Abstract
We study the q-deformed su(2) spin network as a three-dimensional quantum gravity model. We show that in the semiclassical continuum limit the Turaev-Viro invariant obtained recently defines a naturally regularized path integral a` la Ponzano and Regge, in which a contribution from the cosmological term is effectively included. The regularization-dependent cosmological constant is found to be 4/+O(), where =1. We also discuss the relation to the Euclidean Chern-Simons-Witten gravity in three dimensions.
- Received 25 October 1991
DOI:https://doi.org/10.1103/PhysRevLett.68.1795
©1992 American Physical Society