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A definition of the Ponzano–Regge quantum gravity model in terms of surfacesa)
Author(s) -
Junichi Iwasaki
Publication year - 1995
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.531245
Subject(s) - quantum gravity , partition function (quantum field theory) , quantum , physics , mathematical physics , theoretical physics , gravitation , partition (number theory) , mathematics , classical mechanics , quantum mechanics , combinatorics
We show that the partition function of the Ponzano-Regge quantum gravitymodel can be written as a sum over surfaces in a $(2+1)$ dimensionalspace-time. We suggest a geometrical meaning, in terms of surfaces, for the(regulated) divergences that appear in the partition function.Comment: 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 corrupte

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