Barrett-Crane spin foam model from generalized BF-type action for gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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15 pages, revtex; a sign corrected (area spectrum); some of these results were presented in a preliminary form in gr-qc/010308

Scientific paper

10.1103/PhysRevD.65.044025

We study a generalized action for gravity as a constrained BF theory, and its
relationship with the Plebanski action. We analyse the discretization of the
constraints and the spin foam quantization of the theory, showing that it leads
naturally to the Barrett-Crane spin foam model for quantum gravity. Our
analysis holds true in both the Euclidean and Lorentzian formulation.

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