| |
|
|
Department of Theoretical Physics
| Seminars
History of the Department |
Research Fields |
Publications |
|
|
|
| Staff
|
Slavnov Andrei Alekseevich
 
Doctor Phys.-Math. Sci., Professor, Academician, Head of Department
office: 403; tel.: +7 (495) 984 81 46, +7 (495) 984 81 41 * 37 91; e-mail: slavnov@mi.ras.ru
|
|
Aref'eva Irina Yaroslavna
Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 418; tel.: +7 (499) 135 13 70, +7 (495) 984 81 41 * 36 72; e-mail: arefeva@mi.ras.ru
Personal page: http://www.mi.ras.ru/~arefeva
|
|
Bykov Dmitrii Vladimirovich
Candidate Phys.-Math. Sci., Scientific Researcher
office: 404; tel.: +7 (495) 984 81 41 * 37 91; e-mail: dbykov@mi.ras.ru
Personal page: http://www.mi.ras.ru/~dbykov
|
|
Chekhov Leonid Olegovich
Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 402; tel.: +7 (495) 984 81 41 * 39 73; e-mail: chekhov@mi.ras.ru
|
|
Gorbachev Roman Viktorovich
Candidate Phys.-Math. Sci., Scientific Researcher
office: 404; tel.: +7 (499) 135 13 70, +7 (495) 984 81 46 * 35 25; e-mail: rgorbachev@mi.ras.ru
|
|
Pavlov Vladimir Petrovich
Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 402; tel.: +7 (495) 984 81 41 * 39 73; e-mail: pavlov@mi.ras.ru
|
|
Pogrebkov Andrei Konstantinovich
Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 419; tel.: +7 (495) 984 81 41 * 37 92; e-mail: pogreb@mi.ras.ru
|
|
Slavnov Nikita Andreevich
Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 402; tel.: +7 (495) 984 81 41 * 39 73; e-mail: nslavnov@mi.ras.ru
|
|
Zinoviev Yurii Mikhailovich
Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 419; tel.: +7 (495) 984 81 41 * 37 92; e-mail: zinoviev@mi.ras.ru
Principal fields of research:
Distributions. Representation theory. Statistical physics.
|
 |
|
 Top |
|
Seminars
|
| Top |
History of the Department
The Department of Theoretical Physics was organized at the Steklov Mathematical
Institute in 1947, with N. N. Bogolyubov as the Head of Department.
N. N. Bogolyubov invited to the Department many of his students
and colleagues and in 1992, after more then forty years, there
were already three Departments based on the Department of Theoretical
Physics, namely, the Departments of Mathematical Physics, of Statistical
Mechanics, and of Quantum Field Theory. The Department of Quantum Field
Theory was organized in 1969, and until 1992 the Head of the Department
was M. K. Polivanov. Since 1992, the Head of the Department is
A. A. Slavnov.
In 2002, the Department of Quantum Field Theory was
reorganized as the Department of Theoretical Physics.
From the beginning, the main research area in the Department is the development
of quantum field theory, especially its mathematical tools. The researchers
working in the Department made a fundamental contribution to the
development of quantum field theory and putting this theory into shape of the
consistent theory with its own specific methods. The works of
N. N. Bogolyubov and his school are of the utmost importance for this, namely,
the works on renormalization theory, on renormalization group, on
axiomatic S-matrix theory, and on the theory of dispersion relations.
The corresponding results were summed up in the following monographs:
- N. N. Bogolyubov and D. V. Shirkov,
- Theory of Quantized Fields, Moscow, Gosud. Izdat. Tekhn.-Teor. Lit, 1957, 442 p.
- N. N. Bogolyubov, B. V. Medvedev, and M. K. Polivanov,
- Problems of the Theory of Dispersion Relations,
Moscow, Fiz. Mat. Giz., 1958, 203 p. (Current Problems in Mathematics).
- N. N. Bogolyubov, A. A. Logunov, I. T. Todorov, and A. I. Oksak,
- Axiomatic Approach in Quantum Field Theory, Moscow, Nauka, 1969, 424 p.
- O. I. Zavialov,
- Renormalized Feynman Diagrams, Moscow, Nauka, 1979, 317 p.
Starting from the 1960s, the main progress in quantum field theory is associated with the
development of gauge field theory. The gauge field theory gives an opportunity to describe
all the known types of particle interactions from a unified geometrical point of view.
Based on gauge field theory, the consistent theory of strong, weak
and electro-weak interactions was constructed, which is known as Standard Model.
