Assuming the gluon propagator to be finite at g s 2 / 4 π ≡ α → α * , where α * = α ( 0 ) , we derive its low-momentum asymptotics. In some cases the results modify the known ones. In our work, we also establish the field-theoretical nature of a universal phenomenological parameter introduced in works 1 and determining the behaviour of Green’s functions in the infrared region. The importance of studying the renormalization group parameters in the vicinity of the infrared stable point is emphasized.
Vladimir A. Petrov (Sun,) studied this question.