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We explore Euclidean quantum gravity using the tetrad field together with a selfdual or anti-selfdual spin-connection as the basic field variables. Setting up a functional renormalization group (RG) equation of a new type which is…

High Energy Physics - Theory · Physics 2015-12-23 Ulrich Harst , Martin Reuter

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4…

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

Constraining quantum gravity from observations is a challenge. We expand on the idea that the interplay of quantum gravity with matter could be key to meeting this challenge. Thus, we set out to confront different potential candidates for…

High Energy Physics - Theory · Physics 2019-10-23 Gustavo P. de Brito , Astrid Eichhorn , Antonio D. Pereira

We compute the asymptotic safety landscape stemming from ultraviolet-complete photon-graviton flows in a field theoretic setup, and we confront it with the weak gravity conjecture and, for the first time, with positivity bounds. At fourth…

High Energy Physics - Theory · Physics 2024-08-13 Benjamin Knorr , Alessia Platania

We summarize recent evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity (QEG) is nonperturbatively renormalizable along the lines of Weinberg's asymptotic safety scenario. This would mean that QEG is…

High Energy Physics - Theory · Physics 2009-11-07 O. Lauscher , M. Reuter

We analyse scale invariant quadratic quantum gravity incorporating non-minimal coupling to a multiplet of scalar fields in a gauge theory, with particular emphasis on the consequences for its interpretation resulting from a transformation…

High Energy Physics - Theory · Physics 2018-03-07 Martin B. Einhorn , D. R. Timothy Jones

In a scalar-coupled-gravity model, the quadratically divergent counter term appearing in the mass renormalization of the scalar fields must inherit corrections arising out of gravitational interactions. In this work we have explicitly…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Sumanta Chakraborty

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

Gravity can be considered as an effective quantum field theory with reliable, but limited predictions. Though the influence of gravity on gauge and other interactions of elementary particles is still an open question. We calculate the…

High Energy Physics - Phenomenology · Physics 2017-06-15 G. Cynolter , E. Lendvai

The reduction of 4D Einstein gravity with $N$ minimal scalars leads to specific 2D dilaton gravity with dilaton coupled scalars. Applying s-wave and large $N$ approximation (where large $N$ quantum contribution due to dilaton itself is…

High Energy Physics - Theory · Physics 2009-09-17 Tomoko Kadoyoshi , Shin'ichi Nojiri , Sergei D. Odintsov

We obtain the $\beta$-functions for the two dimensionless couplings of a 4d renormalizable scalar field theory with cubic and quartic 4-derivative interactions. Both couplings can be asymptotically free in the UV, and in some cases also in…

High Energy Physics - Theory · Physics 2023-06-19 Bob Holdom

Asymptotic Safety constitutes a promising mechanism for a consistent and predictive high-energy completion of the gravitational interactions. To date, most results on the interacting renormalization group fixed point underlying the…

High Energy Physics - Theory · Physics 2025-05-19 Frank Saueressig , Jian Wang

We investigate a family of four-dimensional quantum field theories with weakly interacting ultraviolet fixed points up to four loop order in perturbation theory. Key new ingredients are the three loop gauge contributions to quartic scalar…

High Energy Physics - Theory · Physics 2023-09-26 Daniel F. Litim , Nahzaan Riyaz , Emmanuel Stamou , Tom Steudtner

A class of 2-dimensional models including 2-d dilaton gravity, spherically symmetric reduction of d-dimensional Einstein gravity and other related theories are classically analyzed. The general analytic solutions in the absence of matter…

High Energy Physics - Theory · Physics 2010-11-01 Youngjai Kiem

We consider 4D quantum-dilaton gravity with the most general coupling in a homogeneous and isotropic universe, especially an inflationary one, which is essentially characterized by an exponentially expanding scale factor with time. We show…

High Energy Physics - Theory · Physics 2009-10-30 Hiroyuki Takata

The spherically symmetric reduction of higher dimensional Einstein-scalar theory leads to lower dimensional dilatonic gravity with dilaton coupled scalar (for example, from 4D to 2D system). We calculate trace anomaly and anomaly induced…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We study asymptotically safe gravity with Einstein-Hilbert truncation taking into account the renormalization group running of both gravitational and cosmological constants. We show the classical behavior of the theory is equivalent to a…

High Energy Physics - Theory · Physics 2011-11-03 Yi-Fu Cai , Damien A. Easson

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

We show that classically scale invariant gravity coupled to a single scalar field can undergo dimensional transmutation and generate an effective Einstein-Hilbert action for gravity, coupled to a massive dilaton. The same theory has an…

High Energy Physics - Theory · Physics 2016-01-21 Martin B Einhorn , D R Timothy Jones
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