  We investigate four-dimensional near-conformal dynamics by means of the
large-charge limit. We first introduce and justify the formalism in which
near-conformal invariance is insured by adding a dilaton and then determine the
large-charge spectrum of the theory. The dilaton can also be viewed as the
radial mode of the EFT. We calculate the two-point functions of charged
operators. We discover that the mass of the dilaton, parametrising the
near-breaking of conformal invariance, induces a novel term that is logarithmic
in the charge. One can therefore employ the large-charge limit to explore
near-conformal dynamics and determine dilaton-related properties.
