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Reviews of topical problems


The confinement


Russian Federation State Scientific Center A.I. Alikhanov Institute ofTheoretical and Experimental Physics, ul. Bolshaya Cheremushkinskaya 25, Moscow, 117259, Russian Federation

Various aspects and mechanisms of QCD colour confinement are surveyed. Following the introduction of gauge-invariant order parameters, a field-correlator definition of the phenomenon is given, and a class of correlators responsible for confinement is explicitly separated. It is shown that, in terms of effective Lagrangians, confinement is a dual Meissner effect, and for its quantitative description the popular Abelian projection method is used, which is explained in detail. To determine the field configurations responsible for confinement, classical solutions are analysed using a newly-developed criterion. Finally, all aspects of confinement are illustrated by a simple example of string formation for a quark moving in a field of heavy antiquark.

Fulltext is available at IOP
PACS: 12.38.Aw
DOI: 10.1070/PU1996v039n04ABEH000140
URL: https://ufn.ru/en/articles/1996/4/a/
Citation: Simonov Yu A "The confinement" Phys. Usp. 39 313–336 (1996)
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:    «» 166 337–362 (1996); DOI: 10.3367/UFNr.0166.199604a.0337

References (85) ↓ Cited by (117) Similar articles (20)

  1. Simonov Yu A ``Models of confinement’’, in Proceedings of the XXII LINP Winter School (Leningrad: LINP, 1985)
  2. Polyakov A M Nucl. Phys. B 120 429 (1977); Polyakov A M Phys. Lett. B 59 79 (1975)
  3. ’t Hooft G, in High Energy Physics (Ed. A Zichichi, Bologna: Editrice Compositori, 1976); Mandelstam S Phys. Lett. B 53 476 (1975)
  4. ’t Hooft G Nucl. Phys. B 190 455 (1981)
  5. Dosch H G Phys. Lett. B 190 177 (1987); Dosch H G, Simonov Yu A Phys. Lett. B 205 339 (1988); Simonov Yu A Nucl. Phys. B 307 512 (1988); Simonov Yu A Yad. Fiz. 54 192 (1991)
  6. Wilson K G Phys. Rev. D 10 2445 (1974)
  7. Greensite J, Halpern M B Phys. Rev. D 27 2545 (1983)
  8. ’t Hooft G Nucl. Phys. B 72 461 (1974)
  9. Ellis R K QCD at TAS’94, Fermilab - Conf-94/410-T (Fermilab, 1994); Altarelli G, in QCD - 20 years later (Eds H A Kastrup, P Zerwas, Singapore: World Scientific, 1993)
  10. Ford I J, Dalitz R H, Hoek J Phys. Lett. B 208 286 (1988); Heller U M et al. Phys. Lett. B 335 71 (1994)
  11. Arefieva I Ya Teor. Mat. Fiz. 43 111 (1980); Simonov Yu A Yad. Fiz. 50 213 (1989)
  12. Van Kampen N G Phys. Rep. C 24 171 (1976); Physica 74 215 (1974); Simonov Yu A Yad. Fiz. 48 1381 (1988); 50 213 (1989)
  13. Di Giacomo A, Panagopoulos H Phys. Lett. B 285 133 (1992)
  14. De Grand T A, Toussaint D Phys. Rev. D 22 2478 (1980); Phys. Rev. D 24 466 (1981); Bhanot G Phys. Rev. D 24 461 (1981)
  15. Simonov Yu A Yad. Fiz. 50 213 (1989)
  16. Durand L, Mendel E Phys. Lett. B 85 241 (1979)
  17. Simonov Yu A Yad. Fiz. 50 500 (1989)
