Russian Academy of Sciences

Landau Institute for Theoretical Physics

Vladimir S. Dotsenko

Doctor of science

Publications

    1. Vl.S. Dotsenko, Four spins correlation function of the q states Potts model, for general values of q. Its percolation model limit q → 1, Nucl. Phys. B 953, 114973 (2020), WoS: 000518891900006, Scopus: 2-s2.0-85080121142, ADS: 2020NuPhB.95314973D, InSpire: 1765540, RINTs: 43701491, MathSciNet: 4074636, zbMath: 1479.82012.
    2. Vl.S. Dotsenko, Analytic continuations of 3-point functions of the conformal field theory, Nucl. Phys. B 907, 208-248 (2016); arXiv:1601.07840, WoS: 000376818000009, Scopus: 2-s2.0-84977630358, ADS: 2016NuPhB.907..208D, InSpire: 1418210, RINTs: 26830531, MathSciNet: 3498431, zbMath: 1336.81077.
    3. Vl.S. Dotsenko, Correlation function of four spins in the percolation model, Nucl. Phys. B 911, 712-743 (2016); arXiv:1606.09162, WoS: 000384565800031, Scopus: 2-s2.0-84989963793, ADS: 2016NuPhB.911..712D, InSpire: 1472995, RINTs: 28250569, MathSciNet: -, zbMath: 1346.82019.
    4. Vl.S. Dotsenko, Parafermionic chiral algebra Z3 with the dimension of the principal parafermion fields ψ(z), ψ+(z), Δψ=8/3, Nucl. Phys. B 863 (1), 130-212 (2012); arXiv:1202.5497, WoS: 000306028700006.
    5. Vl.S. Dotsenko, Two more solutions for the parafermionic chiral algebra Z3 with the dimension of the principal parafermionic fields ψ(z), ψ+(z), Δψ=8/3, Nucl. Phys. B 864 (1), 203-225 (2012); arXiv:1205.6854, WoS: 000307151600009.
    6. Vl.S. Dotsenko, B. Estienne, Renormalization group flows for the second ZN parafermionic field theory for N odd, Nucl. Phys. B 775(3), 341-364 (2007); hep-th/0702227, WoS: 000247993700004, Scopus: 2-s2.0-34250190641, ADS: 2007NuPhB.775..341D, InSpire: 745510, RINTs: 15161610, MathSciNet: 2333813, zbMath: 1117.82020.
    7. Vl.S. Dotsenko, B. Estienne, Renormalization group flows for the second Z5 parafermionic field theory, Phys. Lett. B 643(6), 362-365 (2006); hep-th/0610242, WoS: 000243048600010, Scopus: 2-s2.0-33751518552, ADS: 2006PhLB..643..362D, InSpire: 729733, MathSciNet: 2287956, zbMath: 1248.81197.
    8. Vl. Dotsenko, Série de Cours sur la Théorie Conforme, cel-00092929. DEA, 2006, 109 pages.
    9. Vl.S. Dotsenko, R. Santachiara, The third parafermionic chiral algebra with the symmetry Z3, Phys. Lett. B 611(1-2), 189-192 (2005); hep-th/0501128, WoS: 000228110300025, Scopus: 2-s2.0-15044365900, ADS: 2005PhLB..611..189D, InSpire: 675049, MathSciNet: 2124732, zbMath: 1247.81171.
    10. Vl.S. Dotsenko, J.L. Jacobsen, R. Santachiara, Parafermionic theory with the symmetry ZN for N even, Nucl. Phys. B 679(3), 464-494 (2004); hep-th/0310131, WoS: 000188741800004, Scopus: 2-s2.0-0347123051, ADS: 2004NuPhB.679..464D, InSpire: 630552, MathSciNet: 2033766.
    11. Vl.S. Dotsenko, J.L. Jacobsen, R. Santachiara, Conformal field theories with ZN and Lie algebra symmetries, Phys. Lett. B 584 (1-2), 186-191 (2004); hep-th/0310102, WoS: 000220156900025, Scopus: 2-s2.0-1542723363, ADS: 2004PhLB..584..186D, InSpire: 630359, RINTs: 31287179, MathSciNet: 2050434.
