Russian Academy of Sciences

Landau Institute for Theoretical Physics

Alexander A. Migdal

Doctor of science

Publications

    1. G. Falkovich, I. Kolokolov, V. Lebedev, A. Migdal, Instantons and intermittency, Phys. Rev. E 54 (5), 4896-4907 (1996); chao-dyn/9512006, WoS: A1996VU53700060.
    2. A.A. Migdal, Second quantization of the Wilson loop, In: The Gelfand Mathematical Seminars, 1993-1995. Ed. by Gelfand, I. M. et al. Papers from the seminars, held at Rutgers University, New Brunswick, New Jersey, USA and at IHES, Bures-sur-Yvette, France. Boston, MA: Birkhäuser. p.179-224 (1996). ISBN 0-8176-3816-4.
    3. A.A. Migdal, Turbulence as statistics of vortex cells, In: The first Landau Institute summer school, Moscow, Russia, July 4-25, 1993. Selected proceedings. Ed. by V.P. Mineev, London: Gordon and Breach Publishers, Lecture 5, 177-204 (1995). ISBN 2-88449-138-4.
    4. D.J. Gross, A.A. Migdal, Nonperturbative solution of the Ising model on a random surface, Phys. Rev. Lett. 64(7), 717-720 (1990).
    5. M.E. Agishtein, A.A. Migdal, Variational Solution of the Loop Equation in QCD, Mod. Phys. Lett. A 3(15), 1521-1526 (1988).
    6. V.A. Kazakov, A.A. Migdal, Recent progress in the theory of noncritical strings, Nucl. Phys. B 311 (1), 171-190 (1988).
    7. V.A. Kazakov, T.A. Kozhamkulov, A.A. Migdal, Gauge-invariant master field in U(∞) LGT: A pathway from the strong to weak coupling phases, Nucl. Phys. B 285, 760-774 (1987).
    8. V.V. Zmushko, A.A. Migdal, Monte Carlo Simulation of Triangulated Random Surfaces in Grand Canonical Ensemble (in Russian), Yadernaya fizika, 45(5), 1498-1503 (1987) [V.V. Zmushko, A.A. Migdal, Generation of triangulated random surfaces by the Monte-Carlo method in the grand canonical ensemble, Sov. J. Nucl. Phys., 45 (5), 929-932 (1987)].
    9. R.Zh. Sagdeev, A.A. Migdal, Ispol’zovanie EVM v kvantovoi teorii polya, AN SSSR, Nauch. sovet po kompleksnoi probleme "Kibernetika", 1987, 153 s. (Voprosy kibernetiki).
    10. D.V. Boulatov, V.A. Kazakov, A.A. Migdal, I.K. Kostov, Fluctuations of the Intrinsic Geometry and the Mean Size of Triangulated Random Surfaces. 1. Analytical Study, Bulg. J. Phys., 13(4), 304-313 (1986).
    11. D.V. Boulatov, V.A. Kazakov, A.A. Migdal, I.K. Kostov, Fluctuations of the Intrinsic Geometry and the Mean Size of Triangulated Random Surfaces. 2. Monte Carlo Simulations, Bulg. J. Phys., 13(4), 313-317 (1986).
    12. M.E. Agishtein, A.A. Migdal, Computer Simulation of Three-Dimensional Vortex Dynamics, Mod. Phys. Lett. A 1 (3), 221-230 (1986).
    13. A.A. Migdal, Momentum loop dynamics and random surfaces in QCD, Nucl. Phys. B 265 (4), 594-614 (1986).
    14. D.V. Boulatov, V.A. Kazakov, I.K. Kostov, A.A. Migdal, Analytical and numerical study of a model of dynamically triangulated random surfaces, Nucl. Phys. B 275 (4), 641-686 (1986).
    15. D.V. Boulatov, V.A. Kazakov, A.A. Migdal, I.K. Kostov, Possible Types of Critical Behavior and the Mean Size of Dynamically Triangulated Random Surfaces, Phys. Lett. B 174 (1), 87-93 (1986).
