LQG propagator from the new spin foams
arXiv:0905.4082 · doi:10.1016/j.nuclphysb.2009.07.016
Abstract
We compute metric correlations in loop quantum gravity with the dynamics defined by the new spin foam models. The analysis is done at the lowest order in a vertex expansion and at the leading order in a large spin expansion. The result is compared to the graviton propagator of perturbative quantum gravity.
28 pages
References in corpus (41)
- Background Independent Quantum Gravity: A Status Report
- Discreteness of area and volume in quantum gravity
- General relativity as an effective field theory: The leading quantum corrections
- Quantum Theory of Gravity I: Area Operators
- Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
- LQG vertex with finite Immirzi parameter
- Relativistic spin networks and quantum gravity
- A new spinfoam vertex for quantum gravity
- A New Spin Foam Model for 4d Gravity
- The loop-quantum-gravity vertex-amplitude
- Group Field Theory: An overview
- Flipped spinfoam vertex and loop gravity
- Asymptotic analysis of the EPRL four-simplex amplitude
- On the semiclassical limit of 4d spin foam models
- Graviton propagator from background-independent quantum gravity
- A "general boundary" formulation for quantum mechanics and quantum gravity
- A length operator for canonical quantum gravity
- The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
- Quantum Theory of Geometry III: Non-commutativity of Riemannian Structures
- The Semiclassical Limit of Loop Quantum Cosmology
- The length operator in Loop Quantum Gravity
- General boundary quantum field theory: Foundations and probability interpretation
- Quantum geometry from phase space reduction
- The complete LQG propagator: II. Asymptotic behavior of the vertex
- A note on area variables in Regge calculus
- Group Integral Techniques for the Spinfoam Graviton Propagator
- Path integral representation of spin foam models of 4d gravity
- Operators for quantized directions
- Towards the graviton from spinfoams: higher order corrections in the 3d toy model
- Minkowski vacuum in background independent quantum gravity
- Numerical evidence of regularized correlations in spin foam gravity
- Towards the graviton from spinfoams: the 3d toy model
- A semiclassical tetrahedron
- Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model
- The perturbative Regge-calculus regime of Loop Quantum Gravity
- Semiclassical regime of Regge calculus and spin foams
- Numerical indications on the semiclassical limit of the flipped vertex
- Asymptotics of LQG fusion coefficients
- Intertwiner dynamics in the flipped vertex
- Evaluation of new spin foam vertex amplitudes
- Evaluation of new spin foam vertex amplitudes with boundary states
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- The Spin Foam Approach to Quantum Gravity
- A Short Review of Loop Quantum Gravity
- The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
- Twisted geometries: A geometric parametrisation of SU(2) phase space
- Lorentzian spin foam amplitudes: graphical calculus and asymptotics
- Polyhedra in loop quantum gravity
- An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
- Towards Spinfoam Cosmology
- Spin-Foams for All Loop Quantum Gravity
- Tensorial methods and renormalization in Group Field Theories
- 4-dimensional Spin-foam Model with Quantum Lorentz Group
- Coherent spin-networks
- Loop quantum gravity: the first twenty five years
- On the geometry of loop quantum gravity on a graph
- Spinning Loop Black Holes
- SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
- Why all these prejudices against a constant?
