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Spin foam model for Lorentzian General Relativity

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arxiv gr-qc/0009021 v1 pith:F2AE4S2E submitted 2000-09-07 gr-qc

Alejandro Perez , Carlo Rovelli This is my paper · ORCID
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keywords modeltheoryeuclideanfoamgenerallorentzianrelativityspin
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We present a spin foam formulation of Lorentzian quantum General Relativity. The theory is based on a simple generalization of an Euclidean model defined in terms of a field theory over a group. Its vertex amplitude turns out to be the one recently introduced by Barrett and Crane. As in the case of its Euclidean relatives, the model fully implements the desired sum over 2-complexes which encodes the local degrees of freedom of the theory.

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  1. A state sum for four-dimensional Lorentzian quantum geometry in terms of edge vectors

    gr-qc 2025-01 conditional novelty 6.0 of 10

    A new state sum model for 4D Lorentzian quantum gravity is constructed from quantum edge vectors and related to the Barrett-Crane spin foam model.

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