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A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity

Louis Crane, Alejandro Perez, Carlo Rovelli

gr-qcarXiv:gr-qc/0104057

Abstract

We show that the normalized Lorentzian state sum is finite on any triangulation. It thus provides a candidate for a perturbatively finite quantum theory of general relativity in four dimensions with Lorentzian signature.

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