The Euclidean three-point function in loop and perturbative gravity

Carlo Rovelli (1) , Mingyi Zhang (1)

1 Université du Sud

We compute the leading order of the three-point function in loop quantum gravity, using the vertex expansion of the Euclidean version of the new spin foam dynamics, in the region of γ < 1. We find results consistent with Regge calculus in the limit γ → 0, j → ∞. We also compute the tree-level three-point function of perturbative quantum general relativity in position space, and discuss the possibility of directly comparing the two results.

Mots clés: Physical Sciences

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

Carlo Rovelli, Mingyi Zhang. The Euclidean three-point function in loop and perturbative gravity. Classical and Quantum Gravity, 2011, 28 (17), pp.175010. ⟨10.1088/0264-9381/28/17/175010⟩. ⟨hal-00728902⟩