QCD Green functions in a gluon field

We formulate a dressed perturbative expansion of QCD, where the standard diagrams are evaluated in the presence of a constant external gluon field whose magnitude is gaussian distributed. The approach is Poincaré and gauge invariant, and modifies the usual results for hard processes only by power suppressed contributions. Long distance propagation of quarks and gluons turns out to be inhibited due to a branch point singularity instead of a pole at p = 0 in the quark and gluon propagators. The dressing keeps the (massless) quarks in qq̄ fluctuations of the photon at a finite distance from each other.