Parity and reality properties of the EPRL spinfoam

Understand

We study the parity behavior of the Lorentzian EPRL spinfoam model.

• We demonstrate that the vertex amplitude does not depend on the sign of the Immirzi parameter.
• We present numerical results for the transition amplitude and the graviton propagator in the large-spin 4-simplex approximation.
• The results suggest a simple relation between the contributions of the two parity-related critical points.