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Related papers: Four-derivative interactions in asymptotically saf…

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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

We derive the one-loop beta functions for a theory of gravity with generic action containing up to four derivatives. The calculation is done in arbitrary dimension and on an arbitrary background. The special cases of three, four, near four,…

High Energy Physics - Theory · Physics 2015-06-16 Nobuyoshi Ohta , Roberto 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

We recalculate the beta functions of higher derivative gravity in four dimensions using the one--loop approximation to an Exact Renormalization Group Equation. We reproduce the beta functions of the dimensionless couplings that were known…

High Energy Physics - Theory · Physics 2008-11-26 A. Codello , R. Percacci

Asymptotic safety generalizes asymptotic freedom and could contribute to understanding physics beyond the Standard Model. It is a candidate scenario to provide an ultraviolet extension for the effective quantum field theory of gravity…

High Energy Physics - Theory · Physics 2019-02-22 Astrid Eichhorn

Asymptotically safe theories of gravitation have received great attention in recent times. In this framework an effective action embodying the basic features of the renormalized flow around the non-gaussian fixed point is derived and its…

High Energy Physics - Theory · Physics 2015-06-04 Alfio Bonanno

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 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

We study the renormalization group flow of gravity coupled to scalar matter using functional renormalization group techniques. The novel feature is the inclusion of higher-derivative terms in the scalar propagator. Such terms give rise to…

High Energy Physics - Theory · Physics 2018-01-17 Daniel Becker , Chris Ripken , Frank Saueressig

We study the quantum properties of the three-dimensional higher derivative gravity. In particular we calculate the running of the gravitational and cosmological constants. The flow of these couplings shows that there exist both Gaussian and…

High Energy Physics - Theory · Physics 2015-06-05 Nobuyoshi Ohta

Within the functional renormalization group approach we study the effective QFT of Einstein gravity and one self-interacting scalar coupled to N_f Dirac fermions. We include in our analysis the matter anomalous dimensions induced by all the…

High Energy Physics - Theory · Physics 2010-12-28 G. P. Vacca , O. Zanusso

Weinberg's asymptotic safety scenario provides an elegant mechanism to construct a quantum theory of gravity within the framework of quantum field theory based on a non-Gau{\ss}ian fixed point of the renormalization group flow. In this work…

High Energy Physics - Theory · Physics 2016-06-01 Holger Gies , Benjamin Knorr , Stefan Lippoldt , Frank Saueressig

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 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

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 scenario of gravity conjectures that (i) the quantum field theory of gravity exists thanks to the presence of a non-trivial ultraviolet fixed point of the renormalization group, and that (ii) the fixed point has only a…

High Energy Physics - Theory · Physics 2013-05-16 Dario Benedetti

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

Asymptotic safety is an attractive scenario for the dynamics of quantum spacetime. Here, we work from a phenomenologically motivated point of view and emphasize that a viable dynamics for quantum gravity in our universe must account for the…

General Relativity and Quantum Cosmology · Physics 2016-05-12 Pietro Donà , Astrid Eichhorn , Peter Labus , Roberto Percacci

We use the Gross-Neveu model in 2<d<4 as a simple fermionic example for Weinberg's asymptotic safety scenario: despite being perturbatively nonrenormalizable, the model defines an interacting quantum field theory being valid to arbitrarily…

High Energy Physics - Theory · Physics 2011-04-22 Jens Braun , Holger Gies , Daniel D. Scherer

We study asymptotic safety of models of the higher derivative quantum gravity with and without matter. The beta functions are derived by utilizing the functional renormalization group, and non-trivial fixed points are found. It turns out…

High Energy Physics - Theory · Physics 2017-08-22 Yuta Hamada , Masatoshi Yamada
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