Vol. 51, No. 4, 2020
A Message from the Editorial Board
p. 381 abstract
Nikolai Nikolaevich Bogolyubov, an Outstanding Scientist, the Founder of the KB-11 Mathematical School
p. 383 abstract
Characterization of Product States on Polynomial Algebras in Terms of Scalar Products of the Associated n-Particle Vectors
p. 387 abstract
Deformations and Homotopy of Rota–Baxter Operators and $\mathcal{O} - $Operators on Lie Algebras
p. 393 abstract
Parabolic Verma Modules and Invariant Differential Operators
p. 399 abstract
Dirac Operators with a δ-Shell Interaction
p. 405 abstract
Maximally Chaotic Dynamical Systems of Anosov–Kolmogorov
p. 410 abstract
Trotter–Kato Product Formulae in Normed Ideals
p. 419 abstract
Functional Integration over the Factor-Space ${{Diff_{ + }^{1}({{S}^{1}})} \mathord{\left/ {\vphantom {{Diff_{ + }^{1}({{S}^{1}})} {SL(2,{\mathbf{R}})}}} \right. \kern-0em} {SL(2,{\mathbf{R}})}}$
p. 424 abstract
Four-Vertex Model in the Linearly Growing External Field under the Fixed and Periodic Boundary Conditions
p. 429 abstract
Integrability Aspects of the Current Algebra Representation and the Factorized Quantum Nonlinear Schrödinger Type Dynamical Systems
p. 434 abstract
On Measures of Classicality/Quantumness in Quasiprobability Representations of Finite-Dimensional Quantum Systems
p. 443 abstract
On Eigenstate Thermalization Hypothesis
p. 448 abstract
q-Deformation and Free Statistics for Interaction of a Field and a Particle
p. 452 abstract
Nuclear Decay Oscillations and Nonlinear Quantum Dynamics
p. 458 abstract
Maximization of the Uhlmann–Jozsa Fidelity for an Open Two-Level Quantum System with Coherent and Incoherent Controls
p. 464 abstract
Bohr–Sommerfeld Quantization Rule in the Case of a Two-Dimensional Motion of a Quantum Particle in the Field of Decreasing Power-Like Potential
p. 470 abstract
Representation Theory of the Yangian of the Lie Superalgebra and the Quantum Loop Superalgebra
p. 474 abstract
Exact Non-Markovian Evolution with Several Reservoirs
p. 479 abstract
Entropy Gain in $p$-Adic Quantum Channels
p. 485 abstract
Holography for Nonperturbative Study of QFT
p. 489 abstract
BFKL Equation: Status and Problems
p. 497 abstract
The Bogolyubov $\mathcal{R}$-Operation in Nonrenormalizable Theories
p. 503 abstract
Superconformal Indices, Seiberg Dualities and Special Functions
p. 508 abstract
Manifestations of Quantum Anomalies of Field Theory in Quantum Statistical Mechanics
p. 514 abstract
Multiscale Gauge Invariance
p. 521 abstract
The Bogolyubov Compensation Principle and Anomalous Interactions of Electroweak Bosons
p. 526 abstract
Pentagon OPE Resummation in N = 4 SYM: One Effective Particle and MHV Amplitude
p. 531 abstract
On the Drag Force of a Heavy Quark via 5d Kerr-AdS Background
p. 535 abstract
High-Energy Standard Model from the Gauge Group Contraction
p. 540 abstract
Massless Infinite Spin Representations
p. 545 abstract
Supersymmetric Calogero Models from Superfield Gauging
p. 551 abstract
Spontaneous Symmetry Breaking in the Sachdev–Ye–Kitaev Model
p. 557 abstract
Landau–Khalatnikov–Fradkin Transformation and Hatted ζ-Values
p. 562 abstract
MS4: An Alternative to the Bogolyubov–Parasiuk–Hepp–Zimmermann (BPHZ) Theory
p. 567 abstract
Bogolyubov–Medvedev–Polivanov S-matrix Method and Its Application to Multi-Particle Systems and in High-Energy Physics
p. 572 abstract
Interaction of Massless Dirac Field with 2D-Material in a Model Constructed in the Framework of Symanzik Approach
p. 578 abstract
Exotic Nonlinear Supersymmetry and Integrable Systems
p. 583 abstract
On Some Equations Modeling the Yang–Mills Equations
