Spin Foam Models from the Tetrad Integration

Details Spin Foam Models from the Tetrad Integration Spin Foam Models from the Tetrad Integration

2005-11-15

arxiv.org/abs/gr-qc/0511080v1

AIP Conf.Proc.841:523-527,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, based on the talk presented at the ERE05 meeting, September 6-10, 2005, Oviedo

Scientific paper

10.1063/1.2218228

We describe a class of spin foam models of four-dimensional quantum gravity which is based on the integration of the tetrad one-forms in the path integral for the Palatini action of General Relativity. In the Euclidian gravity case this class of models can be understood as a modification of the Barrett-Crane spin foam model. Fermionic matter can be coupled by using the path integral with sources for the tetrads and the spin connection, and the corresponding state sum is based on a spin foam where both the edges and the faces are colored independently with the irreducible representations of the spacetime rotations group.

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