Graviton propagator asymptotics and the classical limit of ELPR/FK spin foam models

Understand

We study the classical limit of the ELPR/FK spin foam models by analyzing the large-distance asymptotics of the corresponding graviton propagators.

• This is done by examining the large-spin asymptotics of the Hartle-Hawking wavefunction which is peaked around a classical flat spatial geometry.
• By using the stationary phase method we determine the wavefunction asymptotics.
• The obtained asymptotics does not give the desired large-distance asymptotics for the corresponding graviton propagator.