88 citations · 124 across the 11 of their papers we have counts for
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Calculation of Some Integrals over Gaussian Measure with Nuclear Covariance Operator in Separable Hilbert Space
Nikita A. Ignatyuk, Anna A. Ogarkova, Stanislav L. Ogarkov
The main purpose of this paper is to construct convergent series for the approximate calculation of certain integrals over the Gaussian measure with a nuclear covariance operator,…
Nonlocal Fractional Quantum Field Theory and Converging Perturbation Series
Nikita A. Ignatyuk, Stanislav L. Ogarkov, Daniel V. Skliannyi
The main purpose of this paper is to derive a new perturbation theory (PT) that has converging series. Such series arise in the nonlocal scalar quantum field theory (QFT) with frac…
On Functional Hamilton-Jacobi and Schrödinger Equations and Functional Renormalization Group
M. G. Ivanov, A. E. Kalugin, A. A. Ogarkova +1
Functional Hamilton-Jacobi (HJ) equation, the central equation of the holographic renormalization group (HRG), functional Schrödinger equation, and generalized Wilson-Polchinski (W…
Nonlocal Scalar Quantum Field Theory: Functional Integration, Basis Functions Representation and Strong Coupling Expansion
M. Bernard, V. A. Guskov, M. G. Ivanov +2
Nonlocal QFT of one-component scalar field in -dimensional Euclidean spacetime is considered. The generating functional (GF) of complete Green functions as a f…
-Matrix of Nonlocal Scalar Quantum Field Theory in the Representation of Basis Functions
I. V. Chebotarev, V. A. Guskov, S. L. Ogarkov +1
Nonlocal quantum theory of one-component scalar field in -dimensional Euclidean spacetime is studied in representations of -matrix theory for both polynomial and no…
A Note on Efimov Nonlocal and Nonpolynomial Quantum Scalar Field Theory
V. A. Guskov, M. G. Ivanov, S. L. Ogarkov
In frames of the nonlocal and nonpolynomial quantum theory of the one component scalar field in -dimensional spacetime, stated by Gariy Vladimirovich Efimov, the expansion of th…
On Functional and Holographic Renormalization Group Methods in Stochastic Theory of Turbulence
S. L. Ogarkov
A nonlocal quantum-field model is constructed for the system of hydrodynamic equations for incompressible viscous fluid (the stochastic Navier--Stokes (NS) equation and the continu…