Phys. Rev. Lett. 85, 4211–4214 (2000)Renormalons as Dilatation Modes in the Functional SpaceReceived 14 August 2000; published in the issue dated 13 November 2000 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.4211
DOI:
10.1103/PhysRevLett.85.4211
PACS:
12.38.Cy, 11.15.Bt, 11.15.Kc
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