Phys. Rev. D 63, 041501 (2001) [5 pages]

Spin foam model for Lorentzian general relativity

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Alejandro Perez and Carlo Rovelli
Centre de Physique Théorique - CNRS, Case 907, Luminy, F-13288 Marseille, France
Physics Department, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

Rapid Communication Received 20 September 2000; published 12 January 2001

We present a spin foam formulation of Lorentzian quantum general relativity. The theory is based on a simple generalization of a Euclidean model defined in terms of a field theory over a group. Its vertex amplitude turns out to be the one recently introduced by Barrett and Crane. As in the case of its Euclidean relatives, the model fully implements the desired sum over 2-complexes which encodes the local degrees of freedom of the theory.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRD/v63/e041501
DOI: 10.1103/PhysRevD.63.041501
PACS: 04.60.-m

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