Numerical computations of next-to-leading order corrections in spinfoam large-$j$ asymptotics

Understand

We numerically study the next-to-leading order corrections of the Lorentzian Engle-Pereira-Rovelli-Livine (EPRL) 4-simplex amplitude in the large-$j$ expansions.

• We perform large-$j$ expansions of Lorentzian EPRL 4-simplex amplitudes with two different types of boundary states, the coherent intertwiners and the coherent spin-network, and numerically compute the leading-order and the next-to-leading order $O(1/j)$ contributions of these amplitudes.
• We also study the dependences of these $O(1/j)$ corrections on the Barbero-Immirzi parameter $\gamma$.
• We show that they, as functions of $\gamma$, stabilize to finite real constants as $\gamma\to\infty$.