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The construction of effective Hamiltonians describing corrections to flat space particle dynamics arising from the granularity of space at very short distances is discussed in the framework of an heuristic approach to the semiclassical…

高能物理 - 唯象学 · 物理学 2008-11-26 Luis F. Urrutia

An one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model includes the two well-known models of loop quantum cosmology as…

广义相对论与量子宇宙学 · 物理学 2021-11-12 Xiangdong Zhang , Gaoping Long , Yongge Ma

Since there are quantization ambiguities in constructing the Hamiltonian constraint operator in isotropic loop quantum cosmology, it is crucial to check whether the key features of loop quantum cosmology are robust against the ambiguities.…

广义相对论与量子宇宙学 · 物理学 2010-04-14 Jinsong Yang , You Ding , Yongge Ma

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck scale corrections. The corresponding Hamiltonian is defined…

高能物理 - 理论 · 物理学 2009-11-07 Jorge Alfaro , Hugo A. Morales-Técotl , Luis F. Urrutia

Since there are quantization ambiguities in constructing the Hamiltonian constraint operator in isotropic loop quantum cosmology, it is crucial to check whether the key features of loop quantum cosmology, such as the quantum bounce and…

广义相对论与量子宇宙学 · 物理学 2009-04-28 Jinsong Yang , You Ding , Yongge Ma

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

We discuss the semiclassical limit of Quantum Reduced Loop Gravity, a recently proposed model to address the quantum dynamics of the early Universe. We apply the techniques developed in full Loop Quantum Gravity to define the semiclassical…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Emanuele Alesci , Francesco Cianfrani

Within the framework of loop quantum cosmology, there exists a semi-classical regime where spacetime may be approximated in terms of a continuous manifold, but where the standard Friedmann equations of classical Einstein gravity receive…

广义相对论与量子宇宙学 · 物理学 2009-11-10 James E. Lidsey

Semiclassical states in isotropic loop quantum cosmology are employed to show that the improved dynamics has the correct classical limit. The effective Hamiltonian for the quantum cosmological model with a massless scalar field is thus…

广义相对论与量子宇宙学 · 物理学 2009-02-27 You Ding , Yongge Ma , Jinsong Yang

Starting from an heuristic approach to the semiclassical limit in loop quantum gravity, the construction of effective Hamiltonians describing Planck length corrections to the propagation of photons and spin 1/2 fermions, leading to modified…

高能物理 - 唯象学 · 物理学 2016-11-09 Luis F. Urrutia

Quantum cosmology implies corrections to the classical equations of motion which may lead to significant departures from the classical trajectory, especially at high curvature near the big-bang singularity. Corrections could in principle be…

广义相对论与量子宇宙学 · 物理学 2014-09-09 Martin Bojowald , David Simpson

We find a nontrivial regime of spinfoam quantum gravity that reproduces classical Einstein equations. This is the double scaling limit of small Immirzi parameter (gamma), large spins (j) with physical area (gamma times j) constant. In…

广义相对论与量子宇宙学 · 物理学 2013-04-30 Elena Magliaro , Claudio Perini

We compute the transition amplitude between coherent quantum-states of geometry peaked on homogeneous isotropic metrics. We use the holomorphic representations of loop quantum gravity and the Kaminski-Kisielowski-Lewandowski generalization…

广义相对论与量子宇宙学 · 物理学 2010-10-27 Eugenio Bianchi , Carlo Rovelli , Francesca Vidotto

$f(R)$ gravity is one of the simplest theories of modified gravity to explain the accelerated cosmic expansion. Although it is usually assumed that the quasi-Newtonian approach (a combination of the quasi-static approximation and sub-Hubble…

广义相对论与量子宇宙学 · 物理学 2015-12-02 Mu-Chen Chiu , Andy Taylor , Chenggang Shu , Hong Tu

Standard perturbative quantum gravity formalism is applied to compute the lowest order corrections to the spatially flat cosmological FLRW solution governed by ordinary matter. The presented approach is analogous to the one used to compute…

广义相对论与量子宇宙学 · 物理学 2016-02-01 Bogusław Broda

In this paper we investigate the scalar mode of first-order metric perturbations over spatially flat FRW spacetime when the holonomy correction is taken into account in the semi-classical framework of loop quantum cosmology. By means of the…

高能物理 - 理论 · 物理学 2010-05-28 Jian-Pin Wu , Yi Ling

Using both the Born-Oppenheimer idea and the de Broglie-Bohm interpretation of wavefunction we represent in a different way the semiclassical quantum gravity from the Wheeler-DeWitt equation in an oscillating regime which can preserve…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Sang Pyo Kim

In this work, we extend the formalism of hybrid loop quantum cosmology for primordial perturbations around a flat, homogeneous, and isotropic universe to the new treatment of Friedmann-Lema\^itre-Robertson-Walker geometries proposed…

广义相对论与量子宇宙学 · 物理学 2020-10-28 Laura Castelló Gomar , Alejandro García-Quismondo , Guillermo A. Mena Marugán

This introductory review is addressed to beginning researchers. Some of the distinguishing features of loop quantum gravity are illustrated through loop quantum cosmology of FRW models. In particular, these examples illustrate: i) how…

广义相对论与量子宇宙学 · 物理学 2010-11-11 Abhay Ashtekar

Loop quantum cosmology is a symmetry reduced quantization of cosmological spacetimes based on loop quantum gravity. While it has been successful in resolution of various cosmological singularities and connecting Planck scale physics to…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Klaus Liegener , Parampreet Singh
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