p. 589 abstract
BBGKY Method in Strong Field QED
p. 595 abstract
NSVZ Relation and NSVZ Scheme in $\mathcal{N} = 1$ Non-Abelian Supersymmetric Gauge Theories
p. 599 abstract
Practice of Constructing Nondegenerate Two-Loop Generalized IBP Identities
p. 604 abstract
Two-Loop Kite Master Integral for a Correlator of Two Composite Vertices
p. 609 abstract
Quantum Field Theory Beyond the S-Matrix Formalism
p. 614 abstract
Effective Field Theory for Physics Beyond the Standard Model
p. 619 abstract
Semileptonic Decays of Heavy Baryons
p. 625 abstract
Fate of Light Scalar Mesons
p. 632 abstract
Light Scalars in NMSSM and $B \to K{\kern 1pt} *{\kern 1pt} ll$ Angular Observables
p. 640 abstract
One-Loop Electroweak Radiative Corrections to Bhabha Scattering in the Belle II Experiment
p. 645 abstract
Neutrino Mass and Singlet in BSM
p. 651 abstract
Nuclear Structure Correction to Hyperfine Splitting in Light Muonic Ions
p. 657 abstract
Heavy Baryon Spectroscopy
p. 661 abstract
Mesons and Glueballs, the Strong Effective Coupling within Analytic Confinement
p. 668 abstract
Analysis of Overlapping Resonances Using the K-Matrix and Breit–Wigner Methods
p. 673 abstract
Nonleptonic Decays of Doubly Charmed Baryons
p. 678 abstract
Quarks, Gluons and Glueballs
p. 686 abstract
Spectroscopy of HD+: Proton Charge Radius and the Rydberg Constant
p. 690 abstract
The Search for Light Dark Matter at NA64 Experiment
p. 697 abstract
R-Ratio of e+e– → Hadrons: Explicit Form
p. 703 abstract
E6 Inspired Composite Higgs Model and Baryon Asymmetry Generation
p. 709 abstract
Two-Jet Correlations in Multijet Events in the Regge Limit of QCD
p. 714 abstract
$\tau \to K{\text{*}}\pi \nu $ and $\tau \to [\phi ,\omega ]K\nu $ Decays in the Extended Nambu–Jona-Lasinio Model
p. 720 abstract
Studying the Landau Mass Parameter of the Extended σ–ω Model for Neutron Star Matter
p. 725 abstract
Double Layer in the Quadratic Gravity and the Least Action Principle
p. 730 abstract
Massless Cosmic Strings in Spacetimes with Global Parabolic Isometries
p. 735 abstract
Quantum Leaps in the Vicinity of One-Loop Gravity Black Holes
p. 739 abstract
Superpotential Method for $F(R)$ Cosmological Models
p. 744 abstract
Tests of Gravitational Theories with Observations of the Galactic Center and the Center of the Galaxy M87
p. 750 abstract
Brane Mechanism of Spontaneously Generated Gravity
p. 757 abstract
EM Field Frequency Down-Conversion in a Quantum Two-Level System Damped by Squeezed Vacuum Reservoir
p. 762 abstract
Time Evolution of Open Nonequilibrium Systems and Irreversibility
p. 766 abstract
Conventional Quantum Statistics with a Probability Distribution Describing Quantum System States
p. 772 abstract
The BBGKY Hierarchy of Quantum Kinetic Equations and Its Application in Cryptography
p. 781 abstract
The Berezinskii–Kosterlitz–Thouless Transition and Melting Scenarios of Two-Dimensional Systems
p. 786 abstract
On the Proof of Existence of Microscopic Solutions to the Boltzmann–Enskog Kinetic Equation
p. 791 abstract
Superconductivity in Electronic Systems with Strong Correlations
p. 797 abstract
Macroscopic Dynamics of the Strong-Coupling BCS-Hubbard Model
p. 802 abstract
On the Propagation of Short Electromagnetic Pulses through Quantum Metamaterials
p. 807 abstract
Anomalous Dimensions of Leading Composite Operators in the Kinematic MHD Turbulence: Two-Loop Renormalization Group Analysis
p. 812 abstract
Resonance Properties of the Josephson Junctions with Ferromagnets
p. 816 abstract
Hartree–Fock–Bogolubov Method in the Theory of Bose-Condensed Systems
p. 823 abstract