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Path integral measure for first order and metric gravities

Rodrigo Aros, Mauricio Contreras, Jorge Zanelli

gr-qcarXiv:gr-qc/0303113

Abstract

The equivalence between the path integrals for first order gravity and the standard torsion-free, metric gravity in 3+1 dimensions is analyzed. Starting with the path integral for first order gravity, the correct measure for the path integral of the metric theory is obtained.

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