Path integral measure and triangulation independence in discrete gravity

@article{Dittrich2012PathIM,
  title={Path integral measure and triangulation independence in discrete gravity},
  author={B. Dittrich and Sebastian Steinhaus},
  journal={Physical Review D},
  year={2012},
  volume={85},
  pages={044032}
}
A path integral measure for gravity should also preserve the fundamental symmetry of general relativity, which is diffeomorphism symmetry. In previous work, we argued that a successful implementation of this symmetry into discrete quantum gravity models would imply discretization independence. We therefore consider the requirement of triangulation independence for the measure in (linearized) Regge calculus, which is a discrete model for quantum gravity, appearing in the semi--classical limit of… Expand
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