S. M. Sergeev, “Auxiliary transfer matrices for three-dimensional integrable models”, TMF, 124:3 (2000), 391–409; Theoret. and Math. Phys., 124:3 (2000), 1187

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Teoreticheskaya i Matematicheskaya Fizika, 2000, Volume 124, Number 3, Pages 391–409
DOI: https://doi.org/10.4213/tmf646 (Mi tmf646)

This article is cited in 15 scientific papers (total in 15 papers)

Auxiliary transfer matrices for three-dimensional integrable models

S. M. Sergeev

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Full-text PDF (280 kB) Citations (15)

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DOI: https://doi.org/10.4213/tmf646

Abstract: We formulate the local combinatorial method for constructing the complete set of operators that commute with the transfer matrix of the Zamolodchikov–Bazhanov–Baxter model in the vertex formulation. We find the compact functional equation satisfied by the generating functional of this complete set of operators.

Received: 24.01.2000

English version:
Theoretical and Mathematical Physics, 2000, Volume 124, Issue 3, Pages 1187–1201
DOI: https://doi.org/10.1007/BF02550997

Bibliographic databases:

Language: Russian

Citation: S. M. Sergeev, “Auxiliary transfer matrices for three-dimensional integrable models”, TMF, 124:3 (2000), 391–409; Theoret. and Math. Phys., 124:3 (2000), 1187–1201

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf646

https://doi.org/10.4213/tmf646

https://www.mathnet.ru/eng/tmf/v124/i3/p391

This publication is cited in the following 15 articles:

Sergeev, SM, “Quantization of three-wave equations”, Journal of Physics A-Mathematical and Theoretical, 40:42 (2007), 12709
Sergeev, SM, “Thermodynamic limit for a spin lattice”, Journal of Statistical Physics, 123:6 (2006), 1231
Sergeev, S, “Ansatz of Hans Bethe for a two-dimensional lattice Bose gas”, Journal of Physics A-Mathematical and General, 39:12 (2006), 3035
S. Sergeev, “Quantum curve in q‐oscillator model”, International Journal of Mathematics and Mathematical Sciences, 2006:1 (2006)
S. M. Sergeev, “Quantization scheme for modular $q$ -difference equations”, Theoret. and Math. Phys., 142:3 (2005), 422–430
S. M. Sergeev, “Functional Equations and Quantum Separation of Variables for 3d Spin Models”, Theoret. and Math. Phys., 138:2 (2004), 226–237
S. M. Sergeev, “Evidence for a Phase Transition in Three-Dimensional Lattice Models”, Theoret. and Math. Phys., 138:3 (2004), 310–321
Sergeev, SM, “Quantum integrable models in discrete 2+1-dimensional space-time: Auxiliary linear problem on a lattice, zero-curvature representation, isospectral deformation of the Zamolodchikov-Bazhanov-Baxter model”, Physics of Particles and Nuclei, 35:5 (2004), 567
Von Gehlen G., Pakuliak S., Sergeev S., “The modified tetrahedron equation and its solutions”, International Journal of Modern Physics A, 19 (2004), 179–204, Suppl. S
S. Z. Pakulyak, S. M. Sergeev, “Spectral Curves and Parameterization of a Discrete Integrable Three-Dimensional Model”, Theoret. and Math. Phys., 136:1 (2003), 917–935
Isaev, AP, “Quantum lax operators and discrete 2+1-dimensional integrable models?”, Letters in Mathematical Physics, 64:1 (2003), 57
von Gehlen, G, “Explicit free parametrization of the modified tetrahedron equation”, Journal of Physics A-Mathematical and General, 36:4 (2003), 975
Sergeev, S, “Complex of three-dimensional solvable models”, Journal of Physics A-Mathematical and General, 34:48 (2001), 10493
Sergeev S., “Integrable three dimensional models in wholly discrete space-time”, Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, Nato Science Series, Series II: Mathematics, Physics and Chemistry, 35, 2001, 293–304
S. Sergeev, Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, 2001, 293

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	206
References:	76
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