2000/03/24 by D. V. Shirkov, Shirkov, D. V.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0003242
16 pages, LaTeX2e, edited version with 2 new PostScript figures
openalex publication_date 2000/03/24 · arxiv created 2000/07/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish direct connection between ghost-free formulations of RG-invariant perturbation theory in the both Euclidean and Minkowskian regions. By combining the trick of resummation of the π2-terms for the invariant QCD coupling and observables in the time-like region with fresh results on the "analyticized" coupling α\rm an(Q2) and observables in the space-like domain we formulate a self-consistent scheme, free of ghost troubles. The basic point of this joint construction is the "dipole spectral relation" emerging from axioms of local QFT. Then we consider the issue of the heavy quark thresholds and devise a global scheme for the data analysis in the whole accessible space-like and time-like domain with various numbers of active quarks. Observables in both the regions are presented in a form of non-power perturbation series with improved convergence properties. Preliminary estimates indicate that this global scheme produces results a bit different - on a few per cent level for αs - from the usual one, thus influencing the total picture of the QCD parameters correlation.