Known Bethe ansatz results about the sine-Gordon factorized scattering
are reinterpreted in terms of perturbed conformal field theory. We ob
tain an exact relation between the ultraviolet and asymptotic scales (
i.e. between the dimensional coupling constant and the soliton mass) a
nd an explicit expression for the vacuum energy. The reduction techniq
ue then permits one to relate exactly the coupling constants and the m
ass scales in the Phi(13)-perturbed minimal CFT models. The preasympto
tically free situation at beta(2) near 8 pi is discussed on a prelimin
ary footing.