At present, the most active researches are connected with constructing the unified
theory that incorporate all types of interactions, including gravitation, and be based on models
of relativistic strings which generalize gauge field theory to lengthy systems.
Pioneering investigations in quantum theory of gauge fields were
carried out in the Department. Based on relations between Green functions, A. A. Slavnov
constructed gauge invariant renormalization procedure known as
`Slavnov–Taylor identities'.
The first comprehensive exposition of the quantum gauge field theory was given in the monograph
- A. A. Slavnov and L. D. Faddeev,
- Introduction to Quantum Theory of Gauge Fields, Moscow, Nauka, 1978, 239 p.
Futher development of quantum field theory as whole is associated both
with the perfection and profound study of methods of perturbation theory
and with developing new methods which are not based on the perturbation
expansions in terms of low coupling constant. Among these methods are
lattice gauge theory, expansions in terms of number of colours in quantum
chromodynamics, theory of completely integrable systems, and models of
relativistic strings. The researchers working in the Department participate
actively in these studies. Actual problems of quantum filed theory are discussed
at the weekly working seminar of the Department. The members of the Department
lecture at Moscow State University and Moscow Independent University, as well as are
at the head of the students and the post graduate students works. |
| Top |
Research Fields
The main directions of scientific activity of the Department are as follows:
quantum field theory, gauge fields, superstrings and branes, general theory of
systems with constraints, non-perturbative methods, lattice models, completely
integrable systems, conformally invariant theories, and matrix models.
The following topics are under active investigations:
- Problems of renormalization theory (A. A. Slavnov,
I. Ya. Aref'eva, O. I. Zav'yalov).
- Theories of superstrings and D-branes, duality between gauge theories and superstring models
(I. Ya. Aref'eva, G. Ed. Arutyunov, S. A. Frolov).
- Theory of systems with constraints (A. A. Slavnov, V. P. Pavlov).
- Completely integrable classical and quantum systems
(A. K. Pogrebkov, N. A. Slavnov, L. O. Chekhov).
- Lattice models of quantum field theory (A. A. Slavnov, Yu. M. Zinoviev).
|
Recent publications
|
|
 2013 |
| 1. |
L. Chekhov, B. Eynard, S. Ribault, “Seiberg-Witten equations and non-commutative spectral curves in Liouville theory”, J. Math. Phys., 54:2 (2013), 022306, 21 pp., arXiv: 1209.3984   |
| 2. |
J. E. Andersen, L. O. Chekhov, R. C. Penner, Ch. M. Reidys, P. Sułkowski, “Topological recursion for chord diagrams, RNA complexes, and cells in moduli spaces”, Nuclear Phys. B, 866:3 (2013), 414–443, arXiv: 1205.0658 |
| 3. |
N. A. Slavnov, “Asymptotic expansions for correlation functions of one-dimensional bosons”, Theoret. and Math. Phys., 174:1 (2013), 109–121  |
| 4. |
S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Bethe vectors of GL(3)-invariant integrable models”, Journal of Statistical Mechanics: Theory and Experiment, 2013, P02020, 25 pp., arXiv: 1210.0768 |
| 5. |
S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Form factors in $SU(3)$-invariant integrable models”, Journal of Statistical Mechanics: Theory and Experiment, 2013, P04033, 16 pp., arXiv: hep-th/1211.3968 |
|
| 2012 |
| 6. |
L. Chekhov, M. Mazzocco, “Block trangular bilinear forms and braid group action”, Tropical geometry and integrable systems, A conference on Tropical Geometry and Integrable Systems (Glasgow 3–8 July 2011), Contemp. Math., 580, eds. C. Athorne, D. Maclagan, and I. Strachan, Amer. Math. Soc., Providence, RI, 2012, 85–94  |
| 7. |
