Asymptotic analysis of the EPRL four-simplex amplitude

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

arxiv: 0902.1170 · v2 · submitted 2009-02-06 · 🌀 gr-qc

Asymptotic analysis of the EPRL four-simplex amplitude

John W. Barrett , R.J. Dowdall , Winston J. Fairbairn , Henrique Gomes , Frank Hellmann This is my paper

classification 🌀 gr-qc

keywords amplitudeasymptoticboundarysimplexstateactionanalysiscanonical

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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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