2002/11/30 by Gorazd Cvetič, Gorazd Cvetic
Physics and Astronomy · #High-Energy Particle Collisions Research #Infrared #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Renormalon #hep-ph
paper · pdf · doi:10.1103/physrevd.67.074022
published as Phys.Rev. D67 (2003) 074022 · 6 pages, revtex4, 1 eps-figure; improved version - the paragraph containing Eqs.(18) and (19) is new, as well as the next paragraph; the Title modified; some references added; version to appear in Phys. Rev. D
arxiv created 2003/02/10 · openalex publication_date 2003/04/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The relation between the infrared renormalons, the Borel resummation prescriptions, and the analyticity structure of Green's functions in perturbative QCD is investigated. A specific recently suggested Borel resummation prescription resulted in a principal value and an additional power-suppressed correction that is consistent with operator product expansion. Arguments requiring the finiteness of the result for any power coefficient of the leading infrared renormalon, and consistency in the case of the absence of that renormalon, require that this prescription be modified. The apparently most natural modification leads to the result represented by the principal value. The analytic structure of the amplitude in the complex coupling plane, obtained in this way, is consistent with that obtained in the literature by other methods.