  QCD sum rules for $D$ and $B$ mesons in a strongly interacting environment
require the decomposition of Gibbs averaged operators related to tensor
structures. We present a procedure to decompose these operators into vacuum and
medium-specific parts, thus defining plain medium-specific condensates with
coefficients vanishing in vacuum. Our decomposition allows for an
identification of potential elements of order parameters for chiral
restoration, in particular for higher mass-dimension quark-condensates which
would be masked otherwise if operators with uncontracted Lorentz indices would
be linked to DIS amplitudes.
