1994/08/22 by Yu.M. Makeenko, Yu. Makeenko, Makeenko, Yu.
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.hep-ph/9408337
20pp., Latex, YM-5-94 [Talk at Quarks-94]
arxiv created 1994/08/22 · openalex publication_date 1994/08/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I review some recent work on the problem of multiparticle production in a phi4-theory with an O(N) symmetry. Threshold amplitudes with fixed number of produced particles are exactly calculated at large-N to all loops and vanish on mass shell for 2->n when n>2 due to a dynamical symmetry. I consider an extension to the cases when the O(N) symmetry is softly broken by masses including spontaneous breaking of a remaining reflection symmetry. The exact solutions are obtained by the Gelfand--Dikii technique of finding the diagonal resolvent of the Schrodinger operator which emerges due to factorization at large N. I report also some new results on the diagonal resolvent for a general Poschl--Teller potential, which could be useful for calculations of multiparticle amplitudes in the standard model.