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Derkachov, Sergei Èduardovich
Statistics Math-Net.Ru
Total publications: 37
Scientific articles: 37
Presentations: 6

Number of views:
This page:3223
Abstract pages:11927
Full texts:4338
References:1497
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https://www.mathnet.ru/eng/person21044
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/338498

Publications in Math-Net.Ru Citations
2023
1. N. Belousov, S. Derkachov, S. Kharchev, S. Khoroshkin, “Baxter $Q$-operators in Ruijsenaars–Sutherland hyperbolic systems: one- and two-particle cases”, Zap. Nauchn. Sem. POMI, 520 (2023),  50–123  mathnet
2022
2. S. E. Derkachov, G. A. Sarkissian, V. P. Spiridonov, “Elliptic hypergeometric function and $6j$-symbols for the $SL(2,\pmb{\mathbb C})$ group”, TMF, 213:1 (2022),  108–128  mathnet  mathscinet; Theoret. and Math. Phys., 213:1 (2022), 1406–1422  scopus 3
2021
3. Sergey É. Derkachov, Karol K. Kozlowski, Alexander N. Manashov, “Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains”, SIGMA, 17 (2021), 063, 26 pp.  mathnet  isi  scopus 2
4. S. E. Derkachev, A. V. Ivanov, “Racah coefficients for the group $\mathrm{SL}(2,\mathbb{R})$”, Zap. Nauchn. Sem. POMI, 509 (2021),  99–112  mathnet 1
2020
5. Sergey È. Derkachov, Alexander N. Manashov, “On Complex Gamma-Function Integrals”, SIGMA, 16 (2020), 003, 20 pp.  mathnet  isi  scopus 13
6. S. E. Derkachev, A. V. Ivanov, L. A. Shumilov, “Mellin–Barnes transformation for two-loop master-diagrams”, Zap. Nauchn. Sem. POMI, 494 (2020),  144–167  mathnet
7. N. M. Belousov, S. E. Derkachev, “Regular representation of the group $\mathrm{GL}(N,\mathbb{R})$: factorization, Casimir operators and Toda chain”, Zap. Nauchn. Sem. POMI, 494 (2020),  23–47  mathnet
2019
8. S. È. Derkachev, V. P. Spiridonov, “The $6j$-symbols for the $SL(2,\mathbb C)$ group”, TMF, 198:1 (2019),  32–53  mathnet  mathscinet  elib; Theoret. and Math. Phys., 198:1 (2019), 29–47  isi  scopus 16
9. N. M. Belousov, S. È. Derkachev, “Completeness of the $3j$-symbols for $SL(2,\mathbb C)$ group”, Zap. Nauchn. Sem. POMI, 487 (2019),  40–52  mathnet
2018
10. Sergey É. Derkachov, Alexander N. Manashov, Pavel A. Valinevich, “$\mathrm{SL}(2,\mathbb{C})$ Gustafson Integrals”, SIGMA, 14 (2018), 030, 16 pp.  mathnet  isi  scopus 10
11. S. E. Derkachov, P. A. Valinevich, “Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator”, Zap. Nauchn. Sem. POMI, 473 (2018),  110–146  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 658–682  scopus 8
12. N. M. Belousov, S. E. Derkachov, “$Q$-operator for the quantum NLS model”, Zap. Nauchn. Sem. POMI, 473 (2018),  34–65  mathnet; J. Math. Sci. (N. Y.), 242:5 (2019), 608–627  scopus 2
2017
13. S. È. Derkachev, A. V. Ivanov, L. D. Faddeev, “Renormalization scenario for the quantum Yang–Mills theory in four-dimensional space–time”, TMF, 192:2 (2017),  227–234  mathnet  mathscinet  elib; Theoret. and Math. Phys., 192:2 (2017), 1134–1140  isi  scopus 10
14. S. È. Derkachev, L. D. Faddeev, “Remark on the reflection coefficient in the Liouville model”, TMF, 192:2 (2017),  221–226  mathnet  mathscinet  elib; Theoret. and Math. Phys., 192:2 (2017), 1129–1133  isi  scopus
15. P. A. Valinevich, S. E. Derkachov, A. P. Isaev, A. V. Komisarchuk, “Orthogonal polynomials, $6j$-symbols and statistical weights of SOS models”, Zap. Nauchn. Sem. POMI, 465 (2017),  105–134  mathnet; J. Math. Sci. (N. Y.), 238:6 (2019), 834–853 1
