Emergence of gravity from spinfoams

Abstract

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 addition to quantum corrections in the Planck constant, we find new corrections in the Immirzi parameter due to the quantum discreteness of spacetime. The result is a strong evidence that the spinfoam covariant quantization of general relativity possesses the correct classical limit.

9 pages, shorter version of "Regge gravity from spinfoams"

References in corpus (14)

• LQG vertex with finite Immirzi parameter
• A new spinfoam vertex for quantum gravity
• A New Spin Foam Model for 4d Gravity
• Towards Spinfoam Cosmology
• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity
• Area-angle variables for general relativity
• EPRL/FK Group Field Theory
• Lorentz covariance of loop quantum gravity
• Path integral representation of spin foam models of 4d gravity
• Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
• Perturbative quantum gravity with the Immirzi parameter
• Spinfoams in the holomorphic representation
• Semiclassical regime of Regge calculus and spin foams

Cited by in corpus (22)

• SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
• Effective Spin Foam Models for Four-Dimensional Quantum Gravity
• Effective Spin Foam Models for Lorentzian Quantum Gravity
• Lorentzian spinfoam propagator
• Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Lorentzian Theory
• Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Euclidean Theory
• Semiclassical Analysis of Spinfoam Model with a Small Barbero-Immirzi Parameter
• On Spinfoam Models in Large Spin Regime
• Discrete gravity dynamics from effective spin foams
• Path Integral Representation of Lorentzian Spinfoam Model, Asymptotics, and Simplicial Geometries
• Numerical analysis of spin foam dynamics and the flatness problem
• Einstein Equation from Covariant Loop Quantum Gravity in Semiclassical Continuum Limit
• Semiclassical Limit of New Path Integral Formulation from Reduced Phase Space Loop Quantum Gravity
• Covariant Loop Quantum Gravity, Low Energy Perturbation Theory, and Einstein Gravity with High Curvature UV Corrections
• Complex critical points in Lorentzian spinfoam quantum gravity: 4-simplex amplitude and effective dynamics on double-${\Delta }_3$ complex
• Parity and reality properties of the EPRL spinfoam
• Effective action for EPRL/FK spin foam models
• How many quanta are there in a quantum spacetime?
• Radiative corrections to the EPRL-FK spinfoam graviton
• Hessian and graviton propagator of the proper vertex
• Spin foam propagator: A new perspective to include a cosmological constant
• Einstein-Regge equations in spinfoams