Curvature in spinfoams

We consider spinfoam quantum gravity. We show in a simple case that the amplitude projects over a nontrivial (curved) classical geometry. This suggests that, at least for spinfoams without bubbles and for large values of the boundary spins, the amplitude takes the form of a path integral over Regge metrics, thus enforcing discrete Einstein equations in the classical limit. The result relies crucially on a new interpretation of the semiclassical limit for the amplitudes truncated to a fixed 2-complex.

Note:

7 pages, 3 figures

04.60.Nc
04.60.Pp
spin: foam
approximation: classical
Einstein equation: discrete
quantum gravity
path integral
simplex

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Figures(4)

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