  In the planar limit of QCD meson correlation functions can be written as a
path-integral for a spin-half particle with each path being weighted by the
expectation value of the corresponding Super Wilson Loop. An important quantity
in this context is the expectation value of the Super Wilson Loop averaged over
loops of fixed length. I obtain the leading and the sub-leading length
dependence for this quantity. The leading term, which was also known from the
work of Banks and Casher, reflects the fact that chiral symmetry is
spontaneously broken in planer QCD, while the sub-leading term implies that at
least a finite fraction of paths contributing to the average of the Super
Wilson Loop are effectively two-dimensional, thus suggesting a dual string
description of planar QCD.
