  In a previous paper we have shown that in quantum chromodynamics the gluon
propagator vanishes in the infrared limit, while the ghost propagator is more
singular than a simple pole. These results were obtained after angular
averaging, but in the current paper we go beyond this approximation and perform
an exact calculation of the angular integrals. The powers of the infrared
behaviour of the propagators are changed substantially. We find the very
intriguing result that the gluon propagator vanishes in the infrared exactly
like p^2, whilst the ghost propagator is exactly as singular as 1/p^4. We also
find that the value of the infrared fixed point of the QCD coupling is much
decreased from the y-max estimate: it is now equal to 4\pi/3.
