12 citations · 30 across the 5 of their papers we have counts for
5 papers
The (2+1)-dim Axial Universes -- Solutions to the Einstein Equations, Dimensional Reduction Points, and Klein-Fock-Gordon Waves
P. P. Fiziev, D. V. Shirkov
The paper presents a generalization and further development of our recent publications where solutions of the Klein-Fock-Gordon equation defined on a few particular -dim s…
Solutions of the Klein-Gordon equation on manifolds with variable geometry including dimensional reduction
P. P. Fiziev, D. V. Shirkov
We develop the recent proposal to use dimensional reduction from the four-dimensional space-time D=(1+3) to the variant with a smaller number of space dimensions D=(1+d), d < 3, at…
Analytic Perturbation Theory for QCD observables
D. V. Shirkov
The connection between ghost-free formulations of RG-invariant perturbation theory in the both Euclidean and Minkowskian regions is studied. Our basic tool is the "double spectral…
The Role of Renormalization Group in Fundamental Theoretical Physics
Dmitri V. Shirkov
General aspects of fundamental physics are considered. We comment the Wigner's logical scheme and modify it to adjust to modern theoretical physics. Then, we discuss the role and i…
The Bogoliubov Renormalization Group
D. V. Shirkov
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 devis…