Road to fractals in a Yang-Mills system

A numerical profile is presented of the SU(2) Yang-Mills system in 2+1 dimensions. A particular set of smooth analytic initial conditions leads in a finite time to approximate fractalization of the potentials, fields, and energy density, plotted as functions of position. The system is chosen to be uniform in one of the spatial directions. The central result is a granulation (in one dimension) of the energy into a sprinkling of particlelike peaks with, so far, some background energy left over. The wave-number spectrum is found to spread very slowly in time. A simple algorithm is proposed for monitoring its progress.