    12. Vl. Dotsenko, Série de Cours sur la Théorie Conforme, Preprint HAL : cel-00092929, 109 p.
    13. Vl.S. Dotsenko, J.L. Jacobsen, R. Santachiara, Parafermionic theory with the symmetry Z5, Nucl. Phys. B 656 (3), 259-324 (2003); hep-th/0212158, WoS: 000182252400001, Scopus: 2-s2.0-0037471429, ADS: 2003NuPhB.656..259D, InSpire: 604599, RINTs: 15157819, MathSciNet: 1967278, zbMath: 1011.81066.
    14. Vl.S. Dotsenko, J.L. Jacobsen, R. Santachiara, Parafermionic theory with the symmetry ZN, for N odd, Nucl. Phys. B 664 (3), 477-511 (2003); hep-th/0303126, WoS: 000184500400004, Scopus: 2-s2.0-0038441796, ADS: 2003NuPhB.664..477D, InSpire: 615176, RINTs: 15157905, MathSciNet: 1992678, zbMath: 1044.81660.
    15. Vl.S. Dotsenko, J.L. Jacobsen, X.S. Nguyen, R. Santachiara, Universality of coupled Potts models, Nucl. Phys. B 631 (3), 426-446 (2002); cond-mat/0112120, WoS: 000176134100002, Scopus: 2-s2.0-0037053912, ADS: 2002NuPhB.631..426D, RINTs: 15157040, MathSciNet: 1906681, zbMath: 0995.82005.
    16. Vl.S. Dotsenko, X.S. Nguyen, R. Santachiara, Coupled Models WD3(p): Their Fixed Points, NATO Science Series II: Math. Phys. Chem., Vol. 73, 25-31 (2002) [Statistical Field Theory: Proc. NATO Advanced Research Workshop, Como, Italy, 18-23 Jun 2001. Ed. by A. Cappelli, G. Mussardo. Kluwer, 2002, x+349 pp]; hep-th/0110210, ADS: 2001hep.th...10210D, InSpire: 564785, MathSciNet: 2010987.
    17. Vl.S. Dotsenko, X.S. Nguyen, R. Santachiara, Models WDn in the presence of disorder and the coupled models, Nucl. Phys. B 613 (3), 445-471 (2001); hep-th/0104197, WoS: 000171717500002, Scopus: 2-s2.0-0042370409, ADS: 2001NuPhB.613..445D, InSpire: 555762, RINTs: 15156607, MathSciNet: 1859387.
    18. Vl.S. Dotsenko, X.S. Nguyen, R. Santachiara, Classification of conformal field theories based on Coulomb gases. Application to loop models, Nucl. Phys. B 618 (3), 523-550 (2001); hep-th/0105287, WoS: 000172887900007, Scopus: 2-s2.0-18044387769, ADS: 2001NuPhB.618..523D, InSpire: 557419, RINTs: 15156458, MathSciNet: 1870449, zbMath: 0992.81070.
    19. Vl. Dotsenko, J.L. Jacobsen, M.-A. Lewis, M. Picco, Coupled Potts models: Self-duality and fixed point structure, Nucl. Phys. B 546 (3), 505-557 (1999); cond-mat/9812227, WoS: 000080276600001, Scopus: 2-s2.0-0033519125, ADS: 1999NuPhB.546..505D, InSpire: 1462580, RINTs: 14022264.
    20. V.S. Dotsenko, Vl.S. Dotsenko, M. Picco, Random bond Potts model: The test of the replica symmetry breaking, Nucl. Phys. B 520 (3), 633-674 (1998); hep-th/9709136, WoS: 000074285600003, Scopus: 2-s2.0-0032496533, ADS: 1998NuPhB.520..633D, InSpire: 448581, RINTs: 13305047, MathSciNet: 1630188, zbMath: 0947.82007.
    21. Vl.S. Dotsenko, Critical Behavior and Associated Conformal Algebra on the Z3 Potts Model, In: Conformal invariance and applications to statistical mechanics, Ed. by C. Itzykson et al., 179-199 (1998). World Scientific, 994 pp. ISBN: 978-9971-5-0605-6.
