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- W2897054837 abstract "The large-$j$ asymptotic behavior of the four-dimensional spin foam amplitude is investigated for the extended spin foam model (Conrady-Hnybida extension) on a simplicial complex. We study the most general situation in which timelike tetrahedra with timelike triangles are taken into account. The large-$j$ asymptotic behavior is determined by the critical configurations of the amplitude. We identify the critical configurations that correspond to the Lorentzian simplicial geometries with timelike tetrahedra and triangles. Their contributions to the amplitude are asymptotic phases, whose exponents equal the Regge action of gravity. The amplitude may also contains critical configurations corresponding to nondegenerate split signature 4-simplices and degenerate vector geometries. But vertex amplitudes containing at least one timelike and one spacelike tetrahedra only give Lorentzian 4-simplices, while the split signature or degenerate 4-simplex does not appear." @default.
- W2897054837 created "2018-10-26" @default.
- W2897054837 creator A5073086952 @default.
- W2897054837 creator A5085937145 @default.
- W2897054837 date "2019-04-24" @default.
- W2897054837 modified "2023-10-14" @default.
- W2897054837 title "Asymptotic analysis of spin foam amplitude with timelike triangles" @default.
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- W2897054837 doi "https://doi.org/10.1103/physrevd.99.084040" @default.
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