The gluon propagator

The vector gluon propagator of quantum chromodynamics is investigated by means of the gauge technique. The technique provides a self-consistency equation for the propagator from which one may recover the asymptotic freedom behaviour p² Delta to (1+ gamma ln(-p²/ mu ²))^-1 in the ultraviolet regime p²>> mu ². The corresponding behaviour in the infrared limit p²<< mu ² is found to be p² Delta approximately (1n(-p²/ mu ²))^-2.