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arXiv · hep-th/9604173

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

S. E. Derkachov·A. N. Manashov
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Abstract

The 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.

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S. E. Derkachov, A. N. Manashov. 1996-04-27. Generic scaling relation in the scalar $ϕ^{4}$ model. https://doi.org/10.1088/0305-4470%2F29%2F24%2F024

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