    22. Vl.S. Dotsenko, V.A. Fateev, Conformal Algebra and Multipoint Correlation Functions in 2D Statistical Models, In: Conformal invariance and applications to statistical mechanics, Ed. by C. Itzykson et al., 214-250 (1998). World Scientific, 994 pp. ISBN: 978-9971-5-0605-6.
    23. Vl. Dotsenko, M. Picco, P. Pujol, Correlation functions for the 2D random bonds Potts models, Nucl. Phys. B Proc. Suppl., 45(1), 145-153 (1996); cond-mat/9509149, WoS: A1996TT81700016, Scopus: 2-s2.0-17644442393, ADS: 1996NuPhS..45..145D, InSpire: 399905.
    24. Vl. Dotsenko, M. Picco, P. Pujol, Randomly coupled minimal models, Phys. Lett. B 383 (3), 287-293 (1996); hep-th/9512087, WoS: A1996VE18700008, Scopus: 2-s2.0-0007029155, ADS: 1996PhLB..383..287D, InSpire: 403524.
    25. Vik.S. Dotsenko, Vl.S. Dotsenko, M. Picco, P. Pujol, Renormalization Group Solution for the Two-Dimensional Random Bond Potts Model with Broken Replica Symmetry, Europhys. Lett., 32 (5), 425-429 (1995); hep-th/9502134, WoS: A1995TF88800008, Scopus: 2-s2.0-84956221965, ADS: 1995EL.....32..425D, InSpire: 392971.
    26. Vl.S. Dotsenko, M. Picco, P. Windey, G. Harris, E. Martinec, E. Marinari, Self-avoiding surfaces in the 3d Ising model, Nucl. Phys. B 448 (3), 577-620 (1995); hep-th/9504076, WoS: A1995RR72400007, Scopus: 2-s2.0-0000794151, ADS: 1995NuPhB.448..577D, InSpire: 394240.
    27. Vl. Dotsenko, M. Picco, P. Pujol, Renormalisation-group calculation of correlation functions for the 2D random bond Ising and Potts models, Nucl. Phys. B 455 (3), 701-723 (1995); hep-th/9501017, WoS: A1995TG51200008, Scopus: 2-s2.0-0000004517, ADS: 1995NuPhB.455..701D, InSpire: 381999.
    28. Vl. Dotsenko, M. Picco, P. Pujol, Spin-spin critical point correlation functions for the 2D random bond Ising and Potts models, Phys. Lett. B 347 (1-2), 113-119 (1995); hep-th/9405003, WoS: A1995QM69700017, Scopus: 2-s2.0-0001526422, ADS: 1995PhLB..347..113D, InSpire: 373189, MathSciNet: 1322010.
    29. Vl.S. Dotsenko, M. Picco, P. Windey, G. Harris, E. Marinari, E. Martinec, The Phenomenology of Strings and Clusters in the 3-d Ising Model, NATO ASI Series B: Physics, Vol. 328, 99-117 (1995) [Quantum Field Theory and String Theory: Proc. Cargese Workshop on "String Theory, Conformal Models and Topological Field Theories", May 1993]; hep-th/9401129, WoS: A1995BC68V00009.
    30. Vl. Dotsenko, Conformal Field Theory, NATO ASI Series B: Physics, Vol. 350, 363-393 (1995) [Frontiers in Particle Physics: Proc. NATO Advanced Study Institute, 1-13 Aug 1994, Cargese, France. Ed. by M. Lévy, J. Iliopoulos, R. Gastmans, J.-M. Gérard. D. Reidel Publishing Company, Dordrecht-Holland, 1995, 455 pp.], WoS: A1995BE86S00013.
    31. Vl.S. Dotsenko, Remarks on the physical states and the chiral algebra of 2D gravity coupled to C≤1 matter, Int. J. Mod. Phys. B 7(20-21), 3531-3545 (1993); hep-th/9201077, WoS: A1993MB31100006, Scopus: -, ADS: 1993IJMPB...7.3531D, InSpire: 332441, MathSciNet: 1241458.
    32. A.L. Talapov, V.B. Andreichenko, V.S. Dotsenko, L.N. Shchur, First Cluster Algorithm Special Purpose Processor, Int. J. Mod. Phys. C 4(4), 787-804 (1993), WoS: A1993LU43200005, Scopus: -, ADS: 1993IJMPC...4..787T.
