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

2001/04/18 by Louis Crane, Alejandro Pérez, Alejandro Perez +4 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0104057

11 pages, 3 pictures

arxiv created 2001/04/18 · openalex publication_date 2001/04/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• A lattice worldsheet sum for 4-d Euclidean general relativity

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