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We study the semiclassical behavior of LorentzianEngle-Pereira-Rovelli-Livine (EPRL) spinfoam model, by taking into account thesum over spins in the large spin regime. We also employ the method ofstationary phase analysis with parameters and the so called, almost-analyticmachinery, in order to find the asymptotic behavior of the contributions fromall possible large spin configurations in the spinfoam model. The spinscontributing the sum are written as ${J}_f=\lambda {j}_f$ where $\l$ is a largeparameter resulting in an asymptotic expansion via stationary phaseapproximation. The analysis shows that at least for the simplicial Lorentziangeometries (as spinfoam critical configurations), they contribute the leadingorder approximation of spinfoam amplitude only when their deficit anglessatisfy $\gamma{\Theta}_f\leq\lambda^{-1/2}$ mod $4\pi\mathbb{Z}$. Our analysisresults in a curvature expansion of the semiclassical low energy effectiveaction from the spinfoam model, where the UV modifications of Einstein gravityappear as subleading high-curvature corrections.

On Spinfoam Models in Large Spin Regime