12j-symbols and four-dimensional quantum gravity

Details 12j-symbols and four-dimensional quantum gravity 12j-symbols and four-dimensional quantum gravity

1992-12-02

arxiv.org/abs/hep-th/9212018v1

Phys.Lett. B299 (1993) 229-233

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex

Scientific paper

10.1016/0370-2693(93)90253-E

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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