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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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To appear in the procedings of the Third International Symposium on Quantum Theory and Symmetries (QTS3), September 2003

Scientific paper

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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