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Positivity bounds are bounds on the Wilson coefficients of an effective field theory. They hold, if the ultraviolet completion satisfies unitarity, microcausality, locality and Lorentz symmetry; accordingly their violation signals a…

High Energy Physics - Theory · Physics 2024-05-16 Astrid Eichhorn , Andreas Odgaard Pedersen , Marc Schiffer

In the asymptotic safety paradigm, a quantum field theory reaches a regime with quantum scale invariance in the ultraviolet, which is described by an interacting fixed point of the Renormalization Group. Compelling hints for the viability…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Astrid Eichhorn

The asymptotic safety scenario in quantum gravity is reviewed, according to which a renormalizable quantum theory of the gravitational field is feasible which reconciles asymptotically safe couplings with unitarity. All presently known…

General Relativity and Quantum Cosmology · Physics 2010-11-02 M. Niedermaier

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

We investigate the consequences of combining swampland conjectures with the requirement of asymptotic safety. To this end, we explore the infrared regime of asymptotically safe gravity in the quadratic one-loop approximation, and we…

High Energy Physics - Theory · Physics 2021-10-20 Ivano Basile , Alessia Platania

We compute non-perturbative flow equations for the couplings of quantum gravity in fourth order of a derivative expansion. The gauge invariant functional flow equation for arbitrary metrics allows us to extract $\beta$-functions for all…

High Energy Physics - Theory · Physics 2022-03-24 Saswato Sen , Christof Wetterich , Masatoshi Yamada

In Weinberg's asymptotic safety approach, a finite dimensional critical surface for a UV stable fixed point generates a theory of quantum gravity with a finite number of physical parameters. We argue that, in an extension of Feynman's…

General Relativity and Quantum Cosmology · Physics 2010-12-14 B. F. L. Ward

Recent studies of the ultraviolet behaviour of pure gravity suggest that it admits a non-Gaussian attractive fixed point, and therefore that the theory is asymptotically safe. We consider the effect on this fixed point of massless minimally…

High Energy Physics - Theory · Physics 2009-11-07 Roberto Percacci , Daniele Perini

We study the asymptotic safety conjecture for quantum gravity in the presence of matter fields. A general line of reasoning is put forward explaining why gravitons dominate the high-energy behaviour, largely independently of the matter…

High Energy Physics - Theory · Physics 2018-06-15 Nicolai Christiansen , Daniel F. Litim , Jan M. Pawlowski , Manuel Reichert

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

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 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

We zoom in on the microscopic dynamics for fermions and quantum gravity within the asymptotic-safety paradigm. A key finding of our study is the unavoidable presence of a nonminimal derivative coupling between the curvature and fermion…

High Energy Physics - Theory · Physics 2019-04-19 Astrid Eichhorn , Stefan Lippoldt , Marc Schiffer

We review and extend in several directions recent results on the asymptotic safety approach to quantum gravity. The central issue in this approach is the search of a Fixed Point having suitable properties, and the tool that is used is a…

High Energy Physics - Theory · Physics 2013-08-28 Alessandro Codello , Roberto Percacci , Christoph Rahmede

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

We explore whether quantum gravity effects within the asymptotic safety paradigm can provide a predictive ultraviolet completion for Abelian gauge theories. We evaluate the effect of quantum gravity fluctuations on the running couplings in…

High Energy Physics - Theory · Physics 2017-05-18 Nicolai Christiansen , Astrid Eichhorn

In this contribution, we discuss the asymptotic safety scenario for quantum gravity with a functional renormalisation group approach that disentangles dynamical metric fluctuations from the background metric. We review the state of the art…

High Energy Physics - Theory · Physics 2021-12-03 Jan M. Pawlowski , Manuel Reichert

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

Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field theories, in particular for quantum gravity. Significant progress on this program has led to a first characterization of the Reuter fixed point.…

General Relativity and Quantum Cosmology · Physics 2020-04-16 Alfio Bonanno , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski , Roberto Percacci , Martin Reuter , Frank Saueressig , Gian Paolo Vacca

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
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