Addendum: EPRL/FK Asymptotics and the Flatness Problem

Abstract

We show that, when an approximation used in this prior work is removed, the resulting improved calculation yields an alternative derivation, in the particular case studied, of the accidental curvature constraint of Hellmann and Kaminski. The result is at the same time extended to apply to almost all non-degenerate Regge-like boundary data and a broad class of face amplitudes. This resolves a tension in the literature.

arXiv comment8 pages; Addendum to arXiv:1704.04817. Title changed in accordance with editor decision, end of introduction updated and clarified, proof of non-negativity of Im a expanded, references added, and typos corrected

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Cited by in corpus (21)

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• Numerical analysis of spin foam dynamics and the flatness problem
• How-To compute EPRL spin foam amplitudes
• From spin foams to area metric dynamics to gravitons
• Towards effective actions for the continuum limit of spin foams
• Complex critical points in Lorentzian spinfoam quantum gravity: 4-simplex amplitude and effective dynamics on double-${\Delta }_3$ complex
• Spin-foams as semi-classical vertices: gluing constraints and a hybrid algorithm
• Spinfoams and high performance computing
• Numerical evaluation of spin foam amplitudes beyond simplices
• Twisted geometries are area-metric geometries
• The accidental flatness constraint does not mean a wrong classical limit
• Spinfoams: Foundations
• Curvature effects in the spectral dimension of spin foams
• A Wick rotation for EPRL spin foam models
• Modified Graviton Dynamics From Spin Foams: The Area Regge Action
• Geometry from local flatness in Lorentzian spin foam theories
• Spinfoam tunneling of quantum geometries in angle variables
• A saddle-point finder and its application to the spin foam model