Infrared asymptotics of fermion Green functions in some models of quantum chromodynamics

The infrared asymptotics of quark propagator in the Bloch-Nordsieck (BN) approximation is investigated with the use of the Schwinger-Dyson equation. The Bloch-Nordsieck approximation is considered in QCD and in ''Abelian chromodynamics''. The infrared asymptotics is calculated in this model for two-point fermion Green function in the axial gauge. The problem on the influence of ultraviolet corrections for infrared asymptotics of the fermion propagator is considered and the infrared asymptotics of the electron propagator in QED in the axial gauge is calculated