A definition of the Ponzano-Regge quantum gravity model in terms of surfaces

Abstract

We show that the partition function of the Ponzano-Regge quantum gravity model can be written as a sum over surfaces in a $(2+1)$ dimensional space-time. We suggest a geometrical meaning, in terms of surfaces, for the (regulated) divergences that appear in the partition function.

latex 14 pages (10 pages of text, 4 pages of figures), 4 epsfig figures, University of Pittsburgh preprint. No change has been made. The previous file has been corrupted

References in corpus (3)

• The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis
• Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge
• A reformulation of the Ponzano-Regge quantum gravity model in terms of surfaces

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