  The hadronic vacuum polarization function $\Pi_h$ for two light flavors is
computed on the entire domain of spacelike and timelike momenta using a
framework of Dyson-Schwinger equations. The analytical continuation of the
function $\Pi_h$ is based on the utilization of the Gauge Technique with the
entry of QCD Green's functions determined from generalized quark spectral
functions. For the first time, the light quark spectral functions are extracted
from the solution of the gap equation for the quark propagator. The scale is
set up by the phenomena of dynamical chiral symmetry breaking, which is a
striking feature of low energy QCD.
