Skip to main content
Log in

Conserved currents of the three-reggeon interaction

  • Elementary Particles and Fields
  • Theory
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

We consider an extension of Lipatov's conjecture about the deep relation between amplitudes in the high-energy limit of QCD (gluodynamics) and XXX Heisenberg chains with noncompact spins to the case of presence fermions (quarks).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. de Alfaro and T. Regge, Potential Scattering (North-Holland, Amsterdam, 1965); P. D. B. Collins, An Introduction to Regge Theory and High-Energy Physics (Cambridge Univ. Press, Cambridge, 1977).

    Google Scholar 

  2. F. Low, Phys. Rev. D 12, 163 (1975); V. N. Gribov, E. M. Levin, and M. G. Ryskin, Phys. Rep. 100, 1 (1983).

    Article  ADS  Google Scholar 

  3. V. N. Gribov, Zh. Éksp. Teor. Fiz. 53, 654 (1968) [Sov. Phys. JETP 26, 414 (1968)]; Nucl. Phys. B 106B 189 (1976).

    Google Scholar 

  4. L. N. Lipatov, Yad. Fiz. 23, 642 (1976) [Sov. J. Nucl. Phys. 23, 338 (1976)]; E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Phys. Lett. B 60B, 50 (1975); Zh. Éksp. Teor. Fiz. 71, 840 (1976) [Sov. Phys. JETP 44, 443 (1976)]; Zh. Éksp. Teor. Fiz. 72, 377 (1977) [Sov. Phys. JETP 45, 199 (1977)]; Ya. Ya. Balitskii and L. N. Lipatov, Yad. Fiz. 28, 1597 (1978) [Sov. J. Nucl. Phys. 28, 822 (1978)].

    Google Scholar 

  5. J. Bartels, Nucl. Phys. B 175, 365 (1980); J. Kwiecinski and M. Praszalowicz, Phys. Lett. B 94B, 413 (1980); L. N. Lipatov, in Perturbative QCD, Ed. by A. H. Mueller (World Sci., Singapore, 1989).

    Article  ADS  Google Scholar 

  6. R. Kirschner, L. N. Lipatov, and L. Szymanowski, Phys. Rev. D 51, 838 (1995); Nucl. Phys. B 425, 519 (1994); R. Kirschner and L. Szymanowski, Phys. Lett. B 419, 348 (1998); Phys. Rev. D 58, 14004 (1998).

    Article  ADS  Google Scholar 

  7. G. P. Korchemsky and G. Sterman, Nucl. Phys. B 437, 415 (1995).

    Article  ADS  Google Scholar 

  8. L. N. Lipatov, Padova Preprint DFPD/93/TH/70; hep-th/9311037; Pis'ma Zh. Éksp. Teor. Fiz. 59, 571 (1994) [JETP Lett. 59, 596 (1994)].

    Google Scholar 

  9. L. D. Faddeev and G. P. Korchemsky, Phys. Lett. B 342, 311 (1994).

    ADS  Google Scholar 

  10. L. N. Lipatov, Phys. Lett. B 251, 284 (1990).

    ADS  Google Scholar 

  11. R. Kirschner, Z. Phys. C 65, 505 (1995); 67, 459 (1995).

    Article  Google Scholar 

  12. E. K. Sklyanin, J. Phys. A 21, 2375 (1988); Nankai Lectures in Mathematical Physics, Introduction to Quantum Group and Integrable Massive Models of Quantum Field Theory (World Sci., Singapore, 1992), p. 63.

    Article  MathSciNet  MATH  ADS  Google Scholar 

  13. A. B. Zamolodchikov, Zh. Éksp. Teor. Fiz. 79, 641 (1980) [Sov. Phys. JETP 52, 325 (1980)]; A. B. Zamolodchikov and Al. B. Zamolodchikov, Ann. Phys. (N.Y.) 120, 253 (1979).

    MathSciNet  Google Scholar 

  14. V. E. Korepin, N. M. Bogoliubov, and A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions (Cambridge Univ. Press, Cambridge, 1993).

    Google Scholar 

  15. L. D. Faddeev, Integrable Models in (1+1)-Dimensional Quantum Field Theory: Proceedings of Les Houches XXXIX, Ed. by J.-B. Zuber and R. Stora (North-Holland, Amsterdam, 1984), p. 561.

    Google Scholar 

  16. L. D. Faddeev and L. A. Takhtadjan, Hamiltonian Methods in the Theory of Solitons (Springer-Verlag, Berlin, 1987).

    Google Scholar 

  17. P. P. Kulish and E. K. Sklyanin, Lect. Notes Phys. 151, 61 (1982); M. Jimbo, Yang-Baxter Equation in Integrable Systems (World Sci., Singapore, 1990), p. 715; R. J. Baxter, Exactly Solved Models in Statistical Mechanics (Academic, New York, 1992).

    MathSciNet  Google Scholar 

  18. I. V. Cherednik, Theor. Math. Phys. 61, 977 (1984).

    Article  MathSciNet  MATH  Google Scholar 

  19. S. Ghoshal and A. B. Zamolodchikov, Int. J. Mod. Phys. A 9, 3841 (1994).

    MathSciNet  ADS  Google Scholar 

  20. R. A. Janik and J. Wosiek, Cracow Preprint TPJU 2/98; hep-th/9802100; M. Praszalowicz and A. Rostworowski, Cracow Preprint TPJU 8/98; hep-ph/9805245.

  21. V. M. Braun, S. E. Derkachov, and A. N. Manashov, hep-ph/9805225; Phys. Rev. Lett. 81, 2020 (1998).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

From Yadernaya Fizika, Vol. 65, No. 8, 2002, pp. 1539–1550.

Original English Text Copyright © 2002 by Karakhanyan, Kirschner.

This article was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karakhanyan, D.R., Kirschner, R. Conserved currents of the three-reggeon interaction. Phys. Atom. Nuclei 65, 1501–1512 (2002). https://doi.org/10.1134/1.1501663

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1501663

Keywords

Navigation