15 research outputs found
Generic scaling relation in the scalar model
The results of analysis of the one--loop spectrum of anomalous dimensions of
composite operators in the scalar 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.Comment: 15 pages, Latex, 50 K