  We determine the gluon and ghost spectral functions along with the analytic
structure of the associated propagators from numerical data describing gauge
correlators at space-like momenta obtained by either solving the
Dyson-Schwinger equations or through lattice simulations. Our novel
reconstruction technique shows the expected branch cut for the gluon and the
ghost propagator, which, in the gluon case, is supplemented with a pair of
complex conjugate poles. Possible implications of the existence of these poles
are briefly addressed.
