Title:  Constructive Group Field Theory 101

Abstract:
Group field theory is a generalization of matrix models, in which
fields live on tensor products of $D$ Lie groups and interact via
vertices which reflect the gluing of $D$-dimensional simplices along
$D-1$ dimensional common faces.  Their Feynman amplitudes are exactly
the spin foams of loop quantum gravity.  We investigate the scaling
properties of a basic model of this type, the 3D Boulatov model, both
at perturbative and constructive level.