3 citations · 3 across the 3 of their papers we have counts for
3 papers
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…
Strong-coupling expansions from field-space Fourier duality in scalar lattice field theory
Nikita A. Ignatyuk, Daniel Skliannyi
Dualities between quantum field theories provide useful descriptions of otherwise inaccessible parameter regimes. We develop a strong-coupling expansion for a class of Euclidean sc…