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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

We propose a simple fixed point scenario in the renormalization flow of a scalar dilaton coupled to gravity. This would render gravity non-perturbatively renormalizable and thus constitute a viable theory of quantum gravity. On the fixed…

High Energy Physics - Theory · Physics 2015-06-15 Tobias Henz , Jan Martin Pawlowski , Andreas Rodigast , Christof Wetterich

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

We construct a new inflation model in which the standard model Higgs boson couples minimally to gravity and acts as the inflaton. Our construction of Higgs inflation incorporates the standard model with Einstein gravity which exhibits…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-04 Zhong-Zhi Xianyu , Hong-Jian He

We investigate the high-energy properties of matter theories coupled to quantum gravity. Specifically, we show that quantum gravity fluctuations generically induce matter self-interactions in a scalar theory. Our calculations apply within…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Astrid Eichhorn

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

We summarize recent progress in understanding the role of higher-derivative terms in the asymptotic safety scenario of gravity. Extending previous computations based on the functional renormalization group approach by including a…

High Energy Physics - Theory · Physics 2015-05-14 Dario Benedetti , Pedro F. Machado , Frank Saueressig

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 discover that chiral symmetry does not act as an infrared attractor of the renormalization group flow under the impact of quantum gravity fluctuations. Thus, observationally viable quantum gravity models must respect chiral symmetry. In…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Astrid Eichhorn , Stefan Lippoldt

We study the non-perturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The non-perturbative contributions to the $\beta$-functions shift the known perturbative…

High Energy Physics - Theory · Physics 2009-10-08 Dario Benedetti , Pedro F. Machado , Frank Saueressig

In this paper we investigate the perturbation theory of the asymptotically safe inflation and we find that all modes of gravitational waves perturbation become ghosts in order to achieve a large enough number of e-folds. Formally we can…

High Energy Physics - Theory · Physics 2013-06-20 Chao Fang , Qing-Guo Huang

Inflation is studied in the context of induced gravity (IG) $\gamma \sigma^2 R$, where $R$ is the Ricci scalar, $\sigma$ a scalar field and $\gamma$ a dimensionless constant. We study in detail cosmological perturbations in IG and examine…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 A. Cerioni , F. Finelli , A. Tronconi , G. Venturi

We analyse the renormalisation group flow of quantum gravity at sixth order in the derivative expansion within the background field approximation. Non-linear field redefinitions are used to ensure that only essential couplings flow. Working…

High Energy Physics - Theory · Physics 2023-12-08 Alessio Baldazzi , Kevin Falls , Yannick Kluth , Benjamin Knorr

The asymptotic safety program assumes that quantum gravity becomes renormalizable through ultraviolet fixed points in metric-based couplings. We demonstrate that this approach {encounters fundamental symmetry violations} across multiple…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Farrukh A. Chishtie

We study the running of power spectra in inflationary cosmology as a renormalization-group flow from the de Sitter fixed point. The beta function is provided by the equations of the background metric. The spectra of the scalar and tensor…

High Energy Physics - Theory · Physics 2021-01-27 Damiano Anselmi

Asymptotic Safety (AS) Program for quantum gravity keeps the same fields and symmetries with General Relativity and studies the associated gravitational action as a fundamental part of the complete theory at the nonperturbative level with…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Vasilios Zarikas , Georgios Kofinas

Asymptotic Safety is a promising framework towards the understanding, in a non-perturbative way, of Quantum Gravity. It treats the Newton's constant G_N and the cosmological constant \Lambda as running coupling of an effective action. At…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-17 Vasilios Zarikas

Motivated by Weinberg's asymptotic safety scenario, we investigate the gravitational renormalization group flow in the Einstein-Hilbert truncation supplemented by the wave-function renormalization of the ghost fields. The latter induces…

High Energy Physics - Theory · Physics 2014-11-20 Kai Groh , Frank Saueressig

We present a model of inflation based on the anomaly-induced effective action of gravity in the presence of a conformally invariant Hilbert-Einstein term. Our approach is based on the conformal representation of the fields action and on the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ilya L. Shapiro , Joan Sola

The weak-gravity bound has been discovered in asymptotically safe gravity-matter systems, where it limits the maximum strength of gravitational fluctuations. In the present paper, we explore it for the first time in systems with more than…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Astrid Eichhorn , Jan Henryk Kwapisz , Marc Schiffer
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