Skip to main content
SpringerLink
Log in

Color dipoles, PCAC, and Adler’s theorem

  • Fields, Particles, and Nuclei
  • Published:
JETP Letters Aims and scope Submit manuscript

Abstract

Being reformulated in the color dipole basis of small-x QCD, Adler’s theorem establishes a connection between perturbative and nonperturbative descriptions of deep inelastic scattering and quantifies the effect of nonperturbative dynamics on would-be perturbative observables. In particular, it provides a quantitative measure of the nonperturbative influence on the longitudinal structure function in charged current deep inelastic scattering and imposes stringent constraints on nonperturbative parameters of color dipole models. Our analysis calls for new experimental tests of Adler’s theorem in diffractive neutrino scattering.

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. S. Adler, Phys. Rev. [Sect. B] 135, 963 (1964).

    Article  ADS  Google Scholar 

  2. E. A. Kuraev, L. N. Lipatov, and V. S. Fadin, Zh. Éksp. Teor. Fiz. 72, 377 (1977) [Sov. Phys. JETP 45, 199 (1977)]; I. I. Balitsky and L. N. Lipatov, Yad. Fiz. 28, 1597 (1978) [Sov. J. Nucl. Phys. 28, 822 (1978)].

    MathSciNet  Google Scholar 

  3. N. N. Nikolaev, B. G. Zakharov, and V. R. Zoller, Pis’ma Zh. Éksp. Teor. Fiz. 59, 8 (1994)] [JETP Lett. 59, 6 (1994)].

    ADS  Google Scholar 

  4. N. N. Nikolaev and B. G. Zakharov, Zh. Éksp. Teor. Fiz. 105, 1117 (1994) [JETP 78, 598 (1994)].

    Google Scholar 

  5. R. Fiore and V. R. Zoller, JETP Lett. 82, 385 (2005); Phys. Lett. B 632, 87 (2006).

    Article  Google Scholar 

  6. V. Barone, M. Genovese, N. N. Nikolaev, et al., Phys. Lett. B 292, 181 (1992).

    Article  ADS  Google Scholar 

  7. Y. Nambu, Phys. Rev. Lett. 4, 380 (1960); M. Gell-Mann and M. Levy, Nuovo Cimento 17, 705 (1960).

    Article  ADS  Google Scholar 

  8. M. Diehl, T. Feldmann, R. Jakob, and R. Kroll, Eur. Phys. J. C 8, 409 (1999).

    Article  ADS  Google Scholar 

  9. A. V. Radyushkin, Phys. Rev. D 58, 114 008 (1998).

    Google Scholar 

  10. C. A. Piketty and L. Stodolsky, Nucl. Phys. B 15, 571 (1970).

    Article  ADS  Google Scholar 

  11. A. A. Belkov and B. Z. Kopeliovich, Sov. J. Nucl. Phys. 46, 499 (1987).

    Google Scholar 

  12. B. Z. Kopeliovich, Phys. Lett. B 227, 461 (1989); Sov. Phys. JETP 70, 801 (1990).

    Article  ADS  Google Scholar 

  13. B. Z. Kopeliovich and P. Marage, Int. J. Mod. Phys. A 8, 1513 (1993).

    Article  ADS  Google Scholar 

  14. C. Boros, J. T. Londergan, and A. W. Thomas, Phys. Rev. D 58, 114 030 (1998).

    Google Scholar 

  15. N. N. Nikolaev and B. G. Zakharov, Z. Phys. C 49, 607 (1991); Z. Phys. C 53, 331 (1992); Z. Phys. C 64, 631 (1994).

    Article  Google Scholar 

  16. A. H. Mueller, Nucl. Phys. B 415, 373 (1994); A. H