2005/03/31 by Aleksey I. Alekseev, A. I. Alekseev
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1007/s00601-006-0154-2
published as Few Body Syst. 40 (2006) 57-70 · 9 pages, 1 figure, 1 table, some minor corrections, references added, accepted for publication in Few-Body Systems
arxiv created 2006/02/19 · openalex publication_date 2006/09/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29
Based on a study of the analytic running coupling obtained from the standard perturbation theory results up to four-loop order, the QCD ``synthetic'' running coupling αsyn is built. In so doing the perturbative time-like discontinuity is preserved and nonperturbative contributions not only remove the nonphysical singularities of the perturbation theory in the infrared region but also decrease rapidly in the ultraviolet region. In the framework of the approach, on the one hand, the running coupling is enhanced at zero and, on the other hand, the dynamical gluon mass mg arises. Fixing the parameter which characterize the infrared enhancement corresponding to the string tension σand normalization, say, at Mτcompletely define the synthetic running coupling. In this case the dynamical gluon mass appears to be fixed and the higher loop stabilization property of mg is observed. For σ= (0.42 GeV)2 and αsyn(M2τ) = 0.33 ± 0.01 it is obtained that mg = 530 ± 80 MeV.