    33. Vl.S. Dotsenko, P. Windey, G. Harris, E. Marinari, E. Martinec, M. Picco, Critical and topological properties of cluster boundaries in the 3D Ising model, Phys. Rev. Lett. 71 (6), 811–814 (1993); hep-th/9304088, WoS: A1993LQ98700002, Scopus: 2-s2.0-0005794290.
    34. Vl.S. Dotsenko, The Operator Algebra of the Discrete State Operators in 2D-Gravity with Nonvanishing Cosmological Constant, NATO ASI Series B: Physics, Vol. 310, 69-81 (1993) [Integrable Quantum Field Theories: Proc. NATO Advanced Research Workshop on Integrable Quantum Field Theories, Como, Italy, Sep 14-19, 1992]; hep-th/9205065, WoS: A1993BZ56W00006, Scopus: -, ADS: 1992MPLA....7.2505D, InSpire: 334460.
    35. A.L. Talapov, V.B. Andreichenko, V.S. Dotsenko, L.N. Shchur, Special-Purpose Computers for the Random Ising Model, In: Landau D.P., Mon K.K., Schüttler HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IV. Springer Proceedings in Physics, vol 72, p. 79-89 (1993) [Proceedings of the Fourth Workshop, Athens, GA, USA, February 18–22, 1991].
    36. A. Talapov, Vl. Dotsenko, Critical Point Correlation Function for the 2D Random Coupling Ising Model, cond-mat/9306027, ADS: 1993cond.mat..6027T.
    37. Vl.S. Dotsenko, The operator algebra of the discrete state operators in 2D gravity with non-vanishing cosmological constant, Mod. Phys. Lett. A 7(27), 2505-2518 (1992); hep-th/9205065, WoS: A1992JP03900007, Scopus: -, ADS: 1992MPLA....7.2505D, InSpire: 334460, MathSciNet: 1180925.
    38. A.L. Talapov, L.N. Shchur, V.B. Andreichenko, Vl.S. Dotsenko, Cluster algorithm special purpose processor, Mod. Phys. Lett. B 6(18), 1111-1119 (1992), WoS: -, Scopus: -, ADS: 1996tyli.book..211T.
    39. Vl.S. Dotsenko, Remarks on the physical states and the chiral algebra of 2D gravity coupled to C ≤ 1 matter, TMF, 92(3), 357-373 (1992) [Theor. Math. Phys., 92(3), 938-951 (1992)]; hep-th/9201077, WoS: A1992LC29200001, Scopus: 2-s2.0-0542383370, ADS: 1993IJMPB...7.3531D, InSpire: 9201077, MathSciNet: 1225783.
    40. Vl.S. Dotsenko, Correlation Functions of Local Operators in 2D Gravity Coupled to Minimal Matter, NATO Advanced Study Institute, Series B: Physics, Vol. 295, 423-432 (1992) [New Symmetry Principles in Quantum Field Theory, Cargese, France, 16-27 Jul 1991. Ed. by J. Frolich, G. 't Hooft, A. Jaffe, G. Mack, P.K. Mitter, R. Stora. Plenum Press, 1992, 529 pp]; hep-th/9110030, WoS: A1992BX24V00018.
    41. V.B. Andreichenko, Vl.S. Dotsenko, L.N. Shchur, A.L. Talapov, Special-purpose Ising model random lattice processor, Int. J. Mod. Phys. C 2(3), 805-816 (1991), WoS: 000209025300008, ADS: 1991IJMPC...2..805A/.
    42. Vl.S. Dotsenko, Three-point correlation functions of the minimal conformal theories coupled to 2D gravity, Mod. Phys. Lett. A 6(39), 3601-3612 (1991), WoS: A1991GW04500005, ADS: 1991MPLA....6.3601D, MathSciNet: 1138876.
    43. Vl.S. Dotsenko, Solving the SU(2) conformal field theory using the Wakimoto free field representation, Nucl. Phys. B 358 (3), 547-570 (1991), WoS: A1991FT76100003, Scopus: 2-s2.0-0043290417, ADS: 1991NuPhB.358..547D, InSpire: 28749, RINTs: 31187498, MathSciNet: 1116068.