  18. Simonov Yu A Yad. Fiz. 57 1491 (1994)
  19. Del Debbio L, Di Giacomo A, Simonov Yu A Phys. Lett. B 332 111 (1994)
  20. Lee T D Particle Physics and Introduction to Field Theory (Harwood, New York, 1981) Chapter 17
  21. Alder S, Piran T Rev. Mod. Phys. 56 1 (1984)
  22. Nielsen H B, Olesen P Nucl. Phys. B 57 367 (1973); 61 45 (1973)
  23. Lifshitz E M, Pitaevski L P Statisticheskaya Fizika (Statistical Physics) Part 2 (Moscow: Nauka, 1973) Chapter 5
  24. Cea P, Cosmai L Nucl. Phys. B (Proc. Suppl.) 42 225 (1995)
  25. Matsubara Y, Ejiri S, Suzuki T Nucl. Phys. B (Proc. Suppl.) 34 176 (1994)
  26. Chernodub M N, Polikarpov M I, Veselov A I, hep-lat/9512030
  27. Polikarpov M I Usp. Fiz. Nauk 165 627 (1995) [Phys. Usp. 38 591 (1995)]
  28. Tinkham M Introduction to Superconductivity (Kreiger, USA, 1980)
  29. See Ref. [23], 26
  30. Weinberg S Progr. of Theor. Phys. Suppl. 86 43 (1986)
  31. Simonov Yu A, Molodtsov S V Pis’ma Zh. Eksp. Teor. Fiz. 60 230 (1994) [JETP Lett. 60 240 (1994)]
  32. Simonov Yu A Yad. Fiz. 58 113 (1995)
  33. Baker M, Ball J S, Zachariasen F Phys. Rev. D 37 1036 (1988)
  34. Baker M et al. Phys. Rev. D 51 1968 (1995)
  35. Kronfeld A S, Schierholz G, Wiese U-J Nucl. Phys. B 293 461 (1987)
  36. Chernodub M N, Polikarpov M I, Veselov A I Phys. Lett. B 342 303 (1995)
  37. Suzuki T Nucl. Phys. B (Proc. Suppl.) 30 176 (1993)
  38. Suzuki T et al. Phys. Lett. B 347 347 (1995); Stack D et al. Phys. Rev. D 50 3395 (1994); Ejiri S et al. Nucl. Phys. B 42 481 (1995)
  39. Suzuki T Nucl. Phys. B (Proc. Suppl., 1996, in press)
  40. Miyamura O, Origuchi S, hep-lat/9508015
  41. Ken Yee Phys. Lett. B 347 367 (1995); Suganuma H et al. hep-ph/9506366; Nucl. Phys. B (Proc. Suppl., 1996, in press)
  42. Brown D A, Haymaker R W, Singh V Phys. Lett. B 306 115 (1993)
  43. Matsubara Y, Ejiri S, Suzuki T Nucl. Phys. B (Proc. Suppl.) 34 176 (1994); Shiba H, Suzuki T Ibid., p. 182
  44. Haymaker R W Lectures at the Intern. E. Fermi School (Varenna, 1995, in press)
  45. Cea P, Cosmai L Nucl. Phys. B (Proc. Suppl., 1996, in press)
  46. Schlichter C, Bali G S, Schilling K Nucl. Phys. B (Proc. Suppl.) 42 273 (1995)
  47. Ivanenko T L, Polikarpov M I, Pochinskii A V Phys. Lett. B 252 631 (1990); Phys. Lett. B 302 458 (1993); Di Giacomo A Nucl. Phys. B (Proc. Suppl., 1996, in press)
  48. Frohlich J, Marchetti P A Commun. Math. Phys. 112 343 (1987)
  49. Polley L, Wiese U-J Nucl. Phys. B 356 629 (1991); Polikarpov M I, Polley L, Wiese U-J Phys. Lett. B 253 212 (1991)
  50. Del Debbio L, Di Giacomo A, Paffuti G Phys. Lett. B 349 513 (1995); Nucl. Phys. B (Proc. Suppl.) 42 231 (1995)
  51. Del Debbio L et al. Phys. Lett. B 355 255 (1995); Nucl. Phys. B (Proc. Suppl.) 42 234 (1995)
  52. Chernodub M N, Gubarev F V Pis’ma Zh. Eksp. Teor. Fiz. 62 91 (1995) [JETP Lett. 62 100 (1995)]
  53. Hart A, Teper M, hep-lat/9511016
  54. Bornyakov V, Schierholz G (in preparation)
