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Dynamics of loop quantum gravity and spin foam models in three dimensions

Karim Noui·Alejandro Perez
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Abstract

We present a rigorous regularization of Rovellis's generalized projection operator in canonical 2+1 gravity. This work establishes a clear-cut connection between loop quantum gravity and the spin foam approach in this simplified setting. The point of view adopted here provides a new perspective to tackle the problem of dynamics in the physically relevant 3+1 case.

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Karim Noui, Alejandro Perez. 2004-03-19. Dynamics of loop quantum gravity and spin foam models in three dimensions. https://doi.org/10.1142/9789812702340_0077

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