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

Bibcode
2002nmgm.meet.1315P
DOI
10.1142/9789812777386_0233
Perez, A.; Rovelli, C.
Bibliographical reference

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories. Proceedings of the MGIX MM Meeting. Held 2-8 July 2000 in The University of Rome "La Sapienza", Italy. Edited by Vahe G Gurzadyan (Yerevan Physics Institute, Armenia), Robert T Jantzen (Villanova University, USA), & Remo Ruffini (University of Rome ``La Sapienza'', Italy) . Published by World Scientific Publishing Co. Pte. Ltd., 2002. ISBN #9789812777386, pp. 1315-1316"

Advertised on:
12
2002
Number of authors
2
IAC number of authors
0
Citations
0
Refereed citations
0
Description
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.
Type
Non-refereed

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