Renormalons as dilatation modes in the functional space
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.
Babansky
A
Physics Department, Old Dominion University, Norfolk, Virginia 23529 and and Theory Group, Jefferson Lab, Newport News, Virginia 23606, USA.
Balitsky
I