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Asymptotic safety is a set of conditions, based on the existence of a nontrivial fixed point for the renormalization group flow, which would make a quantum field theory consistent up to arbitrarily high energies. After introducing the basic…

High Energy Physics - Theory · Physics 2008-11-18 R. Percacci

The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalisation group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The…

High Energy Physics - Theory · Physics 2016-05-18 Kevin Falls , Daniel F. Litim , Konstantinos Nikolakopoulos , Christoph Rahmede

Asymptotic Safety offers a conservative and predictive framework for quantum gravity, based on the existence of a renormalization group fixed point that ensures ultraviolet completeness without introducing new degrees of freedom. Black…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Andrea Spina

The asymptotic safety scenario of Quantum Einstein Gravity, the quantum field theory of the spacetime metric, is reviewed and it is argued that the theory is likely to be nonperturbatively renormalizable. It is also shown that asymptotic…

High Energy Physics - Theory · Physics 2007-05-23 O. Lauscher , M. Reuter

We study the conformally reduced $R+R^2$ theory of gravity and we show that the theory is asymptotically safe with an ultraviolet critical manifold of dimension three. In particular, we discuss the universality properties of the fixed point…

High Energy Physics - Theory · Physics 2023-07-26 Alfio Maurizio Bonanno , Maria Conti , Sergio Luigi Cacciatori

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

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 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

I discuss the notion of asymptotic safety and possible applications to quantum field theories of gravity and matter.

High Energy Physics - Theory · Physics 2011-10-31 R. Percacci

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

Constraining quantum gravity from observations is a challenge. We expand on the idea that the interplay of quantum gravity with matter could be key to meeting this challenge. Thus, we set out to confront different potential candidates for…

High Energy Physics - Theory · Physics 2019-10-23 Gustavo P. de Brito , Astrid Eichhorn , Antonio D. Pereira

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 a comprehensive non-perturbative study of the phase structure of the asymptotically safe Standard Model. The physics scales included range from the asymptotically safe trans-Planckian regime in the ultraviolet, the intermediate…

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

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

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

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

We study quantum gravity in more than four dimensions with renormalisation group methods. We find a non-trivial ultraviolet fixed point in the Einstein-Hilbert action. The fixed point connects with the perturbative infrared domain through…

High Energy Physics - Theory · Physics 2008-11-26 Peter Fischer , Daniel F. Litim

Nonperturbative treatments of the UV limit of pure gravity suggest that it admits a stable fixed point with positive Newton's constant and cosmological constant. We prove that this result is stable under the addition of a scalar field with…

High Energy Physics - Theory · Physics 2011-05-05 Roberto Percacci , Daniele Perini

Asymptotic Safety provides a mechanism for constructing a consistent and predictive quantum theory of gravity valid on all length scales. Its key ingredient is a non-Gaussian fixed point of the gravitational renormalization group flow which…

High Energy Physics - Theory · Physics 2017-04-26 Jorn Biemans , Alessia Platania , Frank Saueressig

We use functional renormalization group methods to study gravity minimally coupled to a free scalar field. This setup provides the prototype of a gravitational theory which is perturbatively non-renormalizable at one-loop level, but may…

High Energy Physics - Theory · Physics 2009-10-06 Dario Benedetti , Pedro F. Machado , Frank Saueressig