Nonperturbative isotropic multiparticle production in Yang-Mills theory

Dmitri Diakonov and Victor Petrov
Phys. Rev. D 50, 266 – Published 1 July 1994
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Abstract

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

  • Received 29 July 1993

DOI:https://doi.org/10.1103/PhysRevD.50.266

©1994 American Physical Society

Authors & Affiliations

Dmitri Diakonov and Victor Petrov

  • St. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188350, Russia
  • Institut für Theoretische Physik-II, Ruhr-Universität-Bochum, 44780, Bochum, Germany

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Vol. 50, Iss. 1 — 1 July 1994

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