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Related papers: Asymptotic Safety, Singularities, and Gravitationa…

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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

Entanglement entropies calculated in the framework of quantum field theory on classical, flat or curved, spacetimes are known to show an intriguing area law in four dimensions, but they are also notorious for their quadratic ultraviolet…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Carlo Pagani , Martin Reuter

Although there is general agreement that a removal of classical gravitational singularities is not only a crucial conceptual test of any approach to quantum gravity but also a prerequisite for any fundamental theory, the precise criteria…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Martin Bojowald

We study four-dimensional quantum gravity using non-perturbative renormalization group methods. We solve the corresponding equations for the fully momentum-dependent propagator, Newton's coupling and the cosmological constant. For the first…

High Energy Physics - Theory · Physics 2016-02-17 Nicolai Christiansen , Benjamin Knorr , Jan M. Pawlowski , Andreas Rodigast

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

Asymptotically safe quantum gravity is a candidate theory to quantum gravity, which could unify the gravitational interaction with particle physics. It is characterized by quantum scale-symmetry at high energies. The constraining power of…

General Relativity and Quantum Cosmology · Physics 2025-10-01 Marc Schiffer

When general relativity is augmented by quadratic gravity terms, it becomes a renormalisable theory of gravity. This theory may admit a non-Gaussian fixed point as envisaged in the asymptotic safety program, rendering the theory trustworthy…

High Energy Physics - Theory · Physics 2019-11-06 Jean-Luc Lehners , K. S. Stelle

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

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

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

We study the homogeneous gravitational collapse of a spherical cloud of matter in a super-renormalizable and asymptotically free theory of gravity. We find a picture that differs substantially from the classical scenario. The central…

General Relativity and Quantum Cosmology · Physics 2014-02-21 Cosimo Bambi , Daniele Malafarina , Leonardo Modesto

Quantum gravitational corrections to black holes are studied in four and higher dimensions using a renormalisation group improvement of the metric. The quantum effects are worked out in detail for asymptotically safe gravity, where the…

High Energy Physics - Theory · Physics 2012-03-05 Kevin Falls , Daniel F. Litim , Aarti Raghuraman

We consider here the genericity aspects of spacetime singularities that occur in cosmology and in gravitational collapse. The singularity theorems (that predict the occurrence of singularities in general relativity) allow the singularities…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pankaj S. Joshi

We consider the asymptotic-safety scenario for quantum gravity which constructs a non-perturbatively renormalisable quantum gravity theory with the help of the functional renormalisation group. We verify the existence of a non-Gaussian…

High Energy Physics - Theory · Physics 2009-11-10 Astrid Eichhorn , Holger Gies , Michael M. Scherer

We present a class of spherically symmetric vacuum solutions to an asymptotically safe theory of gravity containing high-derivative terms. We find quantum corrected Schwarzschild-(anti)-de Sitter solutions with running gravitational…

High Energy Physics - Theory · Physics 2014-11-21 Yi-Fu Cai , Damien A. Easson

Phenomenologically appealing supersymmetric grand unified theories have large gauge representations and thus are not asymptotically free. Their ultraviolet validity is limited by the appearance of a Landau pole well before the Planck scale.…

High Energy Physics - Theory · Physics 2017-02-01 Borut Bajc , Francesco Sannino

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

In recent years it has emerged that the high energy behavior of gravity could be governed by an ultraviolet non-Gaussian fixed point of the (dimensionless) Newton's constant, whose behavior at high energy is thus {\it antiscreened}. This…

High Energy Physics - Theory · Physics 2011-08-17 Alfio Bonanno

This thesis is devoted to exploring various fundamental issues within asymptotic safety. Firstly, we study the reconstruction problem and present two ways in which to solve it within the context of scalar field theory, by utilising a…

High Energy Physics - Theory · Physics 2018-12-19 Zoë H. Slade

Asymptotically safe quantum gravity is an approach to quantum gravity that achieves formulates a standard quantum field theory for the metric. Therefore, even the deep quantum gravity regime, that is expected to determine the true structure…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Astrid Eichhorn , Aaron Held