Dyson resummation
= Dyson resummation
{c}
Dyson resummation sums repeated self-energy insertions as a geometric series. If $G_0$ is the free propagator and $\Sigma$ is the proper two-point insertion, then
$$
G=G_0+G_0\Sigma G_0+\cdots=(G_0^{-1}-\Sigma)^{-1}
$$
for the convention in which an insertion contributes $+\Sigma$ inside the series.