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Related papers: Asymptotically Safe Hilbert-Palatini Gravity in an…

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An interpretation of Einstein-Hilbert gravity equations as Lagrangian reduction of Palatini gravity is made. The main technique involved in this task consists in representing the equations of motion as a set of differential forms on a…

Mathematical Physics · Physics 2020-06-02 Santiago Capriotti

We explore the Renormalization Group flow of massive uncharged fermions -- a candidate for dark matter -- coupled to a scalar field through a Higgs portal. We find that fermionic fluctuations can lower the bound on the scalar mass that…

High Energy Physics - Phenomenology · Physics 2018-09-26 Astrid Eichhorn , Aaron Held , Peter Vander Griend

We compute leading order quantum gravity contributions to a simple scalar scattering amplitude in Asymptotic Safety. Our model admits an analytic treatment so that several subtleties can be analysed. We find that (i) the existence of an…

High Energy Physics - Theory · Physics 2026-03-18 Benjamin Knorr

We critically examine the gauge, and field-parametrization dependence of renormalization group flows in the vicinity of non-Gau\ss{}ian fixed points in quantum gravity. While physical observables are independent of such calculational…

High Energy Physics - Theory · Physics 2015-10-14 Holger Gies , Benjamin Knorr , Stefan Lippoldt

We propose a method for the (re)-construction of a regularized functional integral, well defined in the ultraviolet limit, from a solution of the functional renormalization group equation of the effective average action. The functional…

High Energy Physics - Theory · Physics 2011-08-17 Elisa Manrique , Martin Reuter

We compute the $\beta$-functions of marginal couplings in projectable Ho\v{r}ava gravity in $2+1$ spacetime dimensions. We show that the renormalization group flow has an asymptotically-free fixed point in the ultraviolet (UV), establishing…

High Energy Physics - Theory · Physics 2018-04-27 Andrei O. Barvinsky , Diego Blas , Mario Herrero-Valea , Sergey M. Sibiryakov , Christian F. Steinwachs

Unimodular gravity is classically equivalent to standard Einstein gravity, but differs when it comes to the quantum theory: The conformal factor is non-dynamical, and the gauge symmetry consists of transverse diffeomorphisms only.…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Astrid Eichhorn

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

Models of gravity with variable G and Lambda have acquired greater relevance after the recent evidence in favour of the Einstein theory being nonperturbatively renormalizable in the Weinberg sense. The present paper applies the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Alfio Bonanno , Giampiero Esposito , Claudio Rubano

Asymptotic safety offers a field theory based UV completion to gravity. For low Planck scales, gravitational effects on low-energy precision observables cannot be neglected. We compute the contribution to the rho parameter from…

High Energy Physics - Phenomenology · Physics 2015-03-17 Erik Gerwick

We present an implicit-explicit well-balanced finite volume scheme for the Euler equations with a gravitational source term which is able to deal also with low Mach flows. To visualize the different scales we use the non-dimensionalized…

Numerical Analysis · Mathematics 2020-08-26 Andrea Thomann , Gabriella Puppo , Christian Klingenberg

The scaling properties of quantum gravity are discussed by employing a class of proper-time regulators in the functional flow equation for the conformal factor within the formalism of the background field method. Renormalization group…

High Energy Physics - Theory · Physics 2013-12-10 Alfio Bonanno , Filippo Guarnieri

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

We show that Einstein's gravity coupled to a non-minimally coupled scalar field is stable even for high values of the scalar field, when the sign of the Einstein-Hilbert action is reversed. We also discuss inflationary solutions and a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Raul Abramo , L. Brenig , E. Gunzig

In this work, we analyze the Wheeler-DeWitt equation with scale-dependent gravitational couplings within the framework of asymptotically safe gravity. In the Hamiltonian formulation based on a renormalization-group improved Einstein-Hilbert…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Takamasa Kanai

We use a functional renormalization group equation tailored to the Arnowitt-Deser-Misner formulation of gravity to study the scale-dependence of Newton's coupling and the cosmological constant on a background spacetime with topology…

High Energy Physics - Theory · Physics 2017-09-13 W. B. Houthoff , A. Kurov , F. Saueressig

In a classical theory of gravity, the Barbero-Immirzi parameter ($\eta$) appears as a topological coupling constant through the Lagrangian density containing the Hilbert-Palatini term and the Nieh-Yan invariant. In a quantum framework, the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Sandipan Sengupta

Unimodular gravity is classically equivalent to General Relativity. This equivalence extends to actions which are functions of the curvature scalar. At the quantum level, the dynamics could differ. Most importantly, the cosmological…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Astrid Eichhorn

High-energy completeness of quantum electrodynamics (QED) can be induced by an interacting ultraviolet fixed point of the renormalization flow. We provide evidence for the existence of two of such fixed points in the subspace spanned by the…

High Energy Physics - Theory · Physics 2022-01-24 Holger Gies , Jobst Ziebell

We analyze the conceptual role of background independence in the application of the effective average action to quantum gravity. Insisting on a background independent renormalization group (RG) flow the coarse graining operation must be…

High Energy Physics - Theory · Physics 2009-10-29 Martin Reuter , Holger Weyer