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

Perez, A.; Rovelli, C.
Referencia bibliográfica

"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"

Fecha de publicación:
12
2002
Número de autores
2
Número de autores del IAC
0
Número de citas
0
Número de citas referidas
0
Descripción
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.