Three-dimensional gravity from the Turaev-Viro invariant
Oct, 199110 pages
Published in:
- Phys.Rev.Lett. 68 (1992) 1795-1798
e-Print:
- hep-th/9110057 [hep-th]
Report number:
- YITP-U-91-43
Citations per year
Abstract:
We study the -deformed su(2) spin network as a 3-dimensional quantum gravity model. We show that in the semiclassical continuum limit the Turaev-Viro invariant obtained recently defines naturally regularized path-integral la Ponzano-Regge, In which a contribution from the cosmological term is effectively included. The regularization dependent cosmological constant is found to be , where . We also discuss the relation to the Euclidean Chern-Simons-Witten gravity in 3-dimension.- talk: Kyoto 1991/09/09
- quantum gravity: simplex
- dimension: 3
- approximation: semiclassical
- path integral
- regularization
- group: SU(2)
- Clebsch-Gordan coefficients
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