  The orthogonality catastrophe (OC) problem is considered solved for 50 years.
It has important consequences for numerous dynamic phenomena in fermionic
systems, including Kondo effect, X-ray spectroscopy, and quantum diffusion of
impurities, and is often used in the context of metals. However, the key
assumptions on which the known solution is based---impurity potentials with
finite cross-section and non-interacting fermions---are both highly inaccurate
for problems involving charged particles in metals. As far as we know, the OC
problem for the "all Coulomb" case has never been addressed systematically,
leaving it unsolved for the most relevant practical applications. In this work
we include effects of dynamic screening in a consistent way and demonstrate
that for short-range impurity potentials the non-interacting Fermi-sea
approximation radically overestimates the power-law decay exponent of the
overlap integral. We also find that the dynamically screened Coulomb potential
leads to a larger exponent than the often used static Yukawa potential.
Finally, by employing the Diagrammatic Monte Carlo technique, we quantify
effects of a finite impurity mass and reveal how OC physics leads to small, but
finite, impurity residues.