16. P. A. Valinevich, S. E. Derkachov, A. P. Isaev, “SOS-representation for the $SL(2,\mathbb C)$-invariant $R$-operator and Feynman diagrams”, Zap. Nauchn. Sem. POMI, 465 (2017),  82–104  mathnet; J. Math. Sci. (N. Y.), 238:6 (2019), 819–833 1
2016
17. Dmitry Chicherin, Sergey E. Derkachov, Vyacheslav P. Spiridonov, “From Principal Series to Finite-Dimensional Solutions of the Yang–Baxter Equation”, SIGMA, 12 (2016), 028, 34 pp.  mathnet  isi  scopus 8
18. P. A. Valinevich, S. È. Derkachev, P. P. Kulish, E. M. Uvarov, “Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an $SL(n,\mathbb C)$-invariant spin chain”, TMF, 189:2 (2016),  149–175  mathnet  mathscinet  elib; Theoret. and Math. Phys., 189:2 (2016), 1529–1553  isi  scopus 8
2015
19. S. È. Derkachev, V. P. Spiridonov, “Finite-dimensional representations of the elliptic modular double”, TMF, 183:2 (2015),  177–201  mathnet  mathscinet  elib; Theoret. and Math. Phys., 183:2 (2015), 597–618  isi  scopus 6
20. S. E. Derkachov, D. I. Chicherin, “Matrix factorization for solutions of the Yang–Baxter equation”, Zap. Nauchn. Sem. POMI, 433 (2015),  156–185  mathnet  mathscinet; J. Math. Sci. (N. Y.), 213:5 (2016), 723–742  scopus 4
2013
21. S. È. Derkachev, V. P. Spiridonov, “Yang–Baxter equation, parameter permutations, and the elliptic beta integral”, Uspekhi Mat. Nauk, 68:6(414) (2013),  59–106  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:6 (2013), 1027–1072  isi  elib  scopus 28
2011
22. S. È. Derkachev, “The $R$-matrix factorization, $Q$-operator, and variable separation in the case of the $XXX$ spin chain with the $SL(2,\mathbb{C})$ symmetry group”, TMF, 169:2 (2011),  204–217  mathnet  mathscinet; Theoret. and Math. Phys., 169:2 (2011), 1539–1550  isi  scopus 4
2010
23. M. V. Babich, S. E. Derkachov, “On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case”, Algebra i Analiz, 22:3 (2010),  16–31  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:3 (2011), 347–357  isi  scopus 11
24. S. E. Derkachev, D. I. Chicherin, “Green function in the quantum Coulomb problem”, Zap. Nauchn. Sem. POMI, 374 (2010),  170–196  mathnet; J. Math. Sci. (N. Y.), 168:6 (2010), 856–870  scopus
25. S. E. Derkachov, A. N. Manashov, “On the spectrum of anomalous dimensions of composite operators in the scalar field theory”, Zap. Nauchn. Sem. POMI, 374 (2010),  136–169  mathnet; J. Math. Sci. (N. Y.), 168:6 (2010), 837–855  scopus 5
2009
26. S. E. Derkachev, A. N. Manashov, “General solution of the Yung–Baxter equation with symmetry group $\mathrm{SL}(\mathrm n,\mathbb C)$”, Algebra i Analiz, 21:4 (2009),  1–94  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:4 (2010), 513–577  isi  scopus 28
2007
27. S. È. Derkachev, “Factorization of the R-matrix and Baxter's Q-operator”, Zap. Nauchn. Sem. POMI, 347 (2007),  144–166  mathnet  mathscinet; J. Math. Sci. (N. Y.), 151:2 (2008), 2880–2893  scopus 15
28. P. A. Valinevich, S. È. Derkachev, D. R. Karakhanyan, R. Kirshner, “Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$”, Zap. Nauchn. Sem. POMI, 347 (2007),  88–106  mathnet  mathscinet  elib; J. Math. Sci. (N. Y.), 151:2 (2008), 2848–2858  scopus 1
2006
