Asymptotic Regimes of Hadron Scattering in QCD

Possible modes of asymptotic behavior of the amplitudes of hadron scattering in QCD are discussed. It is shown that the condition of triviality of the scattering matrix when the interaction of the fundamental fields is turned off leads to the impossibility of cross-sections that do not decrease with energy in the case of pure gluodynamics. It is also shown that in the presence of at least one type of massive quark the ban is lifted. Some consequences of the presence of an infrared fixed point are also discussed.