Dyson resummation (source code)

= 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.