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QCD sum rules for $D$ and $B$ mesons in a strongly interacting environmentrequire the decomposition of Gibbs averaged operators related to tensorstructures. We present a procedure to decompose these operators into vacuum andmedium-specific parts, thus defining plain medium-specific condensates withcoefficients vanishing in vacuum. Our decomposition allows for anidentification of potential elements of order parameters for chiralrestoration, in particular for higher mass-dimension quark-condensates whichwould be masked otherwise if operators with uncontracted Lorentz indices wouldbe linked to DIS amplitudes.

Defining medium-specific condensates in QCD sum rules for $D$ and $B$ mesons