Soft-Gluon Production Due to a Gluon Loop in a Constant Chromo-Electric   Background Field
  We obtain an exact result for the soft gluon production and its p_T distribution due to a gluon loop in a constant chromo-electric background field E^a with arbitrary color. Unlike Schwinger's result for e^+e^- pair production in QED which depends only on one gauge invariant quantity, the Electric field E, we find that the p_T distribution of the gluons depend on two gauge invariant quantities, E^aE^a and [d_{abc}E^aE^bE^c]^2. 
Gouranga C. Nayak (SUNY, Stony Brook) and Peter van Nieuwenhuizen   (SUNY, Stony Brook)