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@article{faucris.309674574,
abstract = {The complex critical points are analyzed in the four-dimensional Lorentzian Engle-Pereira-Rovelli-Livine spinfoam model in the large-j regime. For the four-simplex amplitude, taking into account the complex critical point generalizes the large-j asymptotics to the situation with non-Regge boundary data and relates to the twisted geometry. For generic simplicial complexes, we present a general procedure to derive the effective theory of Regge geometries from the spinfoam amplitude in the large-j regime by using the complex critical points. The effective theory is analyzed in detail for the spinfoam amplitude on the double-Δ3 simplicial complex. We numerically compute the effective action and the solution of the effective equation of motion on the double-Δ3 complex. The effective theory reproduces the classical Regge gravity when the Barbero-Immirzi parameter γ is small. },
author = {Han, Muxin and Liu, Hongguang and Qu, Dongxue},
doi = {10.1103/PhysRevD.108.026010},
faupublication = {yes},
journal = {Physical Review D},
note = {CRIS-Team Scopus Importer:2023-08-25},
peerreviewed = {Yes},
title = {{Complex} critical points in {Lorentzian} spinfoam quantum gravity: {Four}-simplex amplitude and effective dynamics on a double- {Δ3} complex},
volume = {108},
year = {2023}
}