    16. M.A. Bershadsky, A.A. Migdal, Ising Model of a Randomly Triangulated Random Surface as a Definition of Fermionic String Theory, Phys. Lett. B 174 (4), 393-398 (1986).
    17. A.A. Migdal, M.A. Bershadskii, T.A. Kozhamkulov, Uravneniya Lanzhevena v teorii polya, Izvestiya vysshikh uchebnykh zavedenii. Fizika, 29(3), 66-76 (1986) [A.A. Migdal, M.A. Bershadsky, T.A. Kozhamkulov, Langevin Equation in Field Theory, Sov. Phys. J. 29(3), 211-220 (1986)].
    18. M.A. Bershadskii, I.D. Vaisburd, A.A. Migdal, Ekvivalentnost’ modeli Izinga i modeli fermionov na rimanovoi poverkhnosti, Pis’ma v ZhETF, 43 (4), 153-155 (1986) [M.A. Bershadskii, I.D. Vaisburd, A.A. Migdal, Equivalence of the Ising model and the fermion model on a Riemann surface, JETP Lett., 43 (4), 193-196 (1986)].
    19. A.A. Migdal, Stokhasticheskoe kvantovanie teorii polya, Uspekhi fiz. nauk, 149 (1), 3-44 (1985) [A.A. Migdal, Stochastic quantization of field theory, Sov. Phys. Usp. 29(5), 389-411 (1986)].
    20. V.A. Kazakov, T.A. Kozhamkulov, A.A. Migdal, Gauge Theories And Random Surfaces. (In Russian)., Yadernaya fizika, 43(2), 471-481 (1986) [V.A. Kazakov, T.A. Kozhamkulov, A.A. Migdal, Gauge-Theories and Random Surfaces, Sov. J. Nucl. Phys., 43(2), 301-306 (1986)].
    21. M.A. Bershadskii, I.D. Vaisburd, A.A. Migdal, Functional Fourier transforms and the loop equation (in Russian), Yadernaya fizika, 43(2), 503-513 (1986) [M.A. Bershadskii, I.D. Vaisburd, A.A. Migdal, Functional Fourier transforms and the loop equation, Sov. J. Nucl. Phys., 43 (2), 319-324 (1986)].
    22. M.A. Bershadskii, I.D. Vaisburd, A.A. Migdal, The Ising model on an irregular lattice as a fermion string model (in Russian), Yadernaya fizika, 44(4), 1094-1102 (1986) [M.A. Bershadskii, I.D. Vaisburd, A.A. Migdal, The Ising model on an irregular lattice as a fermion string model, Sov. J. Nucl. Phys., 44 (4), 708-713 (1986)].
    23. V.A. Kazakov, I.K. Kostov, A.A. Migdal, Critical properties of randomly triangulated planar random surfaces, Phys. Lett. B 157 (4), 295-300 (1985).
    24. V.A. Kazakov, T.A. Kozhamkulov, A.A. Migdal, Fazovyi perekhod s beskonechnym kolichestvom parametrov poryadka v U(∞) reshetochnoi kalibrovochnoi teorii, Pis’ma v ZhETF, 41(10), 442-445 (1985) [V.A. Kazakov, T.A. Kozhamkulov, A.A. Migdal, Phase transition with an infinite number of order parameters in the U(∞) lattice gauge theory, JETP Lett., 41(10), 543-547 (1985)].
    25. A.A. Migdal, M.I. Polikarpov, A.I. Veslov, V.P. Yurov, T.A. Kozhamkulov, A.N. Varlamova, Numerical study of Langevin equation in twisted Eguchi-Kawai model, Nucl. Phys. B 243 (2), 212-220 (1984).
    26. A.A. Migdal, M.I. Polikarpov, A.I. Veselov, V.P. Yurov, Numerical study of the Langevin equation in the twisted Eguchi-Kawai model: Distribution of the eigenvalues of the plaquette matrix, Phys. Lett. B 135 (1-3), 145-147 (1984).