- Lorentzian spinfoam propagator
- Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Lorentzian Theory
- Operator Spin Foam Models
- Holonomy spin foam models: Asymptotic geometry of the partition function
- Linking covariant and canonical LQG: new solutions to the Euclidean Scalar Constraint
- Generalized Spinfoams
- Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Euclidean Theory
- A new look at loop quantum gravity
- A spin foam model for general Lorentzian 4-geometries
- Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory
- Gluing polyhedra with entanglement in loop quantum gravity
- The new vertices and canonical quantization
- A high-performance code for EPRL spin foam amplitudes
- A proposed proper EPRL vertex amplitude
- In quantum gravity, summing is refining
- Anomalous dimension in semiclassical gravity
- Spinfoam on Lefschetz Thimble: Markov Chain Monte-Carlo Computation of Lorentzian Spinfoam Propagator
- Discrete Gravity Models and Loop Quantum Gravity: a Short Review
- Spinfoams in the holomorphic representation
- Semiclassical Analysis of Spinfoam Model with a Small Barbero-Immirzi Parameter
- On Spinfoam Models in Large Spin Regime
- A regularization of the hamiltonian constraint compatible with the spinfoam dynamics
- Infinite-Dimensional Representations of 2-Groups
- Loop Quantum Gravity
- Regge gravity from spinfoams
- LQG propagator: III. The new vertex
- Einstein Equation from Covariant Loop Quantum Gravity in Semiclassical Continuum Limit
- Triangulated Loop Quantum Cosmology: Bianchi IX and inhomogenous perturbations
- Simple model for quantum general relativity from loop quantum gravity
- Asymptotic analysis of the Ponzano-Regge model for handlebodies
- Emergence of gravity from spinfoams
- Quantum-Reduced Loop-Gravity: Relation with the Full Theory
- Semiclassical Limit of New Path Integral Formulation from Reduced Phase Space Loop Quantum Gravity
- Euclidean three-point function in loop and perturbative gravity
- Chiral vacuum fluctuations in quantum gravity
- The EPRL intertwiners and corrected partition function
- Covariant Loop Quantum Gravity, Low Energy Perturbation Theory, and Einstein Gravity with High Curvature UV Corrections
- Inflationary tensor fluctuations, as viewed by Ashtekar variables and their imaginary friends
- Entanglement entropy of Bell-network states in LQG: Analytical and numerical results
- Searching for classical geometries in spin foam amplitudes: a numerical method
- Emergent 4-dimensional linearized gravity from spin foam model
- Numerical computations of next-to-leading order corrections in spinfoam large- asymptotics
- Sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model
- Curvature in spinfoams
- Feynman diagrammatic approach to spin foams
- Complex critical points in Lorentzian spinfoam quantum gravity: 4-simplex amplitude and effective dynamics on double- complex
- Restricting Fourth Order Gravity via Cosmology
- The Lorentzian proper vertex amplitude: Classical analysis and quantum derivation
- Squeezed vacua in loop quantum gravity
- Coherent states for FLRW space-times in loop quantum gravity
- Markov Chain Monte Carlo methods for graph refinement in Spinfoam Cosmology
- Observables in 3d spinfoam quantum gravity with fermions
- Spinfoams and high performance computing
- Chirality of tensor perturbations for complex values of the Immirzi parameter
- Holonomy-flux spinfoam amplitude
- Area Law from Loop Quantum Gravity
- Superposition type coherent states in all dimensional loop quantum gravity
- Twisted geometry coherent states in all dimensional loop quantum gravity: I. Construction and Peakedness properties
- Parity and reality properties of the EPRL spinfoam
- Intertwiner dynamics in the flipped vertex
- Cosine problem in EPRL/FK spinfoam model
- A Short and Subjective Introduction to the Spinfoam Framework for Quantum Gravity
- The new spin foam models and quantum gravity
- Twisted geometry coherent states in all dimensional loop quantum gravity: II. Ehrenfest Property
- Spinfoam cosmology with the proper vertex amplitude
- Spin foams
- Local spin foams
- Critical Insight into the Cosmological Sector of Loop Quantum Gravity
- Spin foam propagator: A new perspective to include a cosmological constant
- Radiative corrections to the EPRL-FK spinfoam graviton
- Hessian and graviton propagator of the proper vertex
- The hessian in spin foam models
- Regularized Hamiltonians and Spinfoams
- Einstein-Regge equations in spinfoams
- A saddle-point finder and its application to the spin foam model
- Hessian in the spinfoam models with cosmological constant