Soft-Gluon Production Due to a Gluon Loop in a Constant Chromo-Electric Background Field

Abstract

We obtain an exact result for the soft gluon production and its pT distribution due to a gluon loop in a constant chromo-electric background field Ea 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 pT distribution of the gluons depend on two gauge invariant quantities, EaEa and [dabcEaEbEc]2.

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