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Renormalons As Dilation Modes In The Functional Space, A. Babansky, I. Balitsky
Renormalons As Dilation Modes In The Functional Space, A. Babansky, I. Balitsky
Physics Faculty Publications
There are two possible sources of the factorial large-order behavior of a typical perturbative series. First, the number of different Feynman diagrams may be large; second, there may be 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.