Asymptotic analysis of the EPRL four-simplex amplitude

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.

v2: improved presentation, typos corrected, refs added; results unchanged

References in corpus (14)

• LQG vertex with finite Immirzi parameter
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• The complete LQG propagator: II. Asymptotic behavior of the vertex
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• Tensorial Structure of the LQG graviton propagator

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