  We determine the gluonic spectral function $SU(3)$ Yang-Mills theory as well
as we found fermionic spectral functions in the strong quenched QED where we
found new solutions. Our novel technique provides solutions with the usual
branch cut for propagators while not showing any pole structure at the first
Riemann sheet (identical with entire complex plane) of complex square of
momentum. Implications and further utilizations are briefly adressed for QCD
and Standard model calculations.

High Energy Physics - Lattice;High Energy Physics - Phenomenology;High Energy Physics - Theory