Skip to main content

Part of the book series: NATO Science Series ((NAII,volume 101))

  • 535 Accesses

Abstract

For self-consistency of the BFKL approach to the description of small-x processes a set of the “bootstrap” conditions must be fulfilled. The conditions appear from the requirement of compatibility of the gluon Reggeization with the s-channel unitarity. The set of these conditions in the next-to-leading approximation (NLA) is presented. It is argued that fulfillment of the whole set gives a possibility to prove the gluon Reggeization in the NLA.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    ADS  Google Scholar 

  2. Ya.Ya. Balitskii, L.N. Lipatov and V.S. Fadin, in Proceedings of Leningrad Winter School on Physics of Elementary Particles, Leningrad1979109 (in Russian).

    Google Scholar 

  3. V.S. Fadin and L.N. Lipatov, Phys. Lett.B429 (1998) 127.

    ADS  Google Scholar 

  4. M. Ciafaloni and G. Camici, Phys. Lett.B430 (1998) 349.

    ADS  Google Scholar 

  5. V.S. Fadin and R. Fiore, Phys. Lett.B440 (1998) 359.

    ADS  Google Scholar 

  6. V.S. Fadin, R. Fiore and A. Papa, Phys. Rev.D60 (1999) 074025.

    ADS  Google Scholar 

  7. V.S. Fadin and D. A. Gorbachev, Pis’ma v Zh. Eksp. Teor. Fiz.71 (2000) 322[JETP Letters 71 (2000) 222]; Phys. Atom. Nucl. 63 (2000) 2157 [Yad. Fiz. 63 (2000) 2253].

    Google Scholar 

  8. V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, Phys. Rev.D61 (2000) 094005.

    ADS  Google Scholar 

  9. V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, Phys. Rev.D61 (2000) 094006.

    ADS  Google Scholar 

  10. V.S. Fadin and A.D. Martin, Phys. Rev.D60 (1999) 114008.

    ADS  Google Scholar 

  11. V. Fadin, D. Ivanov and M. Kotsky, In: New Trends in High-Energy PhysicsEd.L.L. JenkovszkyKiev2000, pp. 190–194, hep-ph/0007119.

    Google Scholar 

  12. J. Bartels, S. Gieseke and C.F. Qiao, Phys. Rev.D63 (2001) 056014.

    ADS  Google Scholar 

  13. V. Fadin, D. Ivanov, M. Kotsky, hep-ph/0106099.

    Google Scholar 

  14. J. Bartels, S. Gieseke, A. Kyrieleis, Phys. Rev.D65 (2000) 014006, hep-ph/0107152.

    ADS  Google Scholar 

  15. V. S. Fadin and L. N. Lipatov, Nucl. Phys. B406 (1993) 259.

    Article  ADS  Google Scholar 

  16. V. S. Fadin and R. Fiore, Phys. Lett. B294 (1992) 286.

    Article  ADS  Google Scholar 

  17. V. S. Fadin, R. Fiore and A. Quartarolo, Phys. Rev. D50 (1994) 2265.

    Article  ADS  Google Scholar 

  18. V. S. Fadin, M. I. Kotsky and R. Fiore, Phys. Lett. B359 (1995) 181.

    Article  ADS  Google Scholar 

  19. V.S. Fadin, Zh. Eksp. Teor. Fiz. Pis’ma61 (1995) 342; V.S. Fadin, R. Fiore, A. Quartarolo, Phys. Rev. D53 (1996) 2729; M.I. Kotsky and V.S. Fadin, Yad. Fiz. 59 (6) (1996) 1; V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett. B359 (1995) 181.

    ADS  Google Scholar 

  20. V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett.B387 (1996) 593.

    ADS  Google Scholar 

  21. J. Blumlein, V. Ravindran and W.L. van Neerven, Phys. Rev.D58 (1998) 091502.

    ADS  Google Scholar 

  22. V. Del Duca and E.W.N. Glover, JHEP0110 (2001) 035, hep-ph/0109028.

    Article  ADS  Google Scholar 

  23. J. Bartels, Nucl. Phys.B 175 (1980) 365.

    Article  ADS  Google Scholar 

  24. V. S. Fadin, R. Fiore and A. Quartarolo, Phys. Rev. D50 (1994) 5893.

    Article  ADS  Google Scholar 

  25. V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett.B389 (1996) 737.

    ADS  Google Scholar 

  26. V. Del Duca and C. R. Schmidt, Phys. Rev.D 59 (1999) 074004.

    ADS  Google Scholar 

  27. V.S. Fadin, R. Fiore and A. Papa, Phys. Rev.D63 (2001) 034001, hep-ph/0008006.

    ADS  Google Scholar 

  28. L.N. Lipatov, V.S. Fadin, Zh. Eksp. Teor. Fiz. Pis’ma49 (1989) 311[Sov. Phys. JETP Lett. 49 (1989) 352]; Yad. Fiz. 50, (1989) 1141 [Sov. J. Nucl. Phys. 50 (1989) 712].

    ADS  Google Scholar 

  29. V.S. Fadin and L.N. Lipatov, Nucl. Phys.B477 (1996) 767.

    Article  ADS  Google Scholar 

  30. V. S. Fadin, R. Fiore, A. Flachi and M. I. Kotsky, Phys. Lett. B422 (1998) 287 [arXiv:hep-ph/9711427]; V. S. Fadin, M. I. Kotsky, R. Fiore and A. Flachi, Phys. Atom. Nucl. 62 (1999) 999 [Yad. Fiz. 62 (1999) 1066].

    Article  ADS  Google Scholar 

  31. V.S. Fadin, R. Fiore and M.I. Kotsky, Phys. Lett.B494 (2000) 100.

    ADS  Google Scholar 

  32. V.S. Fadin, R. Fiore, M.I. Kotsky and A. Papa, Phys. Lett.B495 (2000) 329.

    ADS  Google Scholar 

  33. M. Braun, hep-ph/9901447.

    Google Scholar 

  34. M. Braun and G.P. Vacca, Phys. Lett.B447 (2000) 156.

    ADS  Google Scholar 

  35. M. Braun and G.P. Vacca, Phys. Lett.B454 (1999) 319.

    ADS  Google Scholar 

  36. V. S. Fadin and A. Papa, Nucl. Phys. B640 (2002) 309.

    Article  ADS  MATH  Google Scholar 

  37. V.S Fadin, M.G. Kozlov and A.V. Reznichenko, to be published.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Fadin, V.S. (2003). Justification of the BFKL Approach in the NLA. In: Fiore, R., Jenkovszky, L.L., Kotsky, M.I., Magas, V.K., Papa, A. (eds) DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory. NATO Science Series, vol 101. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0177-9_22

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0177-9_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1307-2

  • Online ISBN: 978-94-010-0177-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics