2000/08/07 by A. Babansky, A. D. Babansky, I. Balitsky +1 · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Configuration space #Diagram #Factorial #Feynman diagram #Instanton #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Series (stratigraphy) #Space (punctuation) #Theoretical physics #hep-ph
paper · pdf · doi:10.1103/physrevlett.85.4211
published in Physical Review Letters 85(20), 4211-4214 (American Physical Society) · 19 pages, latex, 5 eps figures
arxiv created 2000/08/07 · openalex publication_date 2000/11/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.