Barrett-Crane spin foam model from generalized BF-type action for gravity
General Relativity and Quantum Cosmology
2014-11-17 v3 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0104043,
title = {Barrett-Crane spin foam model from generalized BF-type action for gravity},
author = {Richard E. Livine and Daniele Oriti},
journal= {arXiv preprint arXiv:gr-qc/0104043},
year = {2014}
}
Comments
15 pages, revtex; a sign corrected (area spectrum); some of these results were presented in a preliminary form in gr-qc/0103081; v2: improved presentation of the results, some changes in the text; to appear in Phys. Rev. D