  We study a representation of the hadronic vacuum polarization based on the
time-momentum representation of the vector correlator. This representation
suggests a way to compute the hadronic vacuum polarization and the associated
Adler function for any value of virtuality, irrespective of the flavor
structure of the current. We present results on both of these
phenomenologically important functions, derived from local-conserved two-point
lattice vector correlation functions, computed on a subset of light two-flavor
ensembles made available to us through the CLS effort.
