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Vacuum, confinement, and QCD strings in the vacuum correlator method

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

QCD vacuum properties and the structure of color fields in hadrons are reviewed using the complete set of gauge-invariant gluon field correlators. QCD confinement is produced by correlators with a certain Lorentz structure, which violate the Abelian Bianchi identities and are therefore absent in QED. These correlators are used to define an effective colorless field satisfying the Maxwell equations with a nonzero effective magnetic current. In the language of correlators and the effective field, it is shown that non-Abelian interaction of gluon gauge fields leads to quark confinement due to effective circular magnetic currents that squeeze gluon fields into a string in accordance with the ’dual Meissner effect’. Distributions of effective gluon fields in mesons, baryons, and glueballs with static sources are plotted.

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Fulltext is also available at DOI: 10.1070/PU2004v047n01ABEH001696
PACS: 11.15.−q, 12.38.Aw, 12.38.Lg (all)
DOI: 10.1070/PU2004v047n01ABEH001696
URL: https://ufn.ru/en/articles/2004/1/a/
000221476600001
2004PhyU...47....1K
Citation: Kuz’menko D S, Simonov Yu A, Shevchenko V I "Vacuum, confinement, and QCD strings in the vacuum correlator method" Phys. Usp. 47 1–15 (2004)
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Îðèãèíàë: Êóçüìåíêî Ä Ñ, Ñèìîíîâ Þ À, Øåâ÷åíêî Â È «Âàêóóì, êîíôàéíìåíò è ñòðóêòóðû ÊÕÄ â ìåòîäå âàêóóìíûõ êîððåëÿòîðîâ» ÓÔÍ 174 3–18 (2004); DOI: 10.3367/UFNr.0174.200401a.0003

References (106) ↓ Cited by (37) Similar articles (20)

