Finite SO(4)-STATE Sum Model of Euclidean GR

Details Finite SO(4)-STATE Sum Model of Euclidean GR Finite SO(4)-STATE Sum Model of Euclidean GR

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1315p&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

At this meeting we presented a spinfoam model in which the fundamental "bubble amplitudes" (the analog of the one-loop corrections in QFT) are finite as the cutoff is removed. The model is a natural variant of the field theoretical formulation of the Barrett-Crane model. As the last, the model is a quantum BF theory plus an implementation of the constraint that reduces BF theory to GR. This motivated the conjecture of finiteness of the model: all its Feynman diagrams converge. This conjecture has now been proven.

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