From the point of view that a laser system near the threshold is simil
ar to a ferromagnetic phase transition system, applying renormalizatio
n group theory (RGT) and the Feynman diagram expansion technique, we i
nvestigated the correlation function of a laser system. We discuss the
influences of the crystal structure and coloured noise of the medium
on this correlation function and also the ''critical slowing down'' of
the system.