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We consider non-relativistic point-particles coupled to Einstein gravity and their canonical quantization. From the resulting Wheeler-DeWitt wave equation we determine a quantum version of geometrodynamics, where the coupled evolution of…

广义相对论与量子宇宙学 · 物理学 2021-08-19 Christian Maes , Kasper Meerts , Ward Struyve

In the context of effective field theory, we consider quantum gravity with minimally coupled massless particles. Fixing the background geometry to be of the Kerr-Schild type, we fully determine the one-loop effective action of the theory…

高能物理 - 理论 · 物理学 2015-12-01 Basem Kamal El-Menoufi

An earlier proposed theory with linear-gonihedhic action for quantum gravity is reviewed. One can consider this theory as a "square root" of classical gravity with a new fundamental constant of dimension one. We demonstrate also, that the…

高能物理 - 理论 · 物理学 2009-10-30 G. K. Savvidy

Assuming that time exists, a new, effective formulation of gravity is introduced, which lies in between the Wheeler-DeWitt approach and ordinary QFT. Remarkably, the Penrose-Hawking singularity of usual Friedman-Robertson-Walker cosmologies…

广义相对论与量子宇宙学 · 物理学 2009-01-20 Jaume Haro , Emilio Elizalde

The absence of Birkhoff's theorem in effective quantum gravity models leads to a fundamental ambiguity in the vacuum sector, where a priori no unique vacuum solution exists. As a result, phenomenological investigations of the physical…

广义相对论与量子宇宙学 · 物理学 2026-01-01 Kristina Giesel , Hongguang Liu

We quantize a homogeneous and isotropic universe for two models of modified teleparallel gravity, wherein an arbitrary function of the boundary term, namely $B$, is present in the action and in the other model a scalar field that is…

广义相对论与量子宇宙学 · 物理学 2024-05-07 H. Amiri , K. Atazadeh , H. Hadi

Quantum Einstein Gravity (QEG), nonperturbatively renormalized by means of a certain asymptotically safe renormalization group (RG) trajectory, is explored by solving its scale dependent effective field equations and embedding the family of…

高能物理 - 理论 · 物理学 2023-01-18 Renata Ferrero , Martin Reuter

Cosmological models in 1+1 dimensions are an ideal setting for investigating the quantum structure of inflationary dynamics -- gravity is renormalizable, while there is room for spatial structure not present in the minisuperspace…

高能物理 - 理论 · 物理学 2015-09-16 Emil J. Martinec , Wynton E. Moore

We construct and study perturbative unitarity (i.e., ghost and tachyon analysis) of a $3+1$-dimensional noncompact Weyl-Einstein-Yang-Mills model. The model describes a local noncompact Weyl's scale plus $SU(N)$ phase invariant Higgs-like…

高能物理 - 理论 · 物理学 2017-07-11 Suat Dengiz

A "quantum-first" approach to gravity is described, where rather than quantizing general relativity, one seeks to formulate the physics of gravity within a quantum-mechanical framework with suitably general postulates. Important guides are…

高能物理 - 理论 · 物理学 2018-05-23 Steven B. Giddings

Caianiello's derivation of Quantum Geometry through an isometric embedding of the spacetime ({\bf M},\tilde{g}) in the pseudo-Riemannian structure ({\bf T^*M},g^*_{AB}) is reconsidered. In the new derivation, a non-linear connection and the…

广义相对论与量子宇宙学 · 物理学 2020-12-01 Ricardo Gallego Torrome

In several approaches towards a quantum theory of gravity, such as group field theory and loop quantum gravity, quantum states and histories of the geometric degrees of freedom turn out to be based on discrete spacetime. The most pressing…

广义相对论与量子宇宙学 · 物理学 2018-08-01 Johannes Thürigen

We quantise the new connection formulation of D+1 dimensional General Relativity developed in our companion papers by Loop Quantum Gravity (LQG) methods. It turns out that all the tools prepared for LQG straightforwardly generalise to the…

广义相对论与量子宇宙学 · 物理学 2013-02-13 Norbert Bodendorfer , Thomas Thiemann , Andreas Thurn

We formulate quantum field theory in triangulated spacetime using compositional quantum field theory and tensor network methods. We show that gravitational interactions emerge as a low-energy effective phenomenon in this framework. For…

高能物理 - 理论 · 物理学 2025-05-13 Matti Raasakka

We discuss the quantization of Delta gravity, a two symmetric tensors model of gravity. This model, in Cosmology, shows accelerated expansion without a cosmological constant. We present the $\tilde{\delta}$ transformation which defines the…

广义相对论与量子宇宙学 · 物理学 2015-05-19 Jorge Alfaro , Pablo González , Ricardo Avila

A quantization of unimodular gravity is described, which results in a quantum effective action which is also unimodular, ie a function of a metric with fixed determinant. A consequence is that contributions to the energy momentum tensor of…

高能物理 - 理论 · 物理学 2013-05-29 Lee Smolin

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…

广义相对论与量子宇宙学 · 物理学 2022-04-20 Giulia Maniccia , Giovanni Montani

Inspired by the recent proposal for the quantum effective dynamics of the Schwarzschild spacetime given in \cite{AOS1}, we investigate the effective dynamics of the loop quantized Janis-Newman-Winicour (JNW) spacetime which is an extension…

广义相对论与量子宇宙学 · 物理学 2020-04-07 Cong Zhang , Xiangdong Zhang

The scheme of using the Chern-Simons action to regularize the gravitational Hamiltonian constraint is extended to including the Lorentzian term in the $k=0$ cosmological model. The Euclidean term and the Lorenzian term are thus regularized…

广义相对论与量子宇宙学 · 物理学 2020-10-12 Jinsong Yang , Cong Zhang , Yongge Ma

In this paper the non-local finite quantum-gravity framework is incorporated into the Complex non-Riemannian Holomorphic Unified Field Theory formulated on a complexified four-dimensional manifold. By introducing entire-function regulators…

综合物理 · 物理学 2025-07-22 J. W. Moffat , E. J. Thompson