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

Abstract

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