    27. A.A. Migdal, Stochastic motion of quark loop, Phys. Lett. B 147 (1-3), 347-350 (1984).
    28. A.A. Migdal, Reshetochnye modeli v kvantovoi khromodinamike i rezul’taty raschetov na EVM, Uspekhi fiz. nauk, 143 (2), 321-324 (1984) [A.A. Migdal, Lattice models in quantum chromodynamics and results of computer calculations., Sov. Phys. Usp. 27(6), 455-458 (1984)].
    29. A.A. Migdal, T.A. Kozhamkulov, A Lattice Version of the Perturbation Theory in Stochastic Gauge Field. (In Russian)., Yadernaya fizika, 39(6), 1596-1605 (1984) [A.A. Migdal, T.A. Kozhamkulov, Perturbation-theory in a stochastic gauge field - a lattice version, Sov. J. Nucl. Phys., 39(6), 1012-1017 (1984)].
    30. A.A. Migdal, T.A. Kozhamkulov, Of the Perturbation Theory in a Stochastic Gauge Field. Continuous Version. (In Russian), Yadernaya fizika, 40(2), 548-553 (1984) [A.A. Migdal, T.A. Kozhamkulov, Perturbation-theory in a stochastic gauge field - the continuous version, Sov. J. Nucl. Phys., 40(2), 348-351 (1984)].
    31. A.A. Migdal, Loop equations and 1/N expansion, Physics Reports, 102 (4), 199-290 (1983).
    32. Vilyason Kennet, A.A. Migdal, Kriticheskie yavleniya: Aktual’nye problemy fiziki, M.: Znanie, 1983, 64 s (Novoe v zhizni, nauke, tekhnike; Seriya "Fizika", kn. 11).
    33. A.A. Migdal, M.A. Shifman, Dilaton effective lagrangian in gluodynamics, Phys. Lett. B 114 (6), 445-449 (1982).
    34. V.A. Kazakov, A.A. Migdal, I.K. Kostov, The baryon propagator in terms of mesonic amplitudes, Phys. Lett. B 115 (6), 491-494 (1982).
    35. V.A. Kazakov, A.A. Migdal, Weak coupling phase of the Eguchi-Kawai model, Phys. Lett. B 116 (6), 423-424 (1982).
    36. A.A. Migdal, Reduction of asymptotically free QCD at large N to the random matrix model, Phys. Lett. B 116 (6), 425-428 (1982).
    37. V.A. Kazakov, A.A. Migdal, Reduced QCD in Veneziano limit: Meson and baryon amplitudes, Phys. Lett. B 119 (4-6), 435-438 (1982).
    38. A.A. Migdal, Loops And Strings In QCD, Preprint EFI-584-71-82-YEREVAN, Jul 1982. 30pp.
    39. A.A. Migdal, Loop Kinematics, Preprint EFI-585-72-82-YEREVAN, Jul 1982. 33pp.
    40. A.A. Migdal, Loop Equations, Preprint EFI-586-73-82-YEREVAN, Jul 1982. 36pp.
    41. Yu.M. Makeenko, A.A. Migdal, Quantum chromodynamics as dynamics of loops, Nucl. Phys. B 188 (2), 269-316 (1981), WoS: A1981MK93700005.
    42. A.A. Migdal, QCD=Fermi string theory, Nucl. Phys. B 189 (2), 253-294 (1981).
    43. V.A. Kazakov, A.A. Migdal, Baryons as solitons in loop space, Phys. Lett. B 103 (3), 214-218 (1981).
    44. V.A. Kazakov, A.A. Migdal, Barion kak soliton v prostranstve petel’, Pis’ma v ZhETF, 33(12), 661-664 (1981) [V.A. Kazakov, A.A. Migdal, Baryon considered as a soliton in loop space, JETP Lett., 33(12), 647-650 (1981)].
    45. Yu.M. Makeenko, A.A. Migdal, Loop dynamics: asymptotic freedom and quark confinement (in Russian), Yadernaya fizika, 33(6), 1639 (1981) [Yu.M. Makeenko, A.A. Migdal, Loop dynamics: asymptotic freedom and quark confinement, Sov. J. Nucl. Phys., 33 (6), 882-893 (1981)].
