Renormalons as dilatation modes in the functional space

Details Renormalons as dilatation modes in the functional space Renormalons as dilatation modes in the functional space

2000-08-07

arxiv.org/abs/hep-ph/0008062v1

Phys.Rev.Lett.85:4211-4214,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, latex, 5 eps figures

Scientific paper

10.1103/PhysRevLett.85.4211

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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