Asymptotics of 4d spin foam models

Barrett, John W.; Dowdall, Richard J.; Fairbairn, Winston J.; Gomes, Henrique; Hellmann, Frank; Pereira, Roberto

doi:10.1007/s10714-010-0983-7

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学術論文

Asymptotics of 4d spin foam models

MPS-Authors

Pereira, Roberto
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1003.1886
(プレプリント), 192KB

GRG43_2421.pdf
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引用

Barrett, J. W., Dowdall, R. J., Fairbairn, W. J., Gomes, H., Hellmann, F., & Pereira, R. (2011). Asymptotics of 4d spin foam models. General Relativity and Gravitation, 43(9), 2421-2436. doi:10.1007/s10714-010-0983-7.

引用: https://hdl.handle.net/11858/00-001M-0000-000F-04FD-9

要旨

We study the asymptotic properties of four-simplex amplitudes for various four-dimensional spin foam models. We investigate the semi-classical limit of the Ooguri, Euclidean and Lorentzian EPRL models using coherent states for the boundary data. For some classes of geometrical boundary data, the asymptotic formulae are given, in all three cases, by simple functions of the Regge action for the four-simplex geometry.