    44. Vl.S. Dotsenko, W. Selke, A.L. Talapov, Cluster Monte Carlo algorithms for random Ising models, Physica A 170 (2), 278-281 (1991), WoS: A1991EU53600004, Scopus: 2-s2.0-44949285917.
    45. J.-S. Wang, W. Selke, Vl.S. Dotsenko, V.B. Andreichenko, The Two-Dimensional Random Bond Ising Model at Criticality—A Monte Carlo Study, Europhys. Lett., 11 (4), 301-305 (1990), WoS: A1990CP63100002, Scopus: 2-s2.0-84956228593.
    46. Vl.S. Dotsenko, Off the critical point by perturbation (II): The Ising model spin-spin correlator in a magnetic field, Int. J. Mod. Phys. B 4 (5), 1039-1047 (1990), WoS: A1990BR17Z00016, ADS: 1990IJMPB...4.1039D, MathSciNet: 1064759.
    47. Vl.S. Dotsenko, The free field representation of the su(2) conformal field theory, Nucl. Phys. B 338 (3), 747-758 (1990), WoS: A1990DP33400007, Scopus: 2-s2.0-0001297944, ADS: 1990NuPhB.338..747D, RINTs: 30874669, MathSciNet: 1063594.
    48. V.B. Andreichenko, Vl.S. Dotsenko, W. Selke, J.-S. Wang, Monte Carlo study of the 2D Ising model with impurities, Nucl. Phys. B 344 (3), 531-556 (1990), WoS: A1990EB93800003, Scopus: 2-s2.0-0000266093, RINTs: 30808517.
    49. J.-S. Wang, W. Selke, Vl.S. Dotsenko, V.B. Andreichenko, The critical behaviour of the two-dimensional dilute Ising magnet, Physica A 164 (2), 221-239 (1990), WoS: A1990DE00700001, Scopus: 2-s2.0-4243357240.
    50. A.L. Talapov, V.B. Andreichenko, Vl.S. Dotsenko, L.N. Shchur, Spetsializirovannyi protsessor dlya izucheniya modeli Izinga na sluchainoi reshetke, Pis’ma v ZhETF, 51 (3), 161-163 (1990) [A.L. Talapov, V.B. Andreichenko, Vl.S. Dotsenko, L.N. Shchur, Dedicated processor for studying Ising model on random lattice, JETP Lett., 51 (3), 182-185 (1990)], WoS: A1990DG45700013, ADS: 1990JETPL..51..182T.
    51. Vl.S. Dotsenko, Off the critical point by perturbation: The Ising model spin-spin correlator, Nucl. Phys. B 314 (3), 687-706 (1989), WoS: A1989T636000006, Scopus: 2-s2.0-0002425238, RINTs: 30842218, MathSciNet: 984581.
    52. Vl.S. Dotsenko, Lectures on Conformal Field Theory, Adv. Stud. Pure Math. 16, 123-170 (1988) [Conformal field theory and solvable lattice models, Ed. by M. Jimbo, T. Miwa, A. Tsuchiya, Academic Press, 426 p. (1988). ISBN 0-12-385340-0], MathSciNet: 0972993.
    53. Vl.S. Dotsenko, A.M. Polyakov, Fermion representations for the 2D and 3D Ising models, Adv. Stud. Pure Math. 16, 171-203 (1988) [Conformal field theory and solvable lattice models, Ed. by M. Jimbo, T. Miwa, A. Tsuchiya, Academic Press, 426 p. (1988). ISBN 0-12-385340-0], MathSciNet: 0972994.
    54. Vl.S. Dotsenko, 3D Ising model as a free fermion string theory : An approach to the thermal critical index calculation, Nucl. Phys. B 285(FS19), 45-69 (1987), WoS: A1987H686300004, Scopus: 2-s2.0-0002869145, MathSciNet: 0891831.
    55. Vl.S. Dotsenko, V.A. Fateev, Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge C≤1, Nucl. Phys. B 251(FS13) (5-6), 691-734 (1985), WoS: A1985AGC6100003, Scopus: 2-s2.0-85010074945, RINTs: 31874459, MathSciNet: 789026.
