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

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arxiv gr-qc/0402112 v2 pith:6JHUOBR6 submitted 2004-02-25 gr-qc

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

classification gr-qc
keywords gravitydynamicsfoamloopquantumspinadoptedapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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