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Path integral measure for first-order and metric gravities

Rodrigo Aros et al 2003 Class. Quantum Grav. 20 2937-2944   doi: 10.1088/0264-9381/20/13/336  Help

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Rodrigo Aros1, Mauricio Contreras1 and Jorge Zanelli2
1 Universidad Nacional Andrés Bello, Republica 252, Santiago, Chile
2 Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile
E-mail: raros@unab.cl, mcontreras@unab.cl and jz@cecs.cl

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

PACS numbers: 04.60.−m, 04.60.Gw

Print publication: Issue 13 (7 July 2003)
Received 31 March 2003
Published 12 June 2003

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