Russian Academy of Sciences

Landau Institute for Theoretical Physics

Vladimir S. Dotsenko

Doctor of science

Publications

    1. Vl.S. Dotsenko, Analytic continuations of 3-point functions of the conformal field theory, Nucl. Phys. B 907, 208-248 (2016), WoS: 000376818000009.
    2. Vl.S. Dotsenko, Correlation function of four spins in the percolation model, Nucl. Phys. B 907, 712-743 (2016), WoS: 000384565800031.
    3. 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).
    4. 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).
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. V.S. Dotsenko, J.L. Jacobsen, R. Santachiara, Conformal field theories with Z(N) and Lie algebra symmetries, Phys. Lett. B 584 (1-2), 186-191 (2004).
    10. Vl. Dotsenko, Série de Cours sur la Théorie Conforme, Preprint HAL : cel-00092929, 109 p.
    11. 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.
    12. 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.
    13. 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.
    14. Vl.S. Dotsenko, X.S. Nguyen, R. Santachiara, Coupled Models WD3. Their Fixed Points, NATO Science Series II, Mathematical, Physics and Chemistry, 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. Vl. Dotsenko, M. Picco, P. Pujol, Randomly coupled minimal models, Phys. Lett. B 383 (3), 287-293 (1996); hep-th/9512087.
    23. 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.
    24. 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.
    25. 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.
    26. 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.
    27. 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.
    28. Vl.S. Dotsenko, G. Harris, E. Marinari, E. Martinec, M. Picco, P. Windey, The Phenomenology of Strings and Clusters in the 3-d Ising Model, NATO ASI Series B: Physics, Vol. 328, 99-117 (1995) [Proc. Cargese Workshop on "String Theory, Conformal Models and Topological Field Theories", May 1993]; hep-th/9401129, WoS: A1995BC68V00009.
    29. 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.
    30. 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).
    31. 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.
    32. V.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) [NATO Advanced Research Workshop on Integrable Quantum Field Theories, Como, Italy, Sep 14-19, 1992], WoS: A1993BZ56W00006.
    33. V.S. Dotsenko, The Operator Algebra of the Discrete State Operators in 2D Gravity with Non-Vanishing Cosmological Constant, String Theory, Quantum Gravity, and the Unification of the Fundamental Interactions. Ed. by M. Bianchi, F. Fucito, E. Marinari, A. Sagnotti. Singapore: World Scientific, 1993, p.193; hep-th/9205065.
    34. A. Talapov, Vl. Dotsenko, Critical Point Correlation Function for the 2D Random Coupling Ising Model, cond-mat/9306027.
    35. 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.
    36. 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).
    37. Vl.S. Dotsenko, Remarks on the physical states and the chiral algebra of 2D gravity coupled toC≤1 matter, TMF, 92(3), 357–373 (1992) [Theor. Math. Phys., 92(3), 938-951 (1992)]; hep-th/9201077.
    38. 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.
    39. 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).
    40. 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).
    41. Vl.S. Dotsenko, Solving the SU(2) conformal field theory using the Wakimoto free field representation, Nucl. Phys. B 358 (3), 547-570 (1991).
    42. Vl.S. Dotsenko, W. Selke, A.L. Talapov, Cluster Monte Carlo algorithms for random Ising models, Physica A 170 (2), 278-281 (1991).
    43. A.L. Talapov, V.B. Andreichenko, Vl.S. Dotsenko, L.N. Shchur, Special purpose computers for the random Ising model, In: Computer Simulation Studies in Condensed Matter Physics III: Proc. 3rd Workshop, Athens, GA, USA, February 12-16, 1990, Ed. by D.P. Landau, K.K. Mon, H.-B. Schüttler, Springer, 1991, 215 pp. ISBN: 3540536078 [Springer Proceedings in Physics, Vol. 53].
    44. 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).
    45. 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), 1039-104 (1990).
    46. Vl.S. Dotsenko, The free field representation of the su(2) conformal field theory, Nucl. Phys. B 338 (3), 747-758 (1990).
    47. 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).
    48. 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.
    49. 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)].
    50. Vl.S. Dotsenko, Off the critical point by perturbation: The Ising model spin-spin correlator, Nucl. Phys. B 314 (3), 687-706 (1989).
    51. V.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].
    52. 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].
    53. 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).
    54. 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.
    55. 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.
    56. Vik.S. Dotsenko, Vl.S. Dotsenko, Critical behaviour of the Baxter model with impurity lattice bonds, J. Phys. A 17 (5), L301-L305 (1984).
    57. Vl.S. Dotsenko, Critical behavior and associated conformal algebra of the Z3 Potts model, J. Stat. Phys., 34 (5-6), 781-791 (1984).
    58. Vl.S. Dotsenko, Critical behaviour and associated conformal algebra of the Z3 Potts model, Nucl. Phys. B 235 (1), 54-74 (1984), WoS: A1984SP77300005.
    59. 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.
    60. 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.
    61. Vik.S. Dotsenko, Vl.S. Dotsenko, Critical behaviour of the 2D Ising model with impurity bonds, J. Phys. C 15 (3), 495-507 (1982).
    62. 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).
    63. 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)].
    64. 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)].
    65. 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.
    66. 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)].