    56. Vl.S. Dotsenko, V.A. Fateev, Operator algebra of two-dimensional conformal theories with central charge C ≤ 1, Phys. Lett. B 154 (4), 291-295 (1985), WoS: A1985AGY4400012, Scopus: 2-s2.0-4243404473, ADS: 1985PhLB..154..291D, MathSciNet: 789043.
    57. Vik.S. Dotsenko, Vl.S. Dotsenko, Critical behaviour of the Baxter model with impurity lattice bonds, J. Phys. A 17 (5), L301-L305 (1984), WoS: A1984SK18000016, Scopus: 2-s2.0-0040610090, MathSciNet: 0743174.
    58. Vl.S. Dotsenko, Critical behavior and associated conformal algebra of the Z3 Potts model, J. Stat. Phys., 34 (5-6), 781-791 (1984), WoS: A1984SV14900007, Scopus: 2-s2.0-0040893332, RINTs: 31090690.
    59. Vl.S. Dotsenko, Critical behaviour and associated conformal algebra of the Z3 Potts model, Nucl. Phys. B 235 (1), 54-74 (1984), WoS: A1984SP77300005, Scopus: 2-s2.0-0001940332.
    60. Vl.S. Dotsenko, V.A. Fateev, Conformal algebra and multipoint correlation functions in 2D statistical models, Nucl. Phys. B 240(FS12) (3), 312-348 (1984), WoS: A1984TN09100002, Scopus: 2-s2.0-0000004532, MathSciNet: 0762194.
    61. Vik.S. Dotsenko, Vl.S. Dotsenko, Critical behaviour of the phase transition in the 2D Ising Model with impurities, Adv. Physics, 32 (2), 129-172 (1983), WoS: A1983RA61700001, Scopus: 2-s2.0-84936065248, MathSciNet: 0710708.
    62. Vik.S. Dotsenko, Vl.S. Dotsenko, Critical behaviour of the 2D Ising model with impurity bonds, J. Phys. C 15 (3), 495-507 (1982), WoS: A1982NA40100015.
    63. Vik.S. Dotsenko, Vl.S. Dotsenko, Two-point correlation function of the 2D Ising model with impurity lattice bonds, J. Phys. C 15(17), L557-L563 (1982), WoS: A1982NV45500003.
    64. Vik.S. Dotsenko, Vl.S. Dotsenko, Kriticheskoe povedenie korrelyatsionnoi funktsii modeli Izinga s primesnymi svyazyami, ZhETF, 83 (2), 727-742 (1982) [Vik.S. Dotsenko, Vl.S. Dotsenko, Critical behavior of the correlation function of the Ising model with impurity bonds, Sov. Phys. JETP, 56(2), 406-414 (1982)], WoS: A1982PH43400026.
    65. Vik.C. Dotsenko, Vl.S. Dotsenko, Fazovyi perekhod v 2D modeli Izinga s primesnymi svyazyami, Pis’ma v ZhETF, 33 (1), 40-44 (1981) [Vik.S. Dotsenko, Vl.S. Dotsenko, Phase transition in the 2D Ising model with impurity bonds, JETP Lett., 33 (1), 37-40 (1981)], WoS: A1981MD41000012.
    66. V.S. Dotsenko, S.N. Vergeles, Renormalizability of phase factors in non-abelian gauge theory, Nucl. Phys. B 169 (5-6), 527-546 (1980), WoS: A1980KD06100012, Scopus: 2-s2.0-33645918264, ADS: 1980NuPhB.169..527D, InSpire: 144525, RINTs: 31397211, MathSciNet: 581452.
    67. V.S. Dotsenko, Dual’nye preobrazovaniya dlya diskretnykh abelevykh modelei. Prostoi primer dual’nogo preobrazovaniya dlya neabelevoi modeli, ZhETF, 75 (3), 1083-1101 (1978) [V.S. Dotsenko, Duality transformations for discrete Abelian models. Simple example of duality transformation for non-Abelian model, Sov. Phys. JETP 48(3), 546-555 (1978)], WoS: A1978FS35100030.