Phase space descriptions for simplicial 4D geometries

@article{Dittrich2008PhaseSD,
  title={Phase space descriptions for simplicial 4D geometries},
  author={Bianca Dittrich and J. Patrick Ryan},
  journal={Classical and Quantum Gravity},
  year={2008},
  volume={28},
  pages={065006}
}
Starting from the canonical phase space for discretized (4D) BF theory, we implement a canonical version of the simplicity constraints and construct phase spaces for simplicial geometries. Our construction allows us to study the connection between different versions of Regge calculus and approaches using connection variables, such as loop quantum gravity. We find that on a fixed triangulation the (gauge invariant) phase space associated with loop quantum gravity is genuinely larger than the one… 
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