Asymptotics of 4d spin foam models |
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| Authors: | John W. Barrett Richard J. Dowdall Winston J. Fairbairn Henrique Gomes Frank Hellmann Roberto Pereira |
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| Affiliation: | 1.School of Mathematical Sciences, University of Nottingham,Nottingham,UK;2.Department Mathematik,Universit?t Hamburg,Hamburg,Germany;3.Centre de Physique Théorique,Marseille Cedex 9,France;4.MPI für Gravitationsphysik, Albert Einstein Institute,Potsdam,Germany |
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| Abstract: | 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. |
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