Physical Review Letters
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.
Original Publication Citation
Babansky, A., & Balitsky, I. (2000). Renormalons as dilatation modes in the functional space. Physical Review Letters, 85(20), 4211-4214. https://doi.org/10.1103/PhysRevLett.85.4211
Babansky, A. and Balitsky, I., "Renormalons as Dilation Modes in the Functional Space" (2000). Physics Faculty Publications. 601.