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Tullio Regge's legacy: Regge calculus and discrete gravity

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arxiv 1812.06193 v2 pith:GACLPQLC submitted 2018-12-14 gr-qc hep-th

John W. Barrett , Daniele Oriti , Ruth M. Williams This is my paper · ORCID
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The review paper "Discrete Structures in Physics", written in 2000, describes how Regge's discretization of Einstein's theory has been applied in classical relativity and quantum gravity. Here, developments since 2000 are reviewed briefly, with particular emphasis on progress in quantum gravity through spin foam models and group field theories.

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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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