Threshold Multiparticle Amplitudes in Phi^4 Theories at Large N

dc.creatorMakeenko, Yu.
dc.date1994-08-22
dc.date.accessioned2026-07-07T03:57:02Z
dc.date.available2026-07-07T03:57:02Z
dc.descriptionI review some recent work on the problem of multiparticle production in a phi^4-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.
dc.description20pp., Latex, YM-5-94 [Talk at Quarks-94]
dc.identifierhttps://arxiv.org/abs/hep-ph/9408337
dc.identifierhttp://arxiv.org/abs/hep-ph/9408337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/45245
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleThreshold Multiparticle Amplitudes in Phi^4 Theories at Large N
dc.typetext

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