Abstract :
The Schwinger-Dyson equation for the gluon propagator in the axial gauge is considered with account of the gauge identities for the gluon Greenʹs functions. A possibility of soft singular power type infrared behaviour for the gluon propagator is studied, D(q) ∼ (q2)−c, q2 → 0 where c is a small positive number. Under certain assumptions a characteristic equation for the exponent is obtained. This equation is shown not to have solutions in the interval 0 < c < 1.
