出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要:We analyse the asymptotic properties of the amplitude for the 4-simplexes of the Lorentzian EPRL model using stationary phase methods. We compute the critical point equations and study the geometry of their solutions. For boundary data corresponding to a Lorentzian simplex, the asymptotic formula has two terms, with phase plus or minus the Lorentzian signature Regge action for the 4-simplex geometry, multiplied by an Immirzi parameter.