12j-symbols and four-dimensional quantum gravity

Abstract

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.

12 pages, Latex

References in corpus (2)

• 3-dimensional Gravity from the Turaev-Viro Invariant
• Partition Functions and Topology-Changing Amplitudes in the 3D Lattice Gravity of Ponzano and Regge

Cited by in corpus (2)

• The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis
• Semiclassical Analysis of the Wigner $12j$ Symbol with One Small Angular Momentum