Tullio Regge's legacy: Regge calculus and discrete gravity

Dec 14, 2018
15 pages
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Abstract: (arXiv)
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.
Note:
  • 15 pages; a contribution to the forthcoming volume "Tullio Regge: an eclectic genius, from quantum gravity to computer play", Eds. L Castellani, A. Ceresole, R. D'Auria and P. Fr\`e (World Scientific); v2: added references to more relevant work, minor changes to the text
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