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In loop quantum gravity approach to Planck scale physics, quantum geometry is represented by superposition of the so-called spin network states. In the recent literature, a class of spin networks promising from the perspective of quantum…

广义相对论与量子宇宙学 · 物理学 2021-02-17 Grzegorz Czelusta , Jakub Mielczarek

We construct the covariant effective field theory of gravity as an expansion in inverse powers of the Planck mass, identifying the leading and next-to-leading quantum corrections. We determine the form of the effective action for the cases…

广义相对论与量子宇宙学 · 物理学 2016-11-08 Alessandro Codello , Rajeev Kumar Jain

Spin network states are a powerful tool for constructing the $SU(2)$ gauge theories on a graph. In loop quantum gravity (LQG), they have yielded many promising predictions, although progress has been limited by the computational challenge…

广义相对论与量子宇宙学 · 物理学 2023-04-10 Grzegorz Czelusta , Jakub Mielczarek

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

We give a general expression for the static potential energy of the gravitational interaction of two massive particles, in terms of an invariant vacuum expectation value of the quantized gravitational field. This formula holds for…

高能物理 - 理论 · 物理学 2009-10-28 Giovanni Modanese

a previous evaluation of the one-graviton loop corrections to the energy-momentum tensor has been extended to particles with unit spin and speculations are presented concerning general properties of such forms.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Barry R. Holstein

As an attempt to realize Wheeler's "it-from-bit proposal" that physics should be reduced to simple yes-no questions we consider a model of loop quantum gravity, where the only allowed values of the quantum numbers $j_p$ at the punctures of…

广义相对论与量子宇宙学 · 物理学 2019-08-07 Jarmo Mäkelä

We compute the one-loop contributions of the chronological products for massless gravity in the second order of the perturbation theory. We prove that the loop contributions are coboundaries i.e. expressions which give zero when averaged on…

高能物理 - 理论 · 物理学 2019-05-15 Dan-Radu Grigore

Within the framework of Quantum Reduced Loop Gravity we quantize the Hamiltonian for a gauge vector field. The regularization can be performed using tools analogous to the ones adopted in full Loop Quantum Gravity, while the matrix elements…

广义相对论与量子宇宙学 · 物理学 2017-06-07 Jakub Bilski , Emanuele Alesci , Francesco Cianfrani , Pietro Donà , Antonino Marciano

Quantum gravity is sometimes considered as a kind of metaphysical speculation. In this review, we show that, although still extremely difficult to reach, observational signatures can in fact be expected. The early universe is an invaluable…

广义相对论与量子宇宙学 · 物理学 2015-06-17 A. Barrau , T. Cailleteau , J. Grain , J. Mielczarek

We derive the Gauss-Codazzi equation in the holonomy and plane-angle representations and we use the result to write a Gauss-Codazzi equation for a discrete (2+1)-dimensional manifold, triangulated by isosceles tetrahedra. This allows us to…

广义相对论与量子宇宙学 · 物理学 2016-08-01 Seramika Ariwahjoedi , Jusak Sali Kosasih , Carlo Rovelli , Freddy P. Zen

We adopt a novel approach to combine path integral methods with Loop Quantum Gravity (LQG). Our approach builds upon the recently developed coherent state path integral formulation of LQG to compute the one-loop effective action. We compare…

广义相对论与量子宇宙学 · 物理学 2025-02-12 Renata Ferrero , Muxin Han , Hongguang Liu

Small violations of spacetime symmetries have recently been identified as promising Planck-scale signals. This talk reviews how such violations can arise in various approaches to quantum gravity, how the emergent low-energy effects can be…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Ralf Lehnert

In the past, the possibility to employ (scalar) material reference systems in order to describe classical and quantum gravity directly in terms of gauge invariant (Dirac) observables has been emphasised frequently. This idea has been picked…

广义相对论与量子宇宙学 · 物理学 2022-12-05 Kristina Giesel , Thomas Thiemann

We describe how the Barrett-Crane spin foam model defines transition amplitudes for quantum gravity states and how causality can be consistently implemented in it.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Etera R. Livine , Daniele Oriti

We present a group of transformations in the quantum configuration space of loop quantum gravity that contains the set of all transformations generated by the flux variables.

广义相对论与量子宇宙学 · 物理学 2009-12-16 J. M. Velhinho

It has been known for some time now that error correction plays a fundamental role in the determining the emergence of semiclassical geometry in quantum gravity. In this work I connect several different lines of reasoning to argue that this…

高能物理 - 理论 · 物理学 2022-05-18 Deepak Vaid

Quantum field theory provides us with the means to calculate scattering amplitudes. In recent years a dramatic new development has lead to great simplification of such calculations. This is based on the discovery of the``amplituhedron'' in…

高能物理 - 理论 · 物理学 2022-08-24 Deepak Vaid , Devadharshini Suresh

In the last 20 years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous,…

广义相对论与量子宇宙学 · 物理学 2007-06-25 Muxin Han

Spin networks are natural generalization of Wilson loops functionals. They have been extensively studied in the case where the gauge group is compact and it has been shown that they naturally form a basis of gauge invariant observables.…

高能物理 - 理论 · 物理学 2015-06-26 Laurent Freidel , Etera R. Livine
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