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12j-symbols and four-dimensional quantum gravity

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Physics Letters B, 299 (3-4): 229--233 (02.12.1992)
DOI: 10.1016/0370-2693(93)90253-e

Аннотация

We propose a model which represents a four-dimensional version of Ponzano and Regge's three-dimensional euclidean quantum gravity. In particular we show that the exponential of the euclidean Einstein-Regge action for a \$4d\$-discretized block is given, in the semiclassical limit, by a gaussian integral of a suitable \$12j\$-symbol. Possible developments of this result are discussed.

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