Observability and Geometry in Three Dimensional Quantum Gravity

Noui, Karim; Perez, Alejandro
Bibliographical reference

QUANTUM THEORY AND SYMMETRIES. Proceedings of the 3rd International Symposium. Held 10-14 September 2003 in Cincinnati, USA. Edited by P C Argyres, T J Hodges, F Mansouri, J J Scanio, P Suranyi & L C R Wijewardhana (University of Cincinnati, USA). Published by World Scientific Publishing Co. Pte. Ltd., 2004. ISBN #9789812702340, pp. 641-647

Advertised on:
10
2004
Number of authors
2
IAC number of authors
0
Citations
2
Refereed citations
2
Description
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 à la loop quantum gravity: we give a description of the kinematical Hilbert space and construct the associated spin-foam model. We quantize the physical distance operator and compute its spectrum.