Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-09-10
J. Phys. A: Math. Theor. 43 115203 (2010)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, multiple figures
Scientific paper
10.1088/1751-8113/43/11/115203
Using the coherent state techniques developed for the analysis of the EPRL model we give the asymptotic formula for the Ponzano-Regge model amplitude for non-tardis triangulations of handlebodies in the limit of large boundary spins. The formula produces a sum over all possible immersions of the boundary triangulation and its value is given by the cosine of the Regge action evaluated on these. Furthermore the asymptotic scaling registers the existence of flexible immersions. We verify numerically that this formula approximates the 6j-symbol for large spins.
Dowdall R.
Gomes Henrique
Hellmann Frank
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