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arXiv · 0902.1170

Asymptotic analysis of the EPRL four-simplex amplitude

John W. Barrett·R. J. Dowdall·Winston J. Fairbairn·Henrique Gomes·Frank Hellmann
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Abstract

The semiclassical limit of a 4-simplex amplitude for a spin foam quantum gravity model with an Immirzi parameter is studied. If the boundary state represents a non-degenerate 4-simplex geometry, the asymptotic formula contains the Regge action for general relativity. A canonical choice of phase for the boundary state is introduced and is shown to be necessary to obtain the results.

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John W. Barrett, R. J. Dowdall, Winston J. Fairbairn, Henrique Gomes, Frank Hellmann. 2009-04-20. Asymptotic analysis of the EPRL four-simplex amplitude. https://doi.org/10.1063/1.3244218

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