English

Observability and Geometry in Three dimensional quantum gravity

General Relativity and Quantum Cosmology 2017-08-23 v2

Abstract

We consider the coupling between massive and spinning particles and three dimensional gravity. This allows us to construct geometric operators (distances between particles) as Dirac observables. We quantize the system a la loop quantum gravity: we give a description of the kinematical Hilbert space and construct the associated spin-foam model. We construct the physical disctance operator and consider its quantization.

Keywords

Cite

@article{arxiv.gr-qc/0402113,
  title  = {Observability and Geometry in Three dimensional quantum gravity},
  author = {Karim Noui and Alejandro Perez},
  journal= {arXiv preprint arXiv:gr-qc/0402113},
  year   = {2017}
}

Comments

To appear in the procedings of the Third International Symposium on Quantum Theory and Symmetries (QTS3), September 2003