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2015, Volume 185, Number 1  


Representation of the $\beta$-function and anomalous dimensions by nonsingular integrals in models of critical dynamics
L. Ts. Adzhemyan, S. E. Vorobyeva, M. V. Kompaniets
3
Bosonization of the meson sector of QCD and parity breaking in strong interactions
A. A. Andrianov, V. A. Andrianov
12
Influence of the quark–gluon string fusion mechanism on long-range rapidity correlations and fluctuations
E. V. Andronov
28
Random interface growth in a random environment: Renormalization group analysis of a simple model
N. V. Antonov, P. I. Kakin
37
Ambiguity in renormalization of the conductance of an X-junction between quantum wires with a Luttinger-type interaction
D. N. Aristov, R. A. Niyazov
57
Orthogonal polynomials and deformed oscillators
V. V. Borzov, E. V. Damaskinsky
68
High energy physics in the vicinity of rotating black holes
A. A. Grib, Yu. V. Pavlov
77
Quantum particle in a random medium
G. V. Efimov
86
Some properties of the shape-invariant two-dimensional Scarf II model
M. V. Ioffe, E. V. Kolevatova, D. N. Nishnianidze
99
Algebraic calculation of the resolvent of a generalized quantum oscillator in a space of dimension $D$
K. S. Karpov, Yu. M. Pis'mak
109
Chebyshev polynomials for a three-dimensional algebra
V. D. Lyakhovsky
118
Splints of root systems for special Lie subalgebras
V. D. Lyakhovsky, A.A. Nazarov, P. I. Kakin
127
Generalized Pascal's triangles and singular elements of modules of Lie algebras
V. D. Lyakhovsky, O. V. Postnova
139
Fluctuation potential of the interaction between a neutral atom and a diffraction grating
V. N. Marachevsky
151
Relation between quantum effects in general relativity and embedding theory
S. A. Paston
162
Calculation of the critical index $\eta$ for the $\varphi^3$ theory by the conformal bootstrap method
A. L. Pismenskii
179
Antiquantization and the corresponding symmetries
S. Yu. Slavyanov
186
Phase space of a gravitating particle and dimensional reduction at the Planck scale
A. N. Starodubtsev
192
Comments on polaron–phonon scattering theory
A. V. Tulub
199
Classification of minimum global embeddings for nonrotating black holes
A. A. Sheikin, S. A. Paston
213
Теоретическая и математическая физика Theoretical and Mathematical Physics
 
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