2022-07-27 Benjamin Knorr

Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field theories, in particular for quantum gravity. Significant progress on this program has led to a first characterization of the Reuter fixed point.…

General Relativity and Quantum Cosmology · Physics 2020-04-16 Alfio Bonanno , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski , Roberto Percacci , Martin Reuter , Frank Saueressig , Gian Paolo Vacca

We study the ultraviolet stability of gravity-matter systems for general numbers of minimally coupled scalars and fermions. This is done within the functional renormalisation group setup put forward in \cite{Christiansen:2015rva} for pure…

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

We discuss the renormalization of Einstein-Hilbert's gravity in $d=2+\epsilon$ dimensions. We show that the application of the path-integral approach leads naturally to scheme- and gauge-independent results on-shell, but also gives a…

High Energy Physics - Theory · Physics 2024-02-28 Riccardo Martini , Dario Sauro , Omar Zanusso

The phase diagram of four-dimensional Einstein-Hilbert gravity is studied using Wilson's renormalization group. Smooth trajectories connecting the ultraviolet fixed point at short distances with attractive infrared fixed points at long…

High Energy Physics - Theory · Physics 2012-09-19 Nicolai Christiansen , Daniel F. Litim , Jan M. Pawlowski , Andreas Rodigast