Short-distance and short-time structure of a unitary Fermi gas

We consider the operator product expansions for unitarity fermions. We compute the dynamic structure factor S(q,ω) at large frequency and wave number away from the one-particle peak. The overall normalization of S(q,ω) is determined by Tan's contact parameter, and the dependence on q and ω is obtained in closed analytic form. We also find energy deposited into the system by small, rapid variations of the inverse scattering length.