Short-scale Emergence of Classical Geometry, in Euclidean Loop Quantum Gravity

Abstract

We study the euclidean covariant loop-quantum-gravity vertex numerically, using a cylindrically symmetric boundary state and a convenient value of the Barbero-Immirzi parameter. We show that a classical geometry emerges already at low spin. We also recognise the appearance of the degenerate configurations.

17 pages, 12 figures