Super Wilson Loops in Planar QCD

Abstract

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.