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We review aspects of the interplay of asymptotically safe gravity with matter, focusing on the potential predictive power of the quantum scale-symmetry underlying the asymptotically safe fixed point. We explain how an asymptotically safe…

High Energy Physics - Theory · Physics 2019-07-12 Astrid Eichhorn , Aaron Held

In absence of matter Einstein gravity with a cosmological constant $\La$ can be formulated as a scale-free theory depending only on the dimensionless coupling constant G \Lambda where G is Newton constant. We derive the conformal field…

High Energy Physics - Theory · Physics 2009-11-11 Mariano Cadoni

We present a novel equivalence between scale-dependent gravity and scalar-tensor theories that have only a single scalar field with a canonical kinetic term in the Einstein frame and a conformal coupling to the metric tensor. In particular,…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Philipp Neckam , Christian Käding , Benjamin Koch , Cristobal Laporte , Mario Pitschmann , Ali Riahinia , Angel Rincon

Recently an interesting idea has been put forward by Robinson and Wilczek that incorporation of quantized gravity in the framework of abelian and nonabelian gauge theories results in a correction to the running of gauge coupling and, in…

High Energy Physics - Theory · Physics 2008-11-26 Artur R. Pietrykowski

We study gauge and gravity backreaction in a holographic model of quantum quench across a superfluid critical transition. The model involves a complex scalar field coupled to a gauge and gravity field in the bulk. In earlier work…

High Energy Physics - Theory · Physics 2015-06-23 Sumit R. Das , Takeshi Morita

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

The scale dependent effective average action for quantum gravity complies with the fundamental principle of Background Independence. Ultimately the background metric it formally depends on is selected self-consistently by means of a…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Carlo Pagani , Martin Reuter

The semiclassical gravity describes gravitational back-reactions of the classical spacetime interacting with quantum matter fields but the quantum effects on the background is formally defined as higher derivative curvatures. These induce…

General Relativity and Quantum Cosmology · Physics 2020-02-06 Hiroki Matsui , Naoki Watamura

The unification of gauge couplings suggests that there is an underlying (supersymmetric) unification of the strong, electromagnetic and weak interactions. The prediction of the unification scale may be the first quantitative indication that…

High Energy Physics - Phenomenology · Physics 2011-07-19 D. Ghilencea , M. Lanzagorta , G. G. Ross

We consider quantum gravitational corrections to Maxwell's equations on flat space background. Although the vacuum polarization is highly gauge dependent, we explicitly show that this gauge dependence is canceled by contributions from the…

General Relativity and Quantum Cosmology · Physics 2021-11-17 S. Katuwal , R. P. Woodard

I review the field-theoretic renomalization group approach to quantum gravity, built around the existence of a non-trivial ultraviolet fixed point in four dimensions. I discuss the implications of such a fixed point, found in three largely…

High Energy Physics - Theory · Physics 2010-02-04 Herbert W. Hamber

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

We analyze the phase space of gravity non-minimally coupled to a scalar field in a generic local Lorentz frame. We reduce the set of constraints to a first-class one by fixing a specific hypersurfaces in the phase space. The main issue of…

General Relativity and Quantum Cosmology · Physics 2013-05-29 F. Cianfrani , G. Montani

We construct a family of measures for random fields based on the iterated subdivision of simple geometric shapes (triangles, squares, tetrahedrons) into a finite number of similar shapes. The intent is to construct continuum limits of scale…

High Energy Physics - Theory · Physics 2012-07-05 Arnab Kar , S. G. Rajeev

Dependence on the graviton gauge enters the conventional effective field equations because they fail to account for quantum gravitational correlations with the source which excites the effective field and with the observer who measures it.…

High Energy Physics - Theory · Physics 2024-07-30 D. Glavan , S. P. Miao , T. Prokopec , R. P. Woodard

Scale invariance supplemented by the requirement of the absence of new heavy particles may play an important role in addressing the hierarchy problem. We discuss how the Standard Model may become scale invariant at the quantum level above a…

High Energy Physics - Phenomenology · Physics 2019-06-14 Mikhail Shaposhnikov , Kengo Shimada

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

The problem is solved of describing scale factors of a homogeneous isotropic spaces-time such that the exact solution for the scalar field with a nonconformal coupling to curvature can be obtained from solutions for the conformally coupled…

General Relativity and Quantum Cosmology · Physics 2013-04-10 Yu. V. Pavlov

A class of generalized non-minimal coupling theories is investigated, in search of scaling attractors able to provide an accelerated expansion at the present time. Solutions are found in the strong coupling regime and when the coupling…

Astrophysics · Physics 2008-11-26 Luca Amendola

We study the loss of hyperbolicity of perturbation equations for black hole solutions of scalar Gauss-Bonnet gravity. We consider a class of coupling functions allowing for static black hole solutions with arbitrary small masses. For masses…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Dario Rossi , Leonardo Gualtieri , Thomas P. Sotiriou
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