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In the spirit of Sakharov's `metric elasticity' proposal, we draw a loose analogy between general relativity and the hydrodynamic state of a quantum gas. In the `top-down' approach, we examine the various conditions which underlie the…

General Relativity and Quantum Cosmology · Physics 2016-08-31 B. L. Hu

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

We construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the…

High Energy Physics - Theory · Physics 2015-04-30 Maximilian Demmel , Frank Saueressig , Omar Zanusso

The Einstein-Cartan theory of gravity can arise from a mechanism of spontaneous symmetry breaking within the context of pre-geometric gauge theories. In this work, we develop the Hamiltonian analysis of such theories. By making contact with…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Andrea Addazi , Salvatore Capozziello , Antonino Marcianò , Giuseppe Meluccio

Quantum gravity is analyzed from the viewpoint of the renormalization group. The analysis is based on methods introduced by J. Polchinski concerning the perturbative renormalization with flow equations. In the first part of this work, the…

High Energy Physics - Theory · Physics 2007-05-23 Falk Neugebohrn

In this talk, I present a theory of quantum gravity beyond Einstein. The theory is established based on spinnic and scaling gauge symmetries by treating the gravitational force on the same footing as the electroweak and strong forces. A…

High Energy Physics - Theory · Physics 2015-11-04 Yue-Liang Wu

We evaluate the phase diagram of quantum gravity within a fully diffeomorphism-invariant renormalisation group approach. The construction is based on the geometrical or Vilkovisky-DeWitt effective action. We also resolve the difference…

High Energy Physics - Theory · Physics 2012-03-20 Ivan Donkin , Jan M. Pawlowski

We give a summary of the status of current research in stochastic semiclassical gravity and suggest directions for further investigations. This theory generalizes the semiclassical Einstein equation to an Einstein-Langevin equation with a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 B. L. Hu

A new exact renormalization group equation for the effective average action of Euclidean quantum gravity is constructed. It is formulated in terms of the component fields appearing in the transverse-traceless decomposition of the metric. It…

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

A version of the cosmological perturbation theory in general relativity (GR) is developed, where the cosmological scale factor is identified with spatial averaging of the metric determinant logarithm and the cosmic evolution acquires the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 B. M. Barbashov , V. N. Pervushin , A. F. Zakharov , V. A. Zinchuk

We compute non-perturbative flow equations for the couplings of quantum gravity in fourth order of a derivative expansion. The gauge invariant functional flow equation for arbitrary metrics allows us to extract $\beta$-functions for all…

High Energy Physics - Theory · Physics 2022-03-24 Saswato Sen , Christof Wetterich , Masatoshi Yamada

We analyze the effect induced on standard quantum field theory (in functional approach) by quantum gravity corrections to a pure classical background. In the framework of the Kucha\v{r} and Torre proposal for a gravity-matter theory…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Giulia Maniccia , Giovanni Montani

We perform canonical quantization of General Relativity, as an effective quantum field theory below the Planck scale, within the BRST-invariant framework. We show that the promotion of constraints to dynamical equations of motion for…

High Energy Physics - Theory · Physics 2024-09-30 Lasha Berezhiani , Gia Dvali , Otari Sakhelashvili

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

High Energy Physics - Theory · Physics 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

We present a first analysis of a nonperturbative approach to quantum gravity based on a representation of quantum field theory in terms of stochastic processes. The stochastic description accommodates a physical Lorentz-invariant…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Joshua Erlich

We study a correspondence between gravitational shockwave geometry and its fluid description near a Rindler horizon in Minkowski spacetime. Utilizing the Petrov classification that describes algebraic symmetries for Lorentzian spaces, we…

High Energy Physics - Theory · Physics 2024-07-29 Sang-Eon Bak , Cynthia Keeler , Yiwen Zhang , Kathryn M. Zurek

Physical spacetime geometry follows from some effective thermodynamics of quantum states of all fields and particles described in frames of General Relativity. In the sense of pure field theoretical Einstein's point of view on gravitation…

General Relativity and Quantum Cosmology · Physics 2008-08-27 L. A. Glinka

This thesis studies modified theories of gravity from a geometric viewpoint. We review the motivations for considering alternatives to General Relativity and cover the mathematical foundations of gravitational theories in Riemannian and…

General Relativity and Quantum Cosmology · Physics 2024-01-24 Erik Jensko

General covariance in quantum gravity is seen once one integrates over all possible metrics. In recent years topological field theories have given us a different route to general covariance without integrating over all possible metrics.…

High Energy Physics - Theory · Physics 2010-04-06 Andrew Toon

Einstein's general relativity can emerge from pregeometry, with the metric composed of more fundamental fields. We formulate euclidean pregeometry as a $SO(4)$ - Yang-Mills theory. In addition to the gauge fields we include a vector field…

General Relativity and Quantum Cosmology · Physics 2021-09-21 Christof Wetterich
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