Abstract
We study a generalized action for gravity as a constrained theory, and its relationship with the Plebanski action. We analyze 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 formulations.
- Received 8 May 2001
DOI:https://doi.org/10.1103/PhysRevD.65.044025
©2002 American Physical Society