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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

2007, Volume 347

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Questions of quantum field theory and statistical physics. Part 20


Standard model of fermions on domain wall in five dimension space-time
A. A. Andrianov, V. A. Andrianov, P. Giacconi, R. Rodenberg, R. Soldati
5
Note on renormalization of quantum equation of motion for matrix sigma-model
A. A. Bagaev
30
Four-vertex model
N. M. Bogolyubov
34
On the calculation of the asymptotics of the two-point correlation function of the one-dimensional Bose gas in the trapping potential
N. M. Bogolyubov, K. L. Malyshev
56
On string solutions of Bethe equations in $\mathcal{N}=4$ supersymmetric Yang–Mills theory
A. G. Bytsko, I. E. Shenderovich
75
Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$
P. A. Valinevich, S. È. Derkachev, D. R. Karakhanyan, R. Kirshner
88
About peripheral zone of disturbance from the local impulse in string mesh formed by two systems of strings with different impedances
I. A. Volkov, I. A. Kushmar
107
On canonical variables for integrable models of magnets
E. Sh. Gutshabash
117
Factorization of the R-matrix and Baxter's Q-operator
S. È. Derkachev
144
Quantum algebras with representation ring of $\operatorname{sl}(2)$ type
P. P. Kulish, N. Manoilovich
167
Algebraic Bethe ansatz for seven-vertex model
P. P. Kulish, P. D. Ryasichenko
178
Parabolic twists for linear algebras $A_{n-1}$
V. D. Lyakhovsky
187
Factorization of nonlinear supersymmetry in one-dimensional quantum mechanics II: proofs of theorems on reducibility
A. V. Sokolov
214


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