Self-energy and vertex radiative corrections in LQG

TL;DR

This paper analyzes specific radiative correction terms in loop quantum gravity, computing their divergence properties to understand their behavior analogous to quantum field theory corrections.

Contribution

It introduces and computes the divergence of elementary radiative correction terms in loop quantum gravity, linking them to familiar quantum field theory concepts.

Findings

Computed the infrared divergence degree of the elementary bubble and ball corrections.

Established a connection between LQG corrections and standard QFT loop corrections.

Provided a basis for further renormalization studies in LQG.

Abstract

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.