On the classical lump of Yang-Mills fields

It is shown that for pure Yang-Mills fields there is no lump phenomena if the total energy is infinite and diverges mildly in a certain sense. This improves the well-known classical result on the absence of a lump for the finite total energy case. Some exact lump solutions are obtained showing that the energy condition cannot be removed. The results are valid for more general fields.This work was supported by the Chinese Natural Science Foundation, the Chinese Fund of Doctor Programs, and the University of Paris VI, and University of Bourgogne.