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.
机构:
Penn State Univ, Dept Phys, Ctr Gravitat Phys & Geometry, Davey Lab 104, University Pk, PA 16802 USAPenn State Univ, Dept Phys, Ctr Gravitat Phys & Geometry, Davey Lab 104, University Pk, PA 16802 USA