M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Extended resolvent of the heat operator with a multisoliton potential”, Theoret. and Math. Phys., 172:2 (2012), 1037–1051 |
| 8. |
M. Beccaria, B. G. Konopelchenko, G. Landolfi, L. Martina, A. K. Pogrebkov, “Solitons in $1+1$ and $2+1$ dimensions”, Theoret. and Math. Phys., 172:2 (2012), 1035–1036 |
| 9. |
V. P. Pavlov, Ocherk teoreticheskoi fiziki dlya geofizikov, IMGiG DVO RAN, IMGiG DVO RAN, Yuzhno-Sakhalinsk, 2012, 92 pp. |
| 10. |
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “Form factor approach to dynamical correlation functions in critical models”, J. Stat. Mech. Theory Exp., 2012, P09001, 33 pp., arXiv: 1206.2630 |
| 11. |
S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “Highest coefficient of scalar products in SU(3)-invariant integrable models”, J. Stat. Mech. Theory Exp., 2012, P09003, 17 pp., arXiv: 1206.4931 |
| 12. |
S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, “The algebraic Bethe ansatz for scalar products in SU(3)-invariant integrable models”, J. Stat. Mech. Theory Exp., 2012, P10017, 25 pp., arXiv: 1207.0956 |
| 13. |
S. Belliard, S. Pakuliak, E. Ragoucy, N. A. Slavnov, Form factors in SU(3)-invariant integrable models, 2012, 15 pp., arXiv: 1211.3968 |
| 14. |
D. Bykov, “Haldane limits via Lagrangian embeddings”, Nuclear Physics B, 855:1 (2012), 100–127, arXiv: 1104.1419  |
| 15. |
D. Bykov, The geometry of antiferromagnetic spin chains, 2012, 31 pp., arXiv: 1206.2777 |
| 16. |
D. Bykov, K. Zarembo, Ladders for Wilson Loops Beyond Leading Order, 2012, 18 pp., arXiv: 1206.7117 |
| 17. |
I. Ya. Aref'eva, N. V. Bulatov, R. V. Gorbachev, “Friedmann cosmology with nonpositive-definite Higgs potentials”, Theoret. and Math. Phys., 173:1 (2012), 1466–1480 |
| 18. |
I. Ya. Aref'eva, N. V. Bulatov, R. V. Gorbachev, Cyclic Universe in Model with Non-positively Defined Higgs Potential, 2012, 7 pp., arXiv: 1206.2801  |
|
| 2011 |
| 19. |
L. O. Chekhov, “Logarithmic potential $\beta$-ensembles and Feynman graphs”, Proc. Steklov Inst. Math., 272 (2011), 58–74 |
| 20. |
L. O. Chekhov, B. Eynard, O. Marchal, “Topological expansion of the $\beta$-ensemble model and quantum algebraic geometry in the sectorwise approach”, Theoret. and Math. Phys., 166:2 (2011), 141–185 |
| 21. |
L. Chekhov, M. Mazzocco, “Isomonodromic deformations and twisted Yangians arising in Teichmüller theory”, Adv. Math., 226:6 (2011), 4731–4775  |
| 22. |
L. Chekhov, M. Shapiro, Teichmüller spaces of Riemann surfaces with orbifold points of arbitrary order and cluster variables, 2011, 20 pp., arXiv: 1111.3963 |
| 23. |
M. Boiti, F. Pempinelli, A. K. Pogrebkov, “Properties of the solitonic potentials of the heat operator”, Theoret. and Math. Phys., 168:1 (2011), 865–874 |
| 24. |
N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “The thermodynamic limit of particle-hole form factors in the massless $XXZ$ Heisenberg chain”, J. Stat. Mech. Theory Exp., 2011, P05028, 34 pp. |
| 25. |
K. Kozlowski, J. M. Maillet, N. A. Slavnov, “Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas”, J. Stat. Mech. Theory Exp., 2011, P03018, 38 pp. |
| 26. |
K. Kozlowski, J. M. Maillet, N. A. Slavnov, “Correlation functions of one-dimensional bosons at low temperature”, J. Stat. Mech. Theory Exp., 2011, P03019, 25 pp. |
| 27. |
N. A. Slavnov, Introduction to the theory of quantum integrable systems. Quantum nonlinear Schrödinger equation, Lekts. Kursy NOC, 18, Steklov Math. Inst., RAS, Moscow, 2011, 120 pp. |
| 28. |
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “A form factor approach to the asymptotic behavior of correlation functions”, J. Stat. Mech. Theory Exp., 2011, P12010, 28 pp., arXiv: hep-th/1110.0803 |
| 29. |
