Issues

 / 

2002

 / 

April

  

Reviews of topical problems


Two-dimensional QCD in the Coulomb gauge

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

In the present paper we discuss various aspects of the ’t Hooft model for two-dimensional QCD in the limit of an infinite number of colors in the Coulomb gauge. The properties of mesonic excitations are addressed, with special attention paid to the pionic one. The twofold role of the pion is discussed: being a genuine q \-{q} state it is also a Goldstone boson of two-dimensional QCD. In particular, it is demonstrated explicitly how the soft-pion theorems are satisfied. It is pointed out that the Coulomb-gauge choice seems to be indispensable in studies of hadronic observables with the pions involved.

Fulltext pdf (437 KB)
Fulltext is also available at DOI: 10.1070/PU2002v045n04ABEH001070
PACS: 11.10.Kk, 11.15.Pg, 12.38.Aw (all)
DOI: 10.1070/PU2002v045n04ABEH001070
URL: https://ufn.ru/en/articles/2002/4/a/
000177340900001
Citation: Kalashnikova Yu S, Nefed’ev A V "Two-dimensional QCD in the Coulomb gauge" Phys. Usp. 45 347–368 (2002)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Îðèãèíàë: Êàëàøíèêîâà Þ Ñ, Íåôåäüåâ À Â «Äâóìåðíàÿ ÊÕÄ â êóëîíîâñêîé êàëèáðîâêå» ÓÔÍ 172 377–400 (2002); DOI: 10.3367/UFNr.0172.200204a.0377

References (40) ↓ Cited by (30) Similar articles (20)

  1. ’t Hooft G Nucl. Phys. B 75 461 (1974)
  2. Bars I, Green M B Phys. Rev. D 17 537 (1978)
  3. Callan C G (Jr), Coote N, Gross D J Phys. Rev. D 13 1649 (1976)
  4. Einhorn M B Phys. Rev. D 14 3451 (1976)
  5. Li M Phys. Rev. D 34 3888 (1986); Li M, Wilets L, Birse M C J. Phys. G 13 915 (1987)
  6. Zhitnitsky A R Yad. Fiz. 43 1553 (1986); 44 220 (1986) [Sov. J. Nucl. Phys. 43 999 (1986); 44 139 (1986)]; Phys. Rev. D 53 5821 (1996)
  7. Burkardt M Phys. Rev. D 53 933 (1996)
  8. Lenz F et al. Ann. Phys. (New York) 208 1 (1991)
  9. Blok B, Shifman M, Zhang D-X Phys. Rev. D 57 2691 (1998)
  10. Bigi I et al. Phys. Rev. D 59 054011 (1999)
  11. Hornbostel K, Brodsky S J, Pauli H-C Phys. Rev. D 41 3814 (1990)
  12. Dalley S, Klebanov I R Phys. Rev. D 47 2517 (1993)
  13. Vento V Nucl. Phys. A 689 223 (2001); nucl-th/0010014; in Proc. of the XVII European Conf. on Few-Body Problems in Physics (in press)
  14. Karsch F, in Strong and Electroweak Matter’98, Copenhagen, Denmark, 2-5 December 1998 (Eds J Ambjörn et al., Singapore: World Scientific, 1999) p. 101; hep-lat/9903031
  15. Le Yaouanc A et al. Phys. Rev. D 29 1233 (1984); Phys. Rev. D 31 137 (1985)
  16. Bicudo P J A, Ribeiro J E F T Phys. Rev. D 42 1611, 1625, 1635 (1990); Bicudo P J A Phys. Rev. C 60 035209 (1999)
  17. Simonov Yu A Yad. Fiz. 60 2252 (1997) [Phys. Atom. Nucl. 60 2069 (1997)]
  18. Witten E Nucl. Phys. B 145 110 (1978)
  19. Coleman S Commun. Math. Phys. 31 259 (1973)
  20. Kikkawa K Ann. Phys. 66 3633 (1981); Nakamura A, Odaka K Phys. Lett. B 105 392 (1981); Nucl. Phys. B 202 457 (1982); Rajeev S G Int. J. Mod. Phys. A 9 5583 (1994); Dhar A, Mandal C, Wadia S R Phys. Lett. B 329 15 (1994); Dhar A et al. Int. J. Mod. Phys. A 10 15 (1995); Cavicchi M Int. J. Mod. Phys. A 10 167 (1995); Itakura K Phys. Rev. D 54 2853 (1996)
  21. 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) [Sov. J. Nucl. Phys. 54 115 (1991)]
  22. Di Giacomo A et al., hep-ph/0007223
  23. Bicudo P J A, Nefediev A V, Ribeiro J E F T Phys. Rev. D 65 085026 (2002)
  24. Gross D J, Neveu A Phys. Rev. D 10 3235 (1974)
  25. Rembiesa P Phys. Rev. D 24 1647 (1981); Ojima I, Fukada R Prog. Theor. Phys. 57 1720 (1977)
  26. Kalashnikova Yu S, Nefediev A V, Volodin A V Yad. Fiz. 63 1710 (2000) [Phys. Atom. Nucl. 63 1623 (2000)]
  27. Bars I, Hanson A J Phys. Rev. D 13 1744 (1976); Bardeen W A et al. Phys. Rev. D 13 2364 (1976); Kalashnikova Yu S, Nefediev A V Phys. Lett. B 399 274 (1997)
  28. Kalashnikova Yu S, Nefediev A V Yad. Fiz. 62 359 (1999) [Phys. Atom. Nucl. 62 323 (1999)]
  29. Balitsky I I Nucl. Phys. B 254 166 (1985)
  30. Nefediev A V, talk given at the Third Intern. Conf. in Quark Confinement and Hadron Spectrum (Confinement III), Newport News, VA, USA, 7-12 June 1998; hep-ph/9808208
  31. Shevchenko V, Simonov Yu Phys. Rev. Lett. 85 1811 (2000)
  32. Brambilla N, Vairo A Phys. Lett. B 407 167 (1997)
  33. Kalashnikova Yu S, Nefediev A V Phys. Lett. B 414 149 (1997)
  34. Gell-Mann M, Oakes R J, Renner B Phys. Rev. 175 2195 (1968)
  35. Kalashnikova Y S, Nefediev A V Phys. Lett. B 487 371 (2000)
  36. Swanson E S, in Proc. CMU/JLab Workshop on Physics with High Energy Photons, Jefrerson Lab (1998)
  37. Ackleh E S, Barnes T, Swanson E S Phys. Rev. D 54 6811 (1996)
  38. Adler S L Phys. Rev. 139 B1638 (1965)
  39. Szczepaniak A P, Swanson E S Phys. Rev. D 55 1578 (1997); Llanes-Estrada F J, Cotanch S R Nucl. Phys. A 697 303 (2002); hep-ph/0101078
  40. Simonov Yu A, Tjon J A Phys. Rev. D 62 014501, 094511 (2000)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions