q-Deformed spin foam models of quantum gravity

Details q-Deformed spin foam models of quantum gravity q-Deformed spin foam models of quantum gravity

2007-04-02

arxiv.org/abs/0704.0278v1

Class.Quant.Grav.24:3271-3290,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 6 figures, amsrefs

Scientific paper

10.1088/0264-9381/24/13/009

We numerically study Barrett-Crane models of Riemannian quantum gravity. We have extended the existing numerical techniques to handle q-deformed models and arbitrary space-time triangulations. We present and interpret expectation values of a few selected observables for each model, including a spin-spin correlation function which gives insight into the behaviour of the models. We find the surprising result that, as the deformation parameter q goes to 1 through roots of unity, the limit is discontinuous.

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