D. V. Bykov, “Massless Excitations of Long Strings in $\mathrm{AdS}_4\times\mathbb C\mathrm P^3$”, Proc. Steklov Inst. Math., 272 (2011), 47–57 |
| 30. |
I. Ya. Aref'eva, N. V. Bulatov, R. V. Gorbachev, FRW Cosmology with Non-positively Defined Higgs Potentials, 2011, 40 pp., arXiv: 1112.5951 |
|
| 2010 |
| 31. |
V. M. Buchstaber, L. O. Chekhov, S. Yu. Dobrokhotov, S. M. Gusein-Zade, Yu. S. Ilyashenko, S. M. Natanzon, S. P. Novikov, G. I. Olshanski, A. K. Pogrebkov, O. K. Sheinman, S. B. Shlosman, M. A. Tsfasman, “Igor Krichever”, Mosc. Math. J., 10:4 (2010), 833–834 |
| 32. |
L. Chekhov, M. Mazzocco, “Shear coordinate description of the quantized versal unfolding of a $D_4$ singularity”, J. Phys. A, 43:44 (2010), 442002, 13 pp. |
| 33. |
L. Chekhov, M. Mazzocco, Poisson algebras of block-upper-triangular bilinear forms and braid group action, 2010, 22 pp., arXiv: 1012.5251 |
| 34. |
A. K. Pogrebkov, “Hirota difference equation and a commutator identity on an associative algebra”, Algebra i analiz, 22:3 (2010), 191–205 ; A. K. Pogrebkov, “Hirota difference equation and a commutator identity on an associative algebra”, St. Petersburg Math. J., 22:3 (2011), 473–483 |
| 35. |
M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “The equivalence of different approaches for generating multisoliton solutions of the KPII equation”, Theoret. and Math. Phys., 165:1 (2010), 1237–1255 |
| 36. |
B. V. Levin, V. P. Pavlov, “Prilivnye effekty i geodinamika”, Sbornik materialov IV Sakhalinskoi molodezhnoi nauchnoi shkoly, IMGiG DVO RAN, Yuzhno-Sakhalinsk, 2010, 7–11 |
| 37. |
B. V. Levin, V. P. Pavlov, “Prilivnye effekty v vyazkoi srede: postanovka zadachi”, Sbornik materialov IV Sakhalinskoi molodezhnoi nauchnoi shkoly, IMGiG DVO RAN, Yuzhno-Sakhalinsk, 2010, 12–14 |
| 38. |
N. A. Slavnov, “Integral operators with the generalized sine kernel on the real axis”, Theoret. and Math. Phys., 165:1 (2010), 1262–1274 |
| 39. |
D. V. Bykov, “Symmetry algebra of the AdS$_4{\times}\mathbb{CP}^3$ superstring”, Theoret. and Math. Phys., 163:1 (2010), 496–510 |
| 40. |
D. Bykov, “The worldsheet low-energy limit of the $\mathrm{AdS}_4\times\mathbb{C}\mathrm{P}^3$ superstring”, Nuclear Phys. B, 838:1-2 (2010), 47–74 |
| 41. |
I. Ya. Aref'eva, R. V. Gorbachev, “Gauge equivalence of tachyon solutions in the cubic Neveu–Schwarz string field theory”, Theoret. and Math. Phys., 165:2 (2010), 1512–1516 |
| 42. |
R. V. Gorbachev, “New solution of the superstring equation of motion”, Theoret. and Math. Phys., 162:1 (2010), 90–94 |
|
| 2009 |
| 43. |
L. O. Chekhov, “Riemann Surfaces with Orbifold Points”, Proc. Steklov Inst. Math., 266 (2009), 228–250 |
| 44. |
L. O. Chekhov, “Orbifold Riemann surfaces and geodesic algebras”, J. Phys. A, 42:30 (2009), 304007, 32 pp. |
| 45. |
M. Mazzocco, L. O. Chekhov, “Orbifold Riemann surfaces: Teichmüller spaces and algebras of geodesic functions”, Russian Math. Surveys, 64:6 (2009), 1079–1130 |
| 46. |
M. Boiti, F. Pempinelli, A. K. Pogrebkov, B. Prinari, “Building an extended resolvent of the heat operator via twisting transformations”, Theoret. and Math. Phys., 159:3 (2009), 721–733 |
| 47. |
E. P. Zimin, S. V. Kislyakov, G. S. Monakhtina, V. P. Pavlov (author-status.), Members of the Russian Academy of Sciences of the Steklov Mathematical Institute. To the 75-year anniversary of MIAN, Biographical Dictionary Directory, under the general editorship of acad. V. V. Kozlov, Yanus-K, Moscow, 2009, 400 pp. |
| 48. |
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain”, J. Math. Phys., 50:9 (2009), 095209, 24 pp. |
| 49. |
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, On the thermodynamic limit of form factors in the massless XXZ Heisenberg chain, 2009, arXiv: 0903.2916 |
| 50. |