    46. A.A. Migdal, Loop Dynamics, In: Lisbon 1981, Proceedings, High Energy Physics, 581-600 (1981).
    47. A.A. Migdal, Properties of the loop average in QCD, Annals of Physics, 126 (2), 279-290 (1980).
    48. A.A. Migdal, Exact equivalence of multicolour QCD to the fermi string theory, Phys. Lett. B 96 (3-4), 333-336 (1980).
    49. Yu.M. Makeenko, A.A. Migdal, Self-consistent area law in QCD, Phys. Lett. B 97 (2), 253-256 (1980).
    50. Yu.M. Makeenko, A.A. Migdal, Quantum chromodynamics as a dynamics of loops, Yadernaya fizika, 32(3), 838-854 (1980) [Yu.M. Makeenko, A.A. Migdal, Quantum chromodynamics as a dynamics of loops, Sov. J. Nucl. Phys., 32 (3), 431-439 (1980)].
    51. A.A. Migdal, Collective excitations of gluons, Phys. Lett. B 80 (3), 275-278 (1979); Erratum - ibid., B89,437(1980).
    52. A.A. Migdal, Effective low energy Lagrangian for QCD, Phys. Lett. B 81 (1), 37-40 (1979).
    53. Yu.M. Makeenko, A.A. Migdal, Exact equation for the loop average in multicolor QCD, Phys. Lett. B 88 (1-2), 135-137 (1979); Erratum — ibid., B 89, 437 (1980).
    54. A.A. Migdal, Series expansion for mesonic masses in multicolor QCD, Annals of Physics, 110 (1), 46-62 (1978).
    55. P. Kaus, A.A. Migdal, Test of the α-expansion method for extracting the hadronic spectrum in QCD: The harmonic oscillator, Annals of Physics, 115 (1), 66-77 (1978).
    56. A.A. Migdal, Multicolor QCD as a dual-resonance theory, Annals of Physics, 109 (2), 365-392 (1977).
    57. A.A. Migdal, Hadronic Spectrum in Quantum Chromodynamics. 1. Regge Trajectories of Mesons, Proc. 18th Int. Conf. on High Energy Physics, Tbilisi, USSR, Jul 15-21, 1976. Ed. by N.N. Bogolubov et al., JINR, 1977, 0T72.
    58. A. Migdal, Szimmetrikus- e a tér? (Is space symmetrical?) (in Hungarian), Fizikai Szemle (Hungary), 25(6), 205-210 (1975).
    59. A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Popravki k zakonam podobiya v teorii vzaimodeistvuyushchikh pomeronov, ZhETF, 68 (3), 817-822 (1975) [A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Corrections to scaling laws in the theory of interacting pomerons, Sov. Phys. JETP 41(3), 406-408 (1975)], WoS: A1975W052400006.
    60. A.A. Migdal, Rekursionnye uravneniya v kalibrovochnykh teoriyakh polya, ZhETF, 69 (3), 810-822 (1975) [A.A. Migdal, Recursion equations in gauge field theories, Sov. Phys. JETP 42(3), 413-418 (1975)], WoS: A1975AT03500004.
    61. A.A. Migdal, Fazovye perekhody v kalibrovochnykh i spinovykh reshetochnykh modelyakh, ZhETF, 69 (4), 1457-1465 (1975) [A.A. Migdal, Phase transitions in gauge and spin-lattice systems, Sov. Phys. JETP 42(4), 743-746 (1975)], WoS: A1975AV61100037.
    62. A.B. Kaidalov, A.A. Migdal, I.V. Chuvilo, Fizika vysokikh energii i elementarnykh chastits (po materialam XVII mezhdunarodnoi konferentsii po fizike vysokikh energii, London, 1-10 iyulya 1974 g.), Uspekhi fiz. nauk, 116 (2), 345-358 (1975) [A.B. Kaĭdalov, A.A. Migdal, I.V. Chuvilo, High-energy and elementary-particle physics, Sov. Phys. Usp. 18(6), 468-477 (1975)].
    63. A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Theory of interacting Pomerons, Phys. Lett. B 48 (3), 239-242 (1974), WoS: A1974S471300021, Scopus: 2-s2.0-0001027669.
