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..."but we do not have quantum gravity." This phrase is often used when analysis of a physical problem enters the regime in which quantum gravity effects should be taken into account. In fact, there are several models of the gravitational…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Marcin Domagala , Kristina Giesel , Wojciech Kaminski , Jerzy Lewandowski

On the basis of a limited number of reasonable axioms, we discuss the classification of all the possible universality classes of diffeomorphisms invariant metric theories of quantum gravity. We use the language of the renormalization group…

High Energy Physics - Theory · Physics 2021-08-05 Riccardo Martini , Alessandro Ugolotti , Omar Zanusso

This essay constitutes a review of the information geometric approach to renormalization developed in the recent works of B\'eny and Osborne as well as a detailed work-through of some of their contents. A noncommutative generalization of…

Quantum Physics · Physics 2016-09-30 John B. DeBrota

It is generally believed that quantum gravity is necessary to resolve the known tensions between general relativity and the quantum field theories of the standard model. Since perturbatively quantized gravity is non-renormalizable, the…

General Relativity and Quantum Cosmology · Physics 2013-09-05 S. Hossenfelder

We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety program in Quantum Einstein Gravity. Using the continuum approach based upon the effective average action, we summarize the state of the art of the…

High Energy Physics - Theory · Physics 2015-06-04 Martin Reuter , Frank Saueressig

We propose to include gravity in quantum field theory non-perturbatively, by modifying the propagators so that each virtual particle in a Feynman graph move in the space-time determined by the four-momenta of the other particles in the same…

High Energy Physics - Theory · Physics 2015-05-13 Roberto Casadio

The idea that quantum gravity manifestations would be associated with a violation of Lorentz invariance is very strongly bounded and faces serious theoretical challenges. Other related ideas seem to be drowning in interpretational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Daniel Sudarsky

A theoretical framework for the quantization of gravity has been an elusive Holy Grail since the birth of quantum theory and general relativity. While generations of scientists have attempted solutions to this deep riddle, an alternative…

General Relativity and Quantum Cosmology · Physics 2021-11-05 Francesco Coradeschi , Antonia Micol Frassino , Thiago Guerreiro , Jennifer Rittenhouse West , Enrico Junior Schioppa

Quantum gravitational effects on the renormalization group equation are studied in the $(2+\epsilon)$-dimensional approach. Divergences in a matter one-loop effective action do not receive gravitational radiative corrections. The…

High Energy Physics - Theory · Physics 2009-10-22 Y. Tanii , S. Kojima , N. Sakai

Quantum gravity phenomenology has been historically regarded as a difficult endeavour, due to the apparent scarcity of phenomena involving the required scales of length (Planck length $l_P$) and energy (Planck energy $E_P$). It was…

High Energy Physics - Phenomenology · Physics 2023-10-10 Andrea Bevilacqua , Jerzy Kowalski-Glikman , Wojciech Wislicki

In this work, we make quantization of gravitation interaction within the framework of a vector theory of gravitation for the first time. The work demonstrates that this theory meets the requirement of renormalizability. Here we consider…

General Relativity and Quantum Cosmology · Physics 2012-10-29 V. N. Borodikhin

The quantization scheme based on reduction of the physical states \cite{Park:2014tia} is extended to two gravity-matter systems and pure dS gravity. For the gravity-matter systems we focus on quantization in a flat background for…

High Energy Physics - Theory · Physics 2017-05-09 I. Y. Park

Euclidean quantum gravity is studied with renormalisation group methods. Analytical results for a non-trivial ultraviolet fixed point are found for arbitrary dimensions and gauge fixing parameter in the Einstein-Hilbert truncation.…

High Energy Physics - Theory · Physics 2010-04-06 Daniel F. Litim

Recent advances in cooling, control, and measurement of mechanical systems in the quantum regime have opened the possibility of the first direct observation of quantum gravity, at scales achievable in experiments. This paper gives a broad…

Quantum Physics · Physics 2019-01-23 Daniel Carney , Philip C. E. Stamp , Jacob M. Taylor

The tensor track is a background-independent discretization of quantum gravity which includes a sum over all topologies. We discuss how to define a functional renormalization group flow and the Wetterich equation in the corresponding theory…

High Energy Physics - Theory · Physics 2016-01-20 Vincent Rivasseau

We study quantum gravity in $2+\epsilon$ dimensions in such a way to preserve the volume preserving diffeomorphism invariance. In such a formulation, we prove the following trinity: the general covariance, the conformal invariance and the…

High Energy Physics - Theory · Physics 2011-08-17 T. Aida , Y. Kitazawa , H. Kawai , M. Ninomiya

Recently, a practical approach to holographic renormalization has been developed based on the Hamilton-Jacobi formulation. Using a simple Einstein-scalar theory, we clarify that this approach does not conflict with the Hamiltonian…

High Energy Physics - Theory · Physics 2019-07-17 Fan Chen , Shao-Feng Wu , Yuxuan Peng

With the discovery of gravitational waves, the search for the quantum of gravity, the graviton, is imminent. We discuss the current status of the bounds on graviton mass from experiments as well as the theoretical understanding of these…

General Relativity and Quantum Cosmology · Physics 2023-03-10 Arundhati Dasgupta , José Fajardo-Montenegro

Understanding the collective behavior of a quantum many-body system, a system composed of a large number of interacting microscopic degrees of freedom, is a key aspect in many areas of contemporary physics. However, as a direct consequence…

Quantum Physics · Physics 2011-09-27 Glen Evenbly

Experiments have recently been proposed testing whether quantum gravitational interactions generate entanglement between adjacent masses in position superposition states. We propose potentially less challenging experiments that test quantum…

General Relativity and Quantum Cosmology · Physics 2021-05-03 Adrian Kent