  1. Slavnov A A, Faddeev L D Vvedenie v Kvantovuyu Teoriyu Kalibrovochnykh Polei (M.: Nauka, 1978)
  2. Ynduráin F J Quantum Chromodynamics: An Introduction To The Theory Of Quarks And Gluons (New York: Springer-Verlag, 1983)
  3. Shifman M A, Vainshtein A I, Zakharov V I Nucl. Phys. B 147 385 (1979); Shifman M A, Vainshtein A I, Zakharov V I Nucl. Phys. B 147 448 (1979)
  4. Simonov Yu A Usp. Fiz. Nauk 166 337 (1996); Simonov Yu A Phys. Usp. 39 313 (1996)
  5. Dosch H G Phys. Lett. B 190 177 (1987)
  6. Dosch H G, Simonov Yu A Phys. Lett. B 205 339 (1988)
  7. Simonov Yu A Nucl. Phys. B 307 512 (1988)
  8. Di Giacomo A et al. Phys. Rep. 372 319 (2002)
  9. Simonov Yu A, Tjon J A Ann. Physics 228 1 (1993)
  10. Simonov Yu A, Tjon J A Ann. Physics 300 54 (2002)
  11. Shevchenko V I, Simonov Yu A Int. J. Mod. Phys. A 18 127 (2003)
  12. Foster M, Michael C (UKQCD Collab.) Nucl. Phys. B Proc. Suppl. 63 724 (1998)
  13. Foster M, Michael C (UKQCD Collab.) Phys. Rev. D 59 094509 (1999)
  14. Simonov Yu A Nucl. Phys. B 592 350 (2001)
  15. Simonov Yu A hep-ph/9712250
  16. Shevchenko V I Phys. Lett. B 550 85 (2002)
  17. Simonov Yu A hep-ph/0211330
  18. ’t Hooft G In High Energy Physics: Proc. Of The EPS Intern. Conf., Palermo, Italy, 23 - 28 June 1975 (Intern. Physics Series, 6, Ed. A Zichichi) (Bologna: Compositori, 1976)
  19. Mandelstam S Phys. Lett. B 53 476 (1975)
  20. Di Giacomo hep-lat/0204032
  21. Di Giacomo A Nucl. Phys. A 702 73 (2002)
  22. Suzuki T et al. Nucl. Phys. B Proc. Suppl. 106 - 107 631 (2002)
  23. Chernodub M N et al. hep-lat/0103033
  24. Bornyakov V G et al. hep-lat/0210047
  25. Adler S L, Piran T Phys. Lett. B 113 405 (1982)
  26. Adler S L, Piran T Rev. Mod. Phys. 56 1 (1984)
  27. Friedberg R, Lee T D Phys. Rev. D 15 1694 (1977)
  28. Friedberg R, Lee T D Phys. Rev. D 16 1096 (1977)
  29. Agasyan N O, Voskresensky D N Phys. Lett. B 127 448 (1983)
  30. Migdal A B, Agasyan N O, Khokhlachev S B Pis’ma ZhETF 41 405 (1985)
  31. Schuh A, Pirner H-J, Wilets L Phys. Lett. B 174 10 (1986)
  32. Pirner H-J Prog. Part. Nucl. Phys. 29 33 (1992)
  33. Traxler C T, Mosel U, Biró T S Phys. Rev. C 59 1620 (1999)
  34. Martens G et al. hep-ph/0303017
  35. Makeenko Yu M, Migdal A A Yad. Fiz. 32 838 (1980)
  36. Polyakov A M Kalibrovochnye Polya i Struny (M.: ITF im. L.D. Landau, 1995)
  37. Del Debbio L, Di Giacomo A, Simonov Yu A Phys. Lett. B 332 111 (1994)
  38. Kuzmenko D S, Simonov Yu A Phys. Lett. B 494 81 (2000)
  39. Kuzmenko D S, Simonov Yu A Yad. Fiz. 64 110 (2001)
  40. Kuzmenko D S, Simonov Yu A in NPD-2002 Conf., ITEP, Moscow, Dec. 2 - 6, 2002; Kuzmenko D S, Simonov Yu A hep-ph/0302071
  41. Ichie H et al. ITEP-LAT/2002-24; Ichie H et al. ITEP-LAT/2002-24; Ichie H et al. hep-lat/0212024
  42. Bornyakov V G i dr. Usp. Fiz. Nauk 174 19 (2004); Bornyakov V G et al Phys. Usp. 42 17 (2004)
  43. Bali G S Phys. Rep. 343 1 (2001)
  44. ’t Hooft G Nucl. Phys. B 72 461 (1974)
  45. Wegner F J. Math. Phys. 12 2259 (1971)
  46. Wilson K G Phys. Rev. D 10 2445 (1974)
  47. Volterra V, Hostinský B Opérations Infinitésimales Linéaires; Applications Aux Équations Différentielles Et Fonctionnelles (Paris: Gauthiers-Villars, 1938)
  48. Halpern M B Phys. Rev. D 19 517 (1979)
  49. Bralic N E Phys. Rev. D 22 3090 (1980)
  50. Aref’eva I Ya Teor. Mat. Fiz. 43 111 (1980)
  51. Simonov Yu A Yad. Fiz. 50 213 (1989)
  52. Hirayama M, Ueno M Prog. Theor. Phys. 103 151 (2000)
  53. Van Kampen N G Phys. Rep. 24 171 (1976)
  54. Van Kampen N G Physica 74 239 (1974)
