The complete LQG propagator: II. Asymptotic behavior of the vertex

Abstract

In a previous article we have show that there are difficulties in obtaining the correct graviton propagator from the loop-quantum-gravity dynamics defined by the Barrett-Crane vertex amplitude. Here we show that a vertex amplitude that depends nontrivially on the intertwiners can yield the correct propagator. We give an explicit example of asymptotic behavior of a vertex amplitude that gives the correct full graviton propagator in the large distance limit.

16 pages

References in corpus (2)

• LQG vertex with finite Immirzi parameter
• Numerical indications on the semiclassical limit of the flipped vertex

Cited by in corpus (4)

• Area-angle variables for general relativity
• The length operator in Loop Quantum Gravity
• Spin-Foam Models and the Physical Scalar Product
• Tensorial Structure of the LQG graviton propagator