The free photon propagator before quantum corrections.
The computational chain
From diagram to number—every step of the amplitude calculation.
Feynman rule
$$\frac{-ig_{\mu\nu}}{k^2 + i\epsilon}$$
The free photon propagator in Feynman gauge. The $i\epsilon$ prescription selects the Feynman (time-ordered) propagator. Other gauge choices modify the numerator but leave physical results unchanged.