As is known from QED, a possible solution to the ghost-pole trouble can be obtained by imposing the Q 2-analyticity imperative. Here, the pole is compensated by the α non-analytic contribution that… (More)

We discuss the new model expression ¯ α an (Q 2) recently obtained for the QCD running coupling with a regular ghost-free behavior in the " low Q 2 " region. Being deduced from the standard "… (More)

This text follows the line of a talk on Ringberg symposium dedicated to Wolfhart Zimmer-mann 70th birthday. The historical overview (Part 1) partially overlaps with corresponding text of my previous… (More)

Abstract By combining the trick of resummation of the π–terms for the invariant QCD coupling and observables in the timelike region with fresh results on the “analyticized” coupling αan(Q ) and… (More)

The connection between ghost–free formulations of RG–invariant perturbation theory in the both Euclidean and Minkowskian regions is investigated. Our basic tool is the " double spectral… (More)

The paper is devoted to the problem of constructing a special class of symmetries for boundary value problems (BVPs) in mathematical physics, namely renormalization group symmetries (hereafter… (More)

We begin with personal notes describing the atmosphere of " Bogoliubov renormalization group " birth. Then we expose the history of RG discovery in the QFT and of the RG method devising in the… (More)

We analyze the effect of π 2 terms in the QCD perturbative expansions for the s–channel effective coupling and observables and discuss their influence on the numerical values of strong coupling ¯ α s… (More)

We exploit theoretical results on the meson spectrum within the framework of a Bethe-Salpeter (BS) formalism adjusted for QCD, in order to extract an “experimental” coupling α s (Q) below 1 GeV by… (More)