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Two of the most fundamental problems at the nexus of Einstein's classical General Relativity (GR) and Quantum Field Theory (QFT) are: (1) complete gravitational collapse, presumed in classical GR to lead to a Black Hole (BH) horizon and…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Emil Mottola

Recently we showed that in FLRW cosmology, the contribution from higher curvature terms in any generic metric gravity theory to the energy-momentum tensor is of the perfect fluid form. Such a geometric perfect fluid can be interpreted as a…

General Relativity and Quantum Cosmology · Physics 2024-08-07 Metin Gürses , Yaghoub Heydarzade , Çetin Şentürk

Using the Cartan formulation of General Relativity, we construct a well defined lattice-regularized theory capable to describe large non-perturbative quantum fluctuations of the frame field (or the metric) and of the spin connection. To…

High Energy Physics - Theory · Physics 2011-09-02 Dmitri Diakonov

Based on the canonical quantization of $d>2$ dimensional general relativity (GR) via the Dirac constraint formalism (also termed as `constraint quantization'), we propose the loss of covariance as a fundamental property of the theory. This…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Farrukh A. Chishtie

We study four-dimensional quantum gravity using non-perturbative renormalization group methods. We solve the corresponding equations for the fully momentum-dependent propagator, Newton's coupling and the cosmological constant. For the first…

High Energy Physics - Theory · Physics 2016-02-17 Nicolai Christiansen , Benjamin Knorr , Jan M. Pawlowski , Andreas Rodigast

We consider the emergence from quantum entanglement of spacetime geometry in a bulk region. For certain classes of quantum states in an appropriately factorized Hilbert space, a spatial geometry can be defined by associating areas along…

High Energy Physics - Theory · Physics 2018-04-11 ChunJun Cao , Sean M. Carroll

We re-examine the quantum geometrodynamical approach within the Eddington-inspired-Born-Infeld theory of gravity, which was first proposed in our previous work [1]. A thorough analysis of the classical Hamiltonian with constraints is…

General Relativity and Quantum Cosmology · Physics 2018-12-31 Mariam Bouhmadi-López , Che-Yu Chen , Pisin Chen

The exact renormalization group equation for pure quantum gravity is used to derive the non-perturbative $\Fbeta$-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert…

High Energy Physics - Theory · Physics 2010-04-06 M. Reuter , F. Saueressig

A kind of topological field theory is proposed as a candidate to describe the global structure of the 2-form Einstein gravity with or without a cosmological constant. Indeed in the former case, we show that a quantum state in the candidate…

High Energy Physics - Theory · Physics 2009-10-22 H. Y. Lee , A. Nakamichi , T. Ueno

The main goal of this thesis is to quantize the Einstein-Hilbert action extended by the quadratic curvature terms within the canonical quantization approach, thus formulating quantum geometrodynamics of the higher derivative theories. The…

General Relativity and Quantum Cosmology · Physics 2020-08-18 Branislav Nikolic

We present a holomorphic framework in which gravity, gauge interactions, and their couplings to charges and currents emerge from a single geometric action on a four-complex-dimensional manifold. The Hermitian metric yields on the real slice…

General Physics · Physics 2025-11-21 John. W. Moffat , Ethan. J. Thompson

Recently proposed double trace deformations of large $N$ holographic CFTs in four dimensions define a one parameter family of quantum field theories, which are interpreted in the bulk dual as living on successive finite radius…

High Energy Physics - Theory · Physics 2018-12-20 Vasudev Shyam

We investigate the effect on cosmological evolution of a strongly coupled quantum field that undergoes renormalization group flow from a UV CFT to an IR CFT. The field theory is defined by perturbation of a holographic CFT by a relevant…

High Energy Physics - Theory · Physics 2025-08-12 Mark Van Raamsdonk , Rana Zibakhsh

We give a general procedure, in the group field theory (GFT) formalism for quantum gravity, for constructing states that describe macroscopic, spatially homogeneous universes. These states are close to coherent (condensate) states used in…

General Relativity and Quantum Cosmology · Physics 2014-06-06 Steffen Gielen , Daniele Oriti , Lorenzo Sindoni

Quadratic gravity is a UV completion of general relativity, which also solves the hierarchy problem. The presence of 4 derivatives implies via the Ostrogradsky theorem that the $classical$ Hamiltonian is unbounded from below. Here we solve…

General Relativity and Quantum Cosmology · Physics 2019-05-15 Alberto Salvio

15 years ago Dmitry Diakonov wrote the paper "Towards lattice-regularized Quantum Gravity", arXiv:1109.0091. In his approach, gravity with metric and tetrads arise from pre-geometric quantum fields leading to unusual dimensions of physical…

General Physics · Physics 2026-02-26 G. E. Volovik

We initiate a non-perturbative study of anisotropic, non-conformal and confining gauge theories that are holographically realized in gravity by generic Einstein-Axion-Dilaton systems. In the vacuum our solutions describe RG flows from a…

High Energy Physics - Theory · Physics 2018-09-25 Dimitrios Giataganas , Umut Gürsoy , Juan F. Pedraza

Collective modes propagating in a moving superfluid are known to satisfy wave equations in a curved space time, with a metric determined by the underlying superflow. We use the Keldysh technique in a curved space-time to develop a quantum…

Quantum Gases · Physics 2018-07-03 Aydin Cem Keser , Victor Galitski

Motivated by the conjecture that the cosmological constant problem could be solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a…

High Energy Physics - Theory · Physics 2009-11-07 M. Reuter , F. Saueressig

Starting from an ultraviolet fixed point, we study the infrared behavior of quantum Weyl gravity in terms of a functional renormalization group (RG) flow equation. To do so, we employ two classes of Bach-flat backgrounds, namely maximally…

High Energy Physics - Theory · Physics 2020-05-19 Petr Jizba , Leslaw Rachwal , Jaroslav Knap
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