  55. Callen C G, Dashen R, Gross D J Phys. Lett. B 66 375 (1977); Veselov A I, Polikarpov M I Pis’ma Zh. Eksp. Teor. Fiz. 45 113 (1987) [JETP Lett. 45 139 (1987)]
  56. Campostrini M et al. Phys. Lett. B 225 403 (1989)
  57. Jackiw R, Nohl C, Rebbi C Phys. Rev. D 15 1642 (1977)
  58. Atiyah M F et al. Phys. Lett. A 65 185 (1978)
  59. Belavin A A et al. Phys. Lett. B 59 85 (1975)
  60. Harrington B J, Shepard H K Phys. Rev. D 17 2122 (1978)
  61. Rossi P Phys. Rep. 86 317 (1982)
  62. Prasad M K, Sommerfield C M Phys. Rev. Lett. 35 760 (1975)
  63. Polyakov A M JETP Lett. 20 194 (1974); ’t Hooft G Nucl. Phys. B 79 276 (1974)
  64. ’t Hooft G Nucl. Phys. B 153 141 (1979); Commun. Math. Phys. 81 267 (1981)
  65. Leutwyler H Nucl. Phys. B 179 129 (1981)
  66. Garcia-Perez M, Gonzalez-Arroyo A, Martinez P Nucl. Phys. B (Proc. Suppl.) 34 228 (1994)
  67. Simonov Yu A Lectures at the Intern. E. Fermi School (Varenna, 1995, in press)
  68. Simonov Yu A Yad. Fiz. 50 500 (1989)
  69. Simonov Yu A Yad. Fiz. 42 557 (1985) [Sov. J. Nucl. Phys. 42 352 (1985)]; Preprint ITEP-156 (Moscow: ITEP, 1985)
  70. Olesen P Nucl. Phys. B 200 381 (1982); Ambjorn J, Olesen P, Peterson C Nucl. Phys. B 240 533 (1984); Ambjorn J, Olesen P Nucl. Phys. B 170 60 (1980); Ibid p. 265
  71. Makeenko Yu M, Polikarpov M I, Veselov A I Phys. Lett. B 118 133 (1982); Belova T I et al. Nucl. Phys. B 230 473 (1984)
  72. Simonov Yu A Yad. Fiz. 46 317 (1987)
  73. Martemyanov B I et al. Pis’ma Zh. Eksp. Teor. Fiz. 62 679 (1995) [JETP Lett. 62 695 (1995)]
  74. Berezinskii V L Zh. Eksp. Teor. Fiz. 59 907 (1970); 61 1144 (1971) [Sov. Phys. JETP 32 493 (1971); 34 610 (1972)]; Kosterlitz J M, Thouless D J J. Phys. C 6 118 (1973)
  75. Anderson P W Phys. Rev. 109 1492 (1958); Rev. Mod. Phys. 50 191 (1978)
  76. Lee P A, Ramakrishnan T V Rev. Mod. Phys. 57 287 (1985); Lifshitz I M, Gredeskul S A, Pastur L A Vvedenie v Teoriyu Neuporyadochennykh Sistem (Introduction into Theory of Disordered Systems, Moscow: Nauka, 1982)
  77. Simonov Yu A, Preprint ITEP 68-87 (Moscow: ITEP, 1987)
  78. Feynman R, Hibbs A Quantum Mechanics and Path Integrals (New York: McGraw-Hill, 1965)
  79. Karsch F, in QCD: 20 Years Later (Eds P M Zerwas, H A Kastrup, Singapore: World Scientific, 1993)
  80. Vainstein A I et al. Usp. Fiz. Nauk 136 553 (1982) [Sov. Phys. Usp. 24 195 (1982)]
  81. Simonov Yu A Pis’ma Zh. Eksp. Teor. Fiz. 55 605 (1992); [JETP Lett. 55 627 (1992)]; Yad. Fiz. 58 357 (1995); Dosch H G, Pirner H J, Simonov Yu A Phys. Lett. B 349 335 (1995); Gubankova E L, Simonov Yu A Phys. Lett. B 360 93 (1995)
  82. Kapusta J Finite Temperature Field Theory (Cambridge: Cambridge Univ. Press, 1989)
  83. Manousakis E, Polonyi J Phys. Rev. Lett. 58 847 (1987); Bali G S et al. Phys. Rev. Lett. 71 3059 (1993)
  84. Gonzalez-Arroyo A, Simonov Yu A Nucl. Phys. B 460 429 (1996); hep-th/9506032
  85. Gribov V N Physica Scripta T 15 164 (1987); Preprint LUTP 91-7 (Lund Univ., 1991)

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