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We discuss the possible relation between certain geometrical properties ofthe loop space and energy evolution of the cusped Wilson exponentials definedon the light-cone. Analysis of the area differential equations for this specialclass of the Wilson loops calls for careful treatment of the ultraviolet andrapidity divergences which make those loopsnon-multiplicatively-renormalizable. We propose to consider the renormalizationproperties of the light-cone cusped Wilson loops from the point of view of theuniversal quantum dynamical approach introduced by Schwinger. We conjecture anddiscuss the relevance of the Makeenko-Migdal loop equations supplied with themodified Schwinger principle to the energy evolution of some phenomenologicallysignificant objects, such as transverse-momentum dependent distributionfunctions, collinear parton densities at large-$x$, etc.

Evolution of cusped light-like Wilson loops and geometry of the loop space