29. Sergey É Derkachov, Alexander N. Manashov, “$\mathcal R$-Matrix and Baxter $\mathcal Q$-Operators for the Noncompact $\mathrm{SL}(N,\mathbb C)$ Invariant Spin Chain”, SIGMA, 2 (2006), 084, 20 pp.  mathnet  mathscinet  zmath  isi  scopus 38
30. S. È. Derkachev, “Factorization of the R-matrix. II”, Zap. Nauchn. Sem. POMI, 335 (2006),  164–187  mathnet  mathscinet; J. Math. Sci. (N. Y.), 143:1 (2007), 2791–2805  scopus 6
31. S. È. Derkachev, “Factorization of the $\mathrm{R}$-matrix. I”, Zap. Nauchn. Sem. POMI, 335 (2006),  134–163  mathnet  mathscinet; J. Math. Sci. (N. Y.), 143:1 (2007), 2773–2790  scopus 24
1998
32. S. È. Derkachev, A. N. Manashov, “Critical dimensions of composite operators in the nonlinear $\sigma$-model”, TMF, 116:3 (1998),  379–400  mathnet  mathscinet; Theoret. and Math. Phys., 116:3 (1998), 1034–1049  isi 10
1996
33. A. N. Vasil'ev, M. I. Vyazovskii, S. È. Derkachev, N. A. Kivel', “Three loops calculation of the field anomalous dimension in the full four-fermion $U_N$-symmetrical model”, TMF, 107:3 (1996),  359–371  mathnet  zmath; Theoret. and Math. Phys., 107:3 (1996), 710–719  isi 25
34. A. N. Vasil'ev, M. I. Vyazovskii, S. È. Derkachev, N. A. Kivel', “On equivalence of renormalizations for standard and dimensional regularizations of $2D$ four-fermion interactions”, TMF, 107:1 (1996),  27–46  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 107:1 (1996), 441–455  isi 36
1995
35. A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', “A technique for calculating the $\gamma$-matrix structures of the diagrams of a total four-fermion interaction with infinite number of vertices $d=2+\epsilon$ dimensional regularization”, TMF, 103:2 (1995),  179–191  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 103:2 (1995), 487–495  isi 30
1993
36. A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', A. S. Stepanenko, “The $1/n$ expansion in the Gross–Neveu model: Conformal bootstrap calculation of the index $\eta$ in order $1/n^3$”, TMF, 94:2 (1993),  179–192  mathnet; Theoret. and Math. Phys., 94:2 (1993), 127–136  isi 79
1992
37. A. N. Vasil'ev, S. È. Derkachev, N. A. Kivel', A. S. Stepanenko, “Proof of conformal invariance in the critical regime for models of Gross–Neveu type”, TMF, 92:3 (1992),  486–497  mathnet  mathscinet; Theoret. and Math. Phys., 92:3 (1992), 1047–1054  isi 12

Presentations in Math-Net.Ru
1. Calculation of multiloop Feynman diagrams and diagonalization of commuting operators
S. È. Derkachov
Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev
May 29, 2024 12:00   
2. Conformal triangles and zig-zag diagrams
S. È. Derkachov, A. P. Isaev
Academician Andrei A. Slavnov memorial conference
December 21, 2022 12:30   
3. Conformal Triangles and Zig-Zag Diagrams
S. È. Derkachov
International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov
June 1, 2022 12:00   
4. Calculation of Racah's coefficients for principal series unitary representations of the group SL(2,C) (continued)
S. È. Derkachev
St. Petersburg Seminar on Representation Theory and Dynamical Systems
April 10, 2019 17:00
5. Calculation of Racah's coefficients for principal series unitary representations of the group SL(2,C)
S. È. Derkachev
St. Petersburg Seminar on Representation Theory and Dynamical Systems
March 20, 2019 17:00
6. Факторизация $R$-матрицы и $Q$-оператор
S. È. Derkachov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
July 13, 2011 14:00

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