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

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

1996-04-27

arxiv.org/abs/hep-th/9604173v1

J.Phys.A29:8011-8024,1996

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Latex, 50 KB

Scientific paper

10.1088/0305-4470/29/24/024

The results of analysis of the one--loop spectrum of anomalous dimensions of composite operators in the scalar $ \phi^{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.

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