Document Type

Article

Publication Date

2000

DOI

10.1103/PhysRevLett.85.4211

Publication Title

Physical Review Letters

Volume

85

Issue

20

Pages

4211-4214

Abstract

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.

Comments

© 2000 American Physical Society.

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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

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