Loop-quantum-gravity vertex amplitude.
Spin foam models are hoped to provide the dynamics of loop-quantum gravity. However, the most popular of these, the Barrett-Crane model, does not have the good boundary state space and there are indications that it fails to yield good low-energy n-point functions. We present an alternative dynamics that can be derived as a quantization of a Regge discretization of Euclidean general relativity, where second class constraints are imposed weakly. Its state space matches the SO(3) loop gravity one and it yields an SO(4)-covariant vertex amplitude for Euclidean loop gravity.
Engle
Jonathan
J
Centre de Physique Théorique de Luminy, Case 907, F-13288 Marseille, France, EU.
Pereira
Roberto
R
Rovelli
Carlo
C