Infrared asymptotics of power type for the gluon propagator in the axial gauge

The possibility of a power infrared behaviour of the full gluon propagator, D(k) approximately 1/(ksup(2))sup(β+1), k2→0, is considered for the gauge theories of the type of the massless Yang-Mills field. The study is performed in the axial gauge. The equation for the exponent of the infrared asymptotics is the consequence of the Schwinger-Dyson equation and the Ward-Slavnov identity. The dimensional regularization technique is used. It is shown that under some assumptions there is a discrete spectrum of exponents of the infrared asymptotics which in the limit k2→0 are in accordance with the Schwinger- Dyson equation and Ward-Slavnov identity. The numerical analysis is carried out for determining values of these exponents