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A modified gravitational theory is developed in which the gravitational coupling constants $G$ and $Q$ and the effective mass $m_\phi$ of a repulsive vector field run with momentum scale $k$ or length scale $\ell =1/k$, according to a…

General Relativity and Quantum Cosmology · Physics 2015-06-29 J. W. Moffat

We use high-redshift type Ia supernova and compact radio source data in order to test the infrared (IR) fixed point model of the late Universe which was proposed recently. It describes a cosmology with a time dependent cosmological constant…

Astrophysics · Physics 2009-11-07 E. Bentivegna , A. Bonanno , M. Reuter

We study the short distance behaviour of euclidean quantum gravity in the light of Weinberg's asymptotic safety scenario. Implications of a non-trivial ultraviolet fixed point are reviewed. Based on an optimised renormalisation group, we…

High Energy Physics - Theory · Physics 2009-11-11 Daniel F. Litim

We present a detailed analysis of the 3+1-split formalism of gravity in the presence of a cosmological constant. The formalism helps revealing the intimate connection between holography and the initial value formulation of gravity. We show…

High Energy Physics - Theory · Physics 2009-02-09 Diego S. Mansi , Anastasios C. Petkou , Giovanni Tagliabue

We revisit gauge invariant cosmological perturbations in UV-modified, z = 3 Horava gravity with one scalar matter field, which has been proposed as a renormalizable gravity theory without the ghost problem in four dimensions. We confirm…

General Relativity and Quantum Cosmology · Physics 2018-01-24 Mu-In Park

We study quantum gravity in more than four dimensions by means of an exact functional flow. A non-trivial ultraviolet fixed point is found in the Einstein-Hilbert theory. It is shown that our results for the fixed point and universal…

High Energy Physics - Theory · Physics 2009-11-11 Peter Fischer , Daniel F. Litim

The $\mathcal{O}(\partial^2)$ background independent flow equations for conformally reduced gravity are shown to be equivalent to flow equations naturally adapted to scalar field theory with a wrong sign kinetic term. This sign change is…

High Energy Physics - Theory · Physics 2016-12-14 Juergen A. Dietz , Tim R. Morris , Zoe H. Slade

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

For cosmologies including scale dependence of both the cosmological and the gravitational constant, an additional consistency condition dictated by the Bianchi identities emerges, even if the energy-momentum tensor of ordinary matter stays…

Astrophysics · Physics 2009-11-10 A. Babic , B. Guberina , R. Horvat , H. Stefancic

Unlike Einstein gravity, dilaton-Maxwell gravity with matter is renormalizable in $2+\epsilon$ dimensions and has a smooth $\epsilon\to 0$ limit.By performing a renormalization- group study of this last theory we show that the gravitational…

High Energy Physics - Theory · Physics 2009-10-28 E. Elizalde , S. D. Odintsov

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

High Energy Physics - Theory · Physics 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

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 propose a novel, higher-derivative, Weyl-invariant and generally-covariant theory for the cosmological constant. This theory is a mimetic construction with gauge fields playing the role of dynamical variables. These fields compose the…

General Relativity and Quantum Cosmology · Physics 2020-01-10 Katrin Hammer , Pavel Jirousek , Alexander Vikman

The importance of the proper treatment of the wave function renormalization in the renormalization group analysis of quantum gravity is pointed out. The renormalization factor, sometimes called an inessential coupling, can be used to fix…

High Energy Physics - Theory · Physics 2023-07-12 Hikaru Kawai , Nobuyoshi Ohta

We show that conformal Chern-Simons gravity in three dimensions has various holographic descriptions. They depend on the boundary conditions on the conformal equivalence class and the Weyl factor, even when the former is restricted to…

High Energy Physics - Theory · Physics 2013-06-18 H. Afshar , B. Cvetkovic , S. Ertl , D. Grumiller , N. Johansson

In this essay and utilizing the holographic Renormalization Group (RG) flow, we demonstrate how the effective action of a non-gravitating quantum field theory in the ultraviolet (UV) develops an Einstein-Hilbert term in the infrared (IR).…

High Energy Physics - Theory · Physics 2026-05-20 M. M. Sheikh-Jabbari , V. Taghiloo

A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is defined a priori. This has potentially…

High Energy Physics - Theory · Physics 2020-02-06 J. Ambjorn , J. Gizbert-Studnicki , A. Goerlich , J. Jurkiewicz , R. Loll

The trace anomaly in external gravity is the sum of three terms at criticality: the square of the Weyl tensor, the Euler density and Box R, with coefficients, properly normalized, called c, a and a', the latter being ambiguously defined by…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi

We consider a Yang-Mills type gauge theory of gravity based on the conformal group SO(4,2) coupled to a conformally invariant real scalar field. The goal is to generate fundamental dimensional constants via spontaneous breakdown of the…

General Relativity and Quantum Cosmology · Physics 2024-11-08 Jack Gegenberg , Gabor Kunstatter

This paper explores the dark sector (dark matter and dark energy) from the perspective of Weyl geometric scalar tensor theory (integrable Weyl geometry). In order to account for the galactic dynamics successfully modelled by MOND ("modified…

General Relativity and Quantum Cosmology · Physics 2022-06-14 Erhard Scholz