N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “Riemann-Hilbert approach to a generalized sine kernel and applications”, Comm. Math. Phys., 291:3 (2009), 691–761 |
| 51. |
N. Kitanine, K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, “Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions”, J. Stat. Mech. Theory Exp., 2009, no. 4, P04003, 66 pp. |
| 52. |
L. F. Alday, G. Arutyunov, D. Bykov, “Spinning strings in $\mathrm{AdS}_4\times\mathbb{CP}^3$ and quantum corrections”, Fortschr. Phys., 57:5-7 (2009), 472–477 |
| 53. |
I. Ya. Aref'eva, R. V. Gorbachev, M. V. Mal'tsev, P. B. Medvedev, “On Schnabl Solutions of String Field Equations”, Proc. Steklov Inst. Math., 265 (2009), 63–74 |
| 54. |
I. Ya. Aref'eva, R. V. Gorbachev, D. A. Grigor'ev, P. N. Khromov, P. B. Medvedev, “Pure gauge configurations and tachyon solutions for cubic fermionic string field theory equations of motion”, Theoret. and Math. Phys., 161:1 (2009), 1376–1384 |
| 55. |
I. Ya. Aref'eva, R. V. Gorbachev, P. B. Medvedev, “Vacuum solutions in the Neveu–Schwarz field theory of a fermionic string and the zero-curvature representation in graded spaces”, Theoret. and Math. Phys., 159:1 (2009), 526–534 |
| 56. |
I. Ya. Aref'eva, R. V. Gorbachev, P. B. Medvedev, “Tachyon solution in a cubic Neveu–Schwarz string field theory”, Theoret. and Math. Phys., 158:3 (2009), 320–332 |
| 57. |
I. Y. Aref'eva, R. V. Gorbachev, P. B. Medvedev, “Pure gauge configurations and solutions to fermionic superstring field theory equations of motion”, J. Phys. A, 42:30 (2009), 304001, 11 pp., arXiv: 0903.1273 |
| 58. |
I. Y. Aref'eva, R. V. Gorbachev, D. A. Grigoryev, P. N. Khromov, M. V. Maltsev and P. B. Medvedev, “Pure gauge configurations and tachyon solutions to string field theories equations of motion”, JHEP, 0905 (2009), 050, arXiv: 0901.4533 [hep-th] |
|
| 2008 |
| 59. |
A. K. Pogrebkov, “2D Toda chain and associated commutator identity”, Geometry, topology, and mathematical physics, Amer. Math. Soc. Transl. Ser. 2, 224, Amer. Math. Soc., Providence, RI, 2008, 261–269 |
| 60. |
A. K. Pogrebkov, “Commutator identities on associative algebras and the integrability of nonlinear evolution equations”, Theoret. and Math. Phys., 154:3 (2008), 405–417 |
| 61. |
V. P. Pavlov, V. M. Sergeev, “Thermodynamics from the differential geometry standpoint”, Theoret. and Math. Phys., 157:1 (2008), 1484–1490 |
| 62. |
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, Riemann–Hilbert approach to a generalized sine kernel and applications, 2008, arXiv: 0805.4586 |
| 63. |
N. Kitanine, K. K. Kozlowski, J. M. Maillet, N. A. Slavnov, V. Terras, Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions, 2008, arXiv: 0808.0227 |
| 64. |
N. Kitanine, K. Kozlowski, J. M. Maillet, G. Niccoli, N. A. Slavnov, V. Terras, “Correlation functions of the open $XXZ$ chain. II”, J. Stat. Mech. Theory Exp., 2008, no. 7, P07010, 33 pp. |
| 65. |
D. V. Bykov, A. A. Slavnov, “Matrix and vector models in the strong coupling limit”, Theoret. and Math. Phys., 155:2 (2008), 708–714 |
| 66. |
L. F. Alday, G. Arutyunov, D. Bykov, “Semiclassical quantization of spinning strings in $\mathrm{AdS}_4\times\mathbb{CP}^3$”, J. High Energy Phys., 2008, no. 11, 089, 21 pp. |
| 67. |
D. Bykov, S. Frolov, “Giant magnons in $TsT$-transformed $\mathrm{AdS}_5\times S^5$”, J. High Energy Phys., 2008, no. 7, 071, 18 pp. |
| 68. |
Yu. S. Osipov, V. A. Sadovnichii, D. V. Bykov, F. L. Chernous'ko, A. A. Logunov, S. Yu. Dobrokhotov, M. V. Karasev, “Fiftieth anniversary of research and teaching by Viktor Pavlovich Maslov”, Theoret. and Math. Phys., 155:2 (2008), 674–677 |
| 69. |
I. Y. Aref'eva, R. Gorbachev, P. B. Medvedev, D. V. Rychkov, “Descent relations in cubic superstring field theory”, J. High Energy Phys., 2008, no. 1, 005, 28 pp., arXiv: 0704.3688 |
|
|
View Map
Recent publications
