  We consider electronic and magnetic properties of chromium, a well-known
itinerant antiferromagnet, by a combination of density functional theory (DFT)
and dynamical mean-field theory (DMFT). We find that electronic correlation
effects in chromium, in contrast to its neighbours in the periodic table, are
weak, leading to the quasiparticle mass enhancement factor ${m^*/m \approx
1.2}$; our results for local spin-spin correlation functions indicate that the
local magnetic moments are not formed. The non-uniform magnetic susceptibility
as a function of momentum possesses sharp maxima, corresponding to Kohn
anomalies, close to the wave vector ${{\mathbf Q}_{\rm H}=(0,0,2\pi/a)}$ ($a$
is the lattice constant), similarly to previous results of DFT at ambient
pressure. We find that these maxima are preserved by the interaction and are
not destroyed by pressure. Our calculations qualitatively capture a decrease of
the N\'eel temperature with pressure and a breakdown of itinerant
antiferomagnetism at pressure of $\sim$9 GPa in agreement with experimental
data, although the N\'eel temperature is significantly overestimated because of
the mean-field nature of DMFT.
