104 citations · 196 across the 4 of their papers we have counts for
3 papers
math-ph2008★ 27 cited
Renormalization-group symmetries for solutions of nonlinear boundary value problems
V. F. Kovalev, D. V. Shirkov
Approximately 10 years ago, the method of renormalization-group symmetries entered the field of boundary value problems of classical mathematical physics, stemming from the concept…
hep-ph2006★ 104 cited
Ten years of the Analytic Perturbation Theory in QCD
D. V. Shirkov, I. L. Solovtsov
The renormalization group method enables one to improve the properties of the QCD perturbative power series in the ultraviolet region. However, it ultimately leads to the unphysica…
hep-th1998★ 38 cited
Renorm-group, Causality and Non-power Perturbation Expansion in QFT
D. V. Shirkov
The structure of the QFT expansion is studied in the framework of a new "Invariant analytic" version of the perturbative QCD. Here, an invariant (running) coupling $a(Q^2/Λ^2)=β_1α…