Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-11-14
J.Phys.Conf.Ser.33:266-270,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, talk presented at the QG05 conference, 12-16 September 2005, Cala Gonone, Italy
Scientific paper
It is known that the Einstein-Hilbert action with a positive cosmological constant can be represented as a perturbation of the SO(4,1) BF theory by a symmetry-breaking term quadratic in the B field. Introducing fermionic matter generates additional terms in the action which are polynomial in the tetrads and the spin connection. We describe how to construct the generating functional in the spin foam formalism for a generic BF theory when the sources for the B and the gauge field are present. This functional can be used to obtain a path integral for General Relativity with matter as a perturbative series whose the lowest order term is a path integral for a topological gravity coupled to matter.
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