Self-energy and vertex radiative corrections in LQG
  We consider the elementary radiative-correction terms in loop quantum gravity. These are a two-vertex "elementary bubble" and a five-vertex "ball"; they correspond to the one-loop self-energy and the one-loop vertex correction of ordinary quantum field theory. We compute their naive degree of (infrared) divergence. 
Claudio Perini, Carlo Rovelli, Simone Speziale