  55. Simonov Yu A In "QCD: Perturbative Or Nonperturbative?: Proc. Of The XVII Autumn School, Lisbon, Portugal, 24 Sept. - 4 Oct. 1999 (Eds L S Ferreira, P Nogueira, J I Silva-Marcos) (Singapore: World Scientific, 2000); Simonov Yu A hep-ph/9911237
  56. Eidemüller M, Jamin M Phys. Lett. B 416 415 (1998)
  57. Shevchenko V I hep-ph/9802274
  58. Shevchenko V I, Simonov Yu A Phys. Lett. B 437 131 (1998)
  59. Mandelstam S Phys. Rev. 175 1580 (1968)
  60. Simonov Yu A Phys. Lett. B 464 265 (1999)
  61. Antonov D V Yad. Fiz. 60 553 (1997)
  62. Campostrini M, Di Giacomo A, Mussardo G Z. Phys. C 25 173 (1984)
  63. Campostrini M, Di Giacomo A, Olejnik S Z. Phys. C 34 577 (1986)
  64. Campostrini M et al. Phys. Lett. B 225 403 (1989)
  65. Di Giacomo A, Panagopoulos H Phys. Lett. B 285 133 (1992)
  66. Di Giacomo A, Meggiolaro E, Panagopoulos H Nucl. Phys. B 483 371 (1997)
  67. Shevchenko V, Simonov Yu Phys. Rev. D 65 074029 (2002)
  68. Bali G S Nucl. Phys. B 83 422 (2000)
  69. Bali G S Phys. Rev. D 62 114503 (2000)
  70. Deldar S Phys. Rev. D 62 034509 (2000)
  71. Deldar S Nucl. Phys. B Proc. Suppl. 73 587 (1999)
  72. Del Debbio L et al. Phys. Rev. D 65 021501 (2002)
  73. Del Debbio L et al. JHEP 0201 009 (2002)
  74. Lucini B, Teper M Phys. Lett. B 501 128 (2001)
  75. Lucini B, Teper M Phys. Rev. D 64 105019 (2001)
  76. Ambjørn J, Olesen P, Peterson C Nucl. Phys. B 240 189 (1984); Ambjørn J, Olesen P, Peterson C Nucl. Phys. B 240 533 (1984)
  77. Simonov Yu A Pis’ma ZhETF 71 187 (2000)
  78. Shevchenko V, Simonov Yu Phys. Rev. Lett. 85 1811 (2000)
  79. Trottier H D Phys. Lett. B 357 193 (1995)
  80. Lee K Phys. Rev. D 48 2493 (1993)
  81. Antonov D V Surv. High Energ. Phys. 14 265 (2000)
  82. Antonov D JHEP 0007 055 (2000)
  83. Nachtmann O In Workshop On Nuclear Chromodynamics — Quarks And Gluons In Particles And Nuclei, Santa Barbara, Calif., USA, 12 - 23 Aug. 1985 (Eds S Brodsky, E Moniz) (Singapore: World Scientific, 1986) p. 183
  84. Simonov Yu A in Proc. of the 3rd Intern. Sakharov Conf. on Physics, Moscow, June 24 - 29, 2002 (Ed. A Semikhatov) (Moscow, 2003)
  85. Simonov Yu A, Molodtsov S V Pis’ma ZhETF 60 230 (1994)
  86. Kuz’menko D S Yad. Fiz., v pechati
  87. Simonov Yu A hep-ph/0011114
  88. Simonov Yu A hep-ph/9911237
  89. Shevchenko V I ITEP-PH-1-98
  90. Abrikosov A A Zh. Eksp. Teor. Fiz. 32 1442 (1957)
  91. Nielsen H B, Olesen P Nucl. Phys. B 61 45 (1973)
  92. Nambu Y Phys. Rev. D 10 4262 (1974)
  93. Lifshits E M, Pitaevskii L P Statisticheskaya Fizika Ch. 2 (M.: Fizmatlit, 2000)
  94. Landau L D, Lifshits E M Elektrodinamika Sploshnykh Sred (M.: Nauka, 1982)
  95. Badalian A M, Kuzmenko D S Phys. Rev. D 65 016004 (2002)
  96. Badalian A M, Kuzmenko D S in NPD-2002 Conf., Moscow, ITEP, Dec. 2 - 6, 2002; Badalian A M, Kuzmenko D S hep-ph/0302072
  97. Bali G S, Schlichter C, Schilling K Prog. Theor. Phys. Suppl. (131) 645 (1998)
  98. Kuzmenko D S, Simonov Yu A Yad. Fiz. 66 983 (2003); Kuzmenko D S, Simonov Yu A hep-ph/0202277
  99. Simonov Yu A Lecture Notes Phys. Vol. 479 (1997) p. 139
  100. Simonov Yu A Yad. Fiz. 58 113 (1995)
  101. Feynman R P Phys. Rev. 80 440 (1950); Feynman R P Phys. Rev. 84 108 (1951)
  102. Fok V A Izv. AN SSSR, Otd. Matem. Estestv. Nauk 557 (1937)
  103. Schwinger J Phys. Rev. 82 664 (1951)
  104. Kuzmenko D S Yad. Fiz., v pechati; Kuzmenko D S hep-ph/0204250
  105. Takahashi T T et al. Phys. Rev. D 65 114509 (2002)
  106. Alexandrou C, de Forcrand Ph, Jahn O hep-lat/0209062

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