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arXiv · hep-ph/0008062

Renormalons as dilatation modes in the functional space

A. Babansky·I. Balitsky
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Abstract

There are two sources of the factorial large-order behavior of a typical perturbative series. First, the number of the different Feynman diagrams may be large; second, there are abnormally large diagrams known as renormalons. It is well known that the large combinatorial number of diagrams is described by instanton-type solutions of the classical equations. We demonstrate that from the functional-integral viewpoint the renormalons do not correspond to a particular configuration but manifest themselves as dilatation modes in the functional space.

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A. Babansky, I. Balitsky. 2000-08-07. Renormalons as dilatation modes in the functional space. https://doi.org/10.1103/physrevlett.85.4211

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