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We consider two-dimensional quantum gravity coupled to matter fields which are renormalizable, but not conformal invariant. Questions concerning the $\b$ function and the effective action are addressed, and the effective action and the…

High Energy Physics - Theory · Physics 2009-10-22 Jan Ambjorn , Kazuo Ghoroku

For purposes of quantization, classical gravity is normally expressed by canonical variables, namely the metric $g_{ab}(x)$ and the momentum $\pi^{cd}(x)$. Canonical quantization requires a proper promotion of these classical variables to…

General Relativity and Quantum Cosmology · Physics 2020-04-22 John R. Klauder

We discuss the challenges that the standard (Humean and non-Humean) accounts of laws face within the framework of quantum gravity where space and time may not be fundamental. This paper identifies core (meta)physical features that cut…

History and Philosophy of Physics · Physics 2024-04-22 Vincent Lam , Daniele Oriti

We compute explicitly the equations of motion of the Hamiltonian formulation of quadratic gravity. This is the theory with the most general Lagrangian with terms of quadratic order in the curvature tensor. We employ the symbolic…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Jorge Bellorin

Quantum revivals are investigated for the dynamics of an atom in a driven gravitational cavity. It is demonstrated that the external driving field influences the revival time significantly. Analytical expressions are presented which are…

Quantum Physics · Physics 2009-11-06 F. Saif , G. Alber , V. Savichev , W. P. Schleich

The incompatibility between GR and QM is generally seen as a sufficient motivation for the development of a theory of Quantum Gravity. If - so a typical argumentation - QM gives a universally valid basis for the description of all natural…

General Relativity and Quantum Cosmology · Physics 2009-02-03 Reiner Hedrich

We show that a previously proposed new mechanism to eliminate quadratic divergences for scalar masses is self-consistently compatible with corrections induced by perturbative quantum gravity, provided the theory embeds consistently into a…

High Energy Physics - Theory · Physics 2019-02-20 Krzysztof A. Meissner , Hermann Nicolai , Jan Plefka

It is postulated that quantum gravity is a sum over causal structures coupled to matter via scale evolution. Quantized causal structures can be described by studying simple matrix models where matrices are replaced by an algebra of quantum…

High Energy Physics - Theory · Physics 2015-07-01 R. Bonezzi , O. Corradini , E. Latini , A. Waldron

The metric tensor field equations for the general quadratic curvature gravity in four spacetime dimensions are derived by making use of the algebra of the exterior forms defined on pseudo-Riemannian manifolds and the identities satisfied by…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Metin Arık , Ahmet Baykal , Tekin Dereli , Taner Tanrıverdi

We have recently undergone an analysis of gravitational theories as defined in first order formalism, where the metric and the connection are treated as independent fields. The physical meaning of the connection field has historically been…

High Energy Physics - Theory · Physics 2018-10-17 Enrique Alvarez , Jesus Anero , Sergio Gonzalez-Martin , Raquel Santos-Garcia

QFT vector models are a newly developed approach to quantum gravity, which are based on induced gravity in discrete spacetimes. Here we review some basic definitions and properties of these models and point out directions for future…

General Relativity and Quantum Cosmology · Physics 2026-04-09 Matti Raasakka

A general introduction is given to what can be predicated about quantum gravity once the lessons from the standard model of particle physics are taken into account. In particular, the effective lagrangian point of view is briefly commented…

High Energy Physics - Theory · Physics 2011-09-28 Enrique Alvarez

Quantum gravity--the marriage of quantum physics with general relativity--is bound to contain deep and important lessons for the nature of physical time. Some of these lessons shall be canvassed here, particularly as they arise from quantum…

History and Philosophy of Physics · Physics 2013-08-13 Nick Huggett , Tiziana Vistarini , Christian Wuthrich

This work systematically investigates the post-Newtonian behavior of general quadratic gravity in the weak-field regime. By extending the Einstein-Hilbert action to include quadratic curvature terms as $\mathcal{L}\propto R-\lambda C^2+\mu…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Jie Zhu , Hao Li

In this proceedings for the MG14 conference, we discuss the construction of a phenomenology of Planck-scale effects in curved spacetimes, underline a few open issues and describe some perspectives for the future of this research line.

General Relativity and Quantum Cosmology · Physics 2019-02-27 Niccoló Loret , Leonardo Barcaroli , Giulia Gubitosi

By attaching basis vectors to the components of matter fields, one may render free action densities fully covariant. Both the connection and the tetrads are quadratic forms in these basis vectors. The metric of spacetime, which is quadratic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kevin Cahill

I review and discuss some recent developments in non-perturbative approaches to quantum gravity, with an emphasis on discrete formulations, and those coming from a classical connection description.

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Loll

The quadratic curvature lagrangians having metric field equations with second order trace are constructed relative to an orthonormal coframe. In $n>4$ dimensions, pure quadratic curvature lagrangian having second order trace constructed…

General Relativity and Quantum Cosmology · Physics 2012-07-17 Ahmet Baykal

We give a review of recent work aimed at understanding the dynamics of gravitational collapse in quantum gravity. Its goal is to provide a non-perturbative computational framework for understanding the emergence of the semi-classical…

General Relativity and Quantum Cosmology · Physics 2008-01-09 Viqar Husain

Quantum gravitational corrections to the effective potential, at one-loop level and in the leading-log approximation, for scalar quantum electrodynamics with higher-derivative gravity ---which is taken as an effective theory for quantum…

High Energy Physics - Theory · Physics 2009-09-25 Emilio Elizalde , Sergei D. Odintsov , August Romeo