One-dimensional action for simplicial gravity in three dimensions

@article{Wieland2014OnedimensionalAF,
  title={One-dimensional action for simplicial gravity in three dimensions},
  author={Wolfgang M. Wieland},
  journal={Physical Review D},
  year={2014},
  volume={90},
  pages={044008}
}
  • Wolfgang M. Wieland
  • Published 2014
  • Physics
  • Physical Review D
  • This article presents a derivation of the Ponzano--Regge model from a one-dimensional spinor action. The construction starts from the first-order Palatini formalism in three dimensions. We then introduce a simplicial decomposition of the three-dimensional manifold and study the discretised action in the spinorial representation of loop gravity. A one-dimensional refinement limit along the edges of the discretisation brings us back to a continuum formulation. The three-dimensional action turns… CONTINUE READING

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