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Unimodular gravity is classically equivalent to General Relativity. This equivalence extends to actions which are functions of the curvature scalar. At the quantum level, the dynamics could differ. Most importantly, the cosmological…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Astrid Eichhorn

Over the last years the Asymptotic Safety program has matured into a serious candidate for a quantum theory of gravity compatible with observations. The rapid technical progress in computing renormalisation group flows for gravity and…

High Energy Physics - Theory · Physics 2020-01-08 Benjamin Knorr , Chris Ripken , Frank Saueressig

We discuss the compatibility of quantum gravity with dynamical matter degrees of freedom. Specifically, we present bounds we obtained in [1] on the allowed number and type of matter fields within asymptotically safe quantum gravity. As a…

General Relativity and Quantum Cosmology · Physics 2023-07-19 P. Donà , Astrid Eichhorn , Roberto Percacci

We present the first complete next-to-leading-order analysis of a Yukawa system within the framework of asymptotically safe quantum gravity. Our results are obtained through a systematic resummation of higher-order operators, revealing two…

High Energy Physics - Theory · Physics 2025-10-13 Gustavo P. de Brito , Manuel Reichert , Marc Schiffer

A phenomenologically viable theory of quantum gravity must accommodate all observed matter degrees of freedom and their properties. Here, we explore whether a toy model of the Higgs-Yukawa sector of the Standard Model is compatible with…

High Energy Physics - Theory · Physics 2016-11-15 Astrid Eichhorn , Aaron Held , Jan M. Pawlowski

It was recently shown that certain perturbatively accessible, non-supersymmetric gauge-Yukawa theories have UV asymptotic safety, without asymptotic freedom: the UV theory is an interacting RG fixed point, and the IR theory is free. We here…

High Energy Physics - Theory · Physics 2015-11-13 Kenneth Intriligator , Francesco Sannino

We propose a scenario with string theory in the deep ultraviolet, an intermediate asymptotically safe scaling regime for gravity and matter, and the Standard Model in the infrared. This could provide a new perspective to tackle challenges…

High Energy Physics - Theory · Physics 2019-11-18 Senarath de Alwis , Astrid Eichhorn , Aaron Held , Jan M. Pawlowski , Marc Schiffer , Fleur Versteegen

We classify the weakly interacting fixed points of general gauge theories coupled to matter and explain how the competition between gauge and matter fluctuations gives rise to a rich spectrum of high- and low-energy fixed points. The…

High Energy Physics - Theory · Physics 2017-08-02 Andrew D. Bond , Daniel F. Litim

It is well known in quantum field theory that the off-shell effective action depends on the gauge choice and field parametrization used in calculating it. Nevertheless, the typical scheme in which the scenario of asymptotically safe gravity…

High Energy Physics - Theory · Physics 2018-10-15 Dario Benedetti

We compute leading order quantum gravity contributions to a simple scalar scattering amplitude in Asymptotic Safety. Our model admits an analytic treatment so that several subtleties can be analysed. We find that (i) the existence of an…

High Energy Physics - Theory · Physics 2026-03-18 Benjamin Knorr

We explore whether perturbative interacting fixed points in matter systems can persist under the impact of quantum gravity. We first focus on semi-simple gauge theories and show that the leading order gravity contribution evaluated within…

High Energy Physics - Theory · Physics 2017-10-18 Nicolai Christiansen , Astrid Eichhorn , Aaron Held

A search strategy for asymptotic safety is put forward and tested for a simplified version of gravity in four dimensions using the renormalization group. Taking the action to be a high-order polynomial of the Ricci scalar, a self-consistent…

High Energy Physics - Theory · Physics 2016-04-08 K. Falls , D. F. Litim , K. Nikolakopoulos , C. Rahmede

We present and discuss well known conditions for ultraviolet finiteness and asymptotic safety. The requirements for complete absence of ultraviolet divergences in quantum field theories and existence of a non-trivial fixed point for…

High Energy Physics - Theory · Physics 2022-04-22 Leslaw Rachwal

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

In this chapter we review the state-of-the-art of black holes in asymptotically safe gravity. After a brief recap of the asymptotic safety program, we shall summarize the features of asymptotic-safety-inspired black-hole models that have…

General Relativity and Quantum Cosmology · Physics 2024-02-13 Alessia Platania

Generalized Proca Theories are the most general higher-derivative extensions of a massive vector field that retain second-order equations of motion. They are phenomenologically interesting as models of dynamical dark energy that, unlike…

High Energy Physics - Theory · Physics 2026-01-30 Lavinia Heisenberg , Alessia Platania , Sara Rufrano Aliberti

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

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

All known examples of four dimensional quantum field theories with asymptotic freedom or asymptotic safety at weak coupling involve non-abelian gauge interactions. We demonstrate that this is not a coincidence: no weakly coupled fixed…

High Energy Physics - Theory · Physics 2019-06-05 Andrew D. Bond , Daniel F. Litim

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