Skip to main content
SpringerLink
Log in

A Perturbative solution to Gribov-Lipatov equation

  • Published:
Zeitschrift für Physik C Particles and Fields

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

The so called ad hoc exponentiations of the perturbative solution to Gribov-Lipatov evolution equation for the non-singlet electron structure function are discussed. It is shown that the series resulting from the exponentiation prescription proposed by Jadach and Ward can be understood as a new type of perturbative solution possessing better convergence properties. A recurrence formula for the elements of the Jadach-Ward series is derived. A new perturbative series possessing even better convergence properties and simpler structure is proposed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. V.N. Gribov, L.N. Lipatov: Sov. J. Nucl. Phys. 15 (1972) 675; ibid, 938; L.N. Lipatov: Yad. Fiz. 20 (1974) 181

    Google Scholar 

  2. F. Berends: in: G. Altarelli, R. Kleiss, C. Verzegnassi (eds.): Z Physics at LEP 1, vol. 1, p. 107, Geneva 1989.

  3. W. Beenakker, F.A. Berends, W.L. van Neerven: in: J.H. Kühn (ed.): Radiative Corrections fore + e − Collisions, p. 3, Berlin, Heidelberg, New York: Springer; O. Nicrosini, L. Trentadue: ibid., p. 25; G.J. Burgers: in: J. Ellis, R. Peccei (eds.): Polarization at LEP, CERN Yellow Report 80-06. Geneva 1988

    Google Scholar 

  4. M. Skrzypek: Leading logarithmic calculations of QED corrections at LEP. Acta Phys. Pol. B 23 (1992) 135

    Google Scholar 

  5. E.A. Kuraev, V.S. Fadin: Sov. J. Nucl. Phys. 41 (1985) 466

    Google Scholar 

  6. D.R. Yenni, S.C. Frautschi, H. Suura: Ann. Phys. 13 (1961) 379

    Google Scholar 

  7. S. Jadach, B.F.L. Ward: preprint TPJU-15/88, Kraków 1988; Comput. Phys. Commun. 56 (1990) 351

  8. S. Jadach, M. Skrzypek, B.F.L., Ward: Phys. Lett. 257B (1991) 173; M. Skrzypek, S. Jadach: Z. Phys. C — Particles and Fields 49 (1991) 577

    Google Scholar 

  9. J. Wosiek, K. Zalewski: Acta Phys. Pol. B 11 (1980) 755

    Google Scholar 

  10. G. Altarelli, G. Parisi: Nucl. Phys. B 126 (1977) 298

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Teilchenphysik, Universität Karlsruhe, Kaiserstr. 12, Postfach 6980, W-7500, Karisruhe 1, Federal Republic of Germany

    M. Jeżabek (Elexander von Humboldt Foundation Fellow)

Authors
  1. M. Jeżabek
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Jeżabek.

Additional information

Work partly supported by KBN Grant No. 20-38-09101

On leave on absence from Institute of Nuclear Physics, Kraków, Poland.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jeżabek, M. A Perturbative solution to Gribov-Lipatov equation. Z. Phys. C - Particles and Fields 56, 285–287 (1992). https://doi.org/10.1007/BF01555526

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01555526

Keywords

Search

Navigation