Euclidean three-point function in loop and perturbative gravity

Abstract

We compute the leading order of the three-point function in loop quantum gravity, using the vertex expansion of the Euclidean version of the new spin foam dynamics, in the region of gamma<1. We find results consistent with Regge calculus in the limit gamma->0 and j->infinity. We also compute the tree-level three-point function of perturbative quantum general relativity in position space, and discuss the possibility of directly comparing the two results.

16 pages

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Cited by in corpus (17)

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• SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
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• Linking covariant and canonical LQG: new solutions to the Euclidean Scalar Constraint
• In quantum gravity, summing is refining
• Spinfoam on Lefschetz Thimble: Markov Chain Monte-Carlo Computation of Lorentzian Spinfoam Propagator
• Semiclassical Analysis of Spinfoam Model with a Small Barbero-Immirzi Parameter
• Regge gravity from spinfoams
• Einstein Equation from Covariant Loop Quantum Gravity in Semiclassical Continuum Limit
• Covariant Loop Quantum Gravity, Low Energy Perturbation Theory, and Einstein Gravity with High Curvature UV Corrections
• Holonomy-flux spinfoam amplitude
• Area Law from Loop Quantum Gravity
• The new spin foam models and quantum gravity
• Semi-Classical Holomorphic Transition Amplitudes in Covariant Loop Quantum Gravity
• Divergences in spinfoam quantum gravity
• Spin foam propagator: A new perspective to include a cosmological constant
• Geometry Transition in Covariant Loop Quantum Gravity