NONPERTURBATIVE ISOTROPIC MULTIPARTICLE PRODUCTION IN YANG-MILLS THEORY

We use singular Euclidean solutions to find multiparticle production c ross sections in field theories. We investigate a family of time-depen dent O(3) symmetrical solutions of the Yang-Mills equations, which gov ern the isotropic high-energy gauge boson production. At low energies our approach reproduces the instanton-induced cross sections. For high er energies we get new results. In particular, we show that the cross section for isotropic multiparticle production remains exponentially s mall in the running gauge coupling constant. The result applies both t o baryon number violation in the electroweak theory and to QCD jet pro duction, We find that the isotropic multigluon production cross sectio n falls off approximately as a ninth power of energy but possibly migh t be observable.