  We show that long-distance quantum correlations probe short-distance physics.
Two disjoint regions of the latticized, massless scalar field vacuum are
numerically demonstrated to become separable at distances beyond the negativity
sphere, which extends to infinity in the continuum limit. The size of this
quantum coherent volume is determined by the highest momentum mode supported in
the identical regions, each of diameter $d$. More generally, effective field
theories (EFTs), describing a system up to a given momentum scale $\Lambda$,
are expected to share this feature -- entanglement between regions of the
vacuum depends upon the UV-completion beyond a separation proportional to
$\Lambda$. Through calculations extended to three-dimensions, the magnitude of
the negativity at which entanglement becomes sensitive to UV physics in an EFT
(lattice or otherwise) is conjectured to scale as $\sim e^{-\Lambda d}$,
independent of the number of spatial dimensions. It is concluded that
two-region vacuum entanglement at increasing separations depends upon the
structure of the theory at increasing momentum scales. This phenomenon may be
manifest in perturbative QCD processes.