    64. A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Teoriya vzaimodeistvuyushchikh polyaronov i adronnye reaktsii pri vysokoi energii, ZhETF, 67 (3), 848-848 (1974) [A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, A theory of interacting pomerons and hadronic reactions at high energies, Sov. Phys. JETP 40(3), 420-429 (1975)], WoS: A1974U321000003.
    65. A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Mnozhestvennoe rozhdenie chastits i s-kanal’naya unitarnost’ v oblasti sil’noi svyazi pomeronov, ZhETF, 67 (6), 2009-2021 (1974) [A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Multiple production of particles and s-channel unitarity in the pomeron strong-coupling region, Sov. Phys. JETP 40(6), 999-1004 (1975)], WoS: A1974V266200001.
    66. A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Teoriya vzaimodeistviya pomeronov, Pis’ma v ZhETF, 19 (4), 239-243 (1974) [A.A. Migdal, A.M. Polyakov, K.A. Ter-Martirosyan, Theory of pomeron interaction, JETP Lett., 19 (4), 147-150 (1974)], WoS: A1974T547500014.
    67. A.A. Belavin, A.A. Migdal, Vychislenie anomal’nykh razmernostei v neabelevykh kalibrovochnykh teoriyakh, Pis’ma v ZhETF, 19 (5), 317-320 (1974) [A.A. Belavin, A.A. Migdal, Calculation of anomalous dimensionalities in non-Abelian field gauge theories, JETP Lett., 19 (5), 181-182 (1974)].
    68. A.A. Migdal, Strong coupling, unitarity and inclusive reactions, Proc. 17th Int. Conference on High Energy Physics. London, UK, 19740701, p. I-140-3. Ed. by J.R. Smith, Didcot, Berks. UK; London UK: Sci. Res. Council, 1974, viii+1006 pp.
    69. A.A. Belavin, A.A. Migdal, Scale Invariance and Bootstrap in the Nonabelian Gauge Theories, Preprint ITF im. Landau, yanv. 1974, 10 s.
    70. A.A. Migdal, Composite models of conformal field theory with a nonintegral number of patrons, Phys. Lett. B 45 (3), 272-274 (1973), Scopus: 2-s2.0-49549169278.
    71. A.A. Migdal, Uravnenie sostoyaniya vblizi kriticheskoi tochki, ZhETF, 62 (4), 1559-1573 (1972) [A.A. Migdal, Equation of state near a critical point, Sov. Phys. JETP 35(4), 816-822 (1972)].
    72. G.M. Avdeeva, A.A. Migdal, Uravnenie sostoyaniya (4 - ɛ)-mernoi modeli Izinga, Pis’ma v ZhETF, 16 (4), 253-255 (1972) [G.M. Avdeeva, A.A. Migdal, Avdeeva G.M., Migdal A.A., Equation of state in (4 - ɛ)-Dimensional Ising Model, JETP Lett., 16(4), 178-179 (1972)].
    73. A.A. Migdal, On hadronic interactions at small distances, Phys. Lett. B 37 (1), 98-100 (1971), Scopus: 2-s2.0-0041449423.
    74. A.A. Migdal, Conformal invariance and bootstrap, Phys. Lett. B 37 (4), 386-388 (1971), Scopus: 2-s2.0-0042526698.
    75. A.A. Abrikosov, A.A. Migdal, On the theory of the Kondo effect, J. Low Temp. Phys., 3(5), 519-536 (1970), Scopus: 2-s2.0-0014883953.
    76. A.A. Migdal, Korrelyatsionnye funktsii v teorii fazovykh perekhodov. Narushenie zakonov podobiya, ZhETF, 59 (3), 1015-1031 (1970) [A.A. Migdal, Correlation Functions in the Theory of Phase Transitions: Violation of the Scaling Laws, Sov. Phys. JETP, 32(3), 552-560 (1971)].
