Self-energy and vertex radiative corrections in LQG

Claudio Perini (1, 2) , Carlo Rovelli (1, 2) , Simone Speziale (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Claudio Perini, Carlo Rovelli, Simone Speziale. Self-energy and vertex radiative corrections in LQG. Physics Letters B, 2009, 682 (1), pp.78 - 84. ⟨hal-00350516⟩