Generic scaling relation in the scalar $ϕ^{4}$ model

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dc.creatorDerkachov, S. E.
dc.creatorManashov, A. N.
dc.date1996-04-27
dc.date.accessioned2026-07-07T10:58:43Z
dc.date.available2026-07-07T10:58:43Z
dc.descriptionThe results of analysis of the one--loop spectrum of anomalous dimensions of composite operators in the scalar $ ϕ^{4} $ model are presented. We give the rigorous constructive proof of the hypothesis on the hierarchical structure of the spectrum of anomalous dimensions -- the naive sum of any two anomalous dimensions generates a limit point in the spectrum. Arguments in favor of the nonperturbative character of this result and the possible ways of a generalization to other field theories are briefly discussed.
dc.description15 pages, Latex, 50 KB
dc.identifierhttps://arxiv.org/abs/hep-th/9604173
dc.identifierhttp://arxiv.org/abs/hep-th/9604173
dc.identifierJ.Phys.A29:8011-8024,1996
dc.identifierdoi:10.1088/0305-4470/29/24/024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187201
dc.subjectHigh Energy Physics - Theory
dc.titleGeneric scaling relation in the scalar $ϕ^{4}$ model
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