    77. V.N. Gribov, E.M. Levin, A.A. Migdal, Problemy nulya zaryada i masshtabnoi invariantnosti v reshaemoi modeli teorii polya, ZhETF, 59 (6), 2140-2159 (1970) [V.N. Gribov, E.M. Levin, A.A. Migdal, Zero-Charge and Scale-invariance Problems in the Solvable Field-theory Model, Sov. Phys. JETP 32(6), 1158-1167 (1971)].
    78. V.N. Gribov, E.M. Levin, A.A. Migdal, Fermionnye polyusa Redzhe i tochki vetvleniya v j-ploskosti, Yadernaya fizika, 11(3), 673-687 (1970) [V.N. Gribov, E.M. Levin, A.A. Migdal, Fermion Regge poles and branch points in the j-plane, Sov. J. Nucl. Phys., 11(3), 378 (1970)].
    79. V.N. Gribov, E.M. Levin, A.A. Migdal, Vzaimodeistvie bozonnykh polyusov Redzhe s polyusom Pomeranchuka, Yadernaya fizika, 12(1), 173-190 (1970) [V.N. Gribov, E.M. Levin, A.A. Migdal, Interaction of boson Regge poles with the Pomeranchuk poles, Sov. J. Nucl. Phys., 12(1), 93 (1971)].
    80. V.N. Gribov, A.A. Migdal, Sil’naya svyaz’ v zadache o polyuse Pomeranchuka, ZhETF, 55 (4), 1498-1520 (1968) [V.N. Gribov, A.A. Migdal, Strong coupling in the Pomeranchuk pole problem, Sov. Phys. JETP 28(4), 784-795 (1968)].
    81. A.A. Migdal, Diagrammnaya tekhnika vblizi tochki Kyuri i fazovyi perekhod vtorogo roda v boze-zhidkosti, ZhETF, 55 (5), 1964-1979 (1968) [A.A. Migdal, A Diagram Technique near Curie Point and the Second Order Phase Transition in a Bose Liquid, Sov. Phys. JETP 28(5), 1036-1044 (1968)].
    82. V.N. Gribov, A.A. Migdal, Svoistva polyusa Pomeranchuka i svyazannykh s nim vetvlenii pri malykh peredannykh amplitudakh, Yadernaya fizika, 8(5),1002-1015 (1968) [V.N. Gribov, A.A. Migdal, Properties of Pomeranchuk pole and the branch cuts related to it at low momentum transfer, Sov. J. Nucl. Phys., 8(5), 583-590 (1969)].
    83. V.N. Gribov, A.A. Migdal, Kvazistabil’nyi polyus Pomeranchuka i difraktsionnoe rasseyanie pri sverkhvysokikh energiyakh, Yadernaya fizika, 8(6), 1213-1226 (1968) [V.N. Gribov, A.A. Migdal, Quasistable Pomeranchuk pole and diffraction scattering at ultrahigh energies, Sov. J. Nucl. Phys., 8(6), 703 (1969)].
    84. A.A. Migdal, Universal’noe vzaimodeistvie Redzhe-chastits s vektorami i skalyarnymi tokami, Pis’ma v ZhETF, 5(11), 407-409 (1967) [A.A. Migdal, Universal Interaction of Regge Particles with Vector and Scalar Currents, JETP Lett., 5(11), 332-334 (1967)].
    85. A.A. Migdal, A.M. Polyakov, Spontannoe narushenie simmetrii sil’nogo vzaimodeistviya i otsutstvie bezmassovykh chastits, ZhETF, 51(1), 135-146 (1966) [A.A. Migdal, A.M. Polyakov, Spontaneous Breakdown of Strong Interaction Symmetry and the Absence of Massless Particles, Sov. Phys. JETP 24(1), 91-98 (1967)], WoS: A19678819700018.
    86. S.A. Gurvits, A.A. Migdal, A.M. Polyakov, Granichnaya energiya fermi-gaza v potentsial’noi yame, ZhETF, 46 (1), 213-217 (1964) [S.A. Gurvits, A.A. Migdal, A.M. Polyakov, Boundary energy of a fermi gas in a potential well, Sov. Phys. JETP 19(1), 149-151 (1964)], WoS: A1964WM22500032.