Issues

 / 

2004

 / 

April

  

Reviews of topical problems


Integrability properties of high energy dynamics in the multi-color QCD


B.P. Konstantinov St. Petersburg Institute of Nuclear Physics, Russian Academy of Sciences, Gatchina, Leningrad Region, Rusian Federation

It is shown that the interaction of reggeized gluons in the leading logarithmic approximation (LLA) of the multicolor QCD has a number of remarkable mathematical properties, including its conformal invariance, holomorphic factorization, and duality symmetry. The Reggeon Hamiltonian coincides with the Hamiltonian of the integrable Heisenberg model with the spins being the Möbius group generators. Using the Baxter-Sklyanin representation, we calculate intercepts of the colorless states constructed from three and four reggeized gluons and anomalous dimensions of the corresponding higher twist operators. To understand the origin of the integrability of high-energy dynamics in the multicolor QCD in the LLA, we investigate next-to-leading corrections to the BFKL and DGLAP equations in the N=4 supersymmetric gauge theory beyond the LLA.

Fulltext is available at IOP
PACS: 11.15.Pg, 12.38.−t, 12.40.Nn (all)
DOI: 10.1070/PU2004v047n04ABEH001607
URL: https://ufn.ru/en/articles/2004/4/a/
Citation: Lipatov L N "Integrability properties of high energy dynamics in the multi-color QCD" Phys. Usp. 47 325–339 (2004)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Липатов Л Н «Свойства интегрируемости в квантовой хромодинамике высоких энергий при большом числе цветов» УФН 174 337–352 (2004); DOI: 10.3367/UFNr.0174.200404a.0337

References (33) Cited by (6) Similar articles (20) ↓

  1. A.V. Leonidov “Dense gluon matter in nuclear collisions48 323–343 (2005)
  2. A.B. Kaidalov “Pomeranchuk singularity and high-energy hadronic interactions46 1121–1136 (2003)
  3. G.M. Zinovjev, A.M. Snigirev “Multiparton distribution functions in quantum chromodynamics64 (4) (2021)
  4. E.M. Levin, M.G. Ryskin “The increase in the total cross sections for hadronic interactions with increasing energy32 479–499 (1989)
  5. M.L. Mangano “QCD and the physics of hadronic collisions53 109–132 (2010)
  6. I.M. Dremin “Elastic scattering of hadrons56 3–28 (2013)
  7. V.V. Anisovich “Systematics of quark-antiquark states and scalar exotic mesons47 45–67 (2004)
  8. V.V. Anisovich “The lightest scalar glueball41 419–439 (1998)
  9. E.E. Boos, O. Brandt et alThe top quark (20 years after the discovery)58 1133–1158 (2015)
  10. N.P. Zotov, V.A. Tsarev “Diffraction dissociation: 35 years on31 119–139 (1988)
  11. I.M. Dremin, I.I. Roizen, D.S. Chernavskii “The importance of inelastic processes at high energies and the theory of fireballs13 438–460 (1971)
  12. I.M. Dremin “Multiparticle production and quantum chromodynamics45 507–525 (2002)
  13. Yu.S. Kalashnikova, A.V. Nefed’ev “Two-dimensional QCD in the Coulomb gauge45 347–368 (2002)
  14. I.M. Dremin “Correlations and fluctuations in multiparticle production33 (8) 647–662 (1990)
  15. L.G. Landsberg “Exotic mesons33 (3) 169–203 (1990)
  16. I.M. Dremin, A.V. Leonidov “The quark — gluon medium53 1123–1149 (2010)
  17. A.Yu. Morozov “Integrability and matrix models37 1–55 (1994)
  18. M.S. Dubovikov, Yu.A. Simonov “Decay of resonant states and determination of their quantum numbers13 522–543 (1971)
  19. D.V. Shirkov “Properties of regge pole trajectories13 599–607 (1971)
  20. D.A. Trunin “Pedagogical introduction to the Sachdev—Ye—Kitaev model and two-dimensional dilaton gravity64 (3) (2021)

The list is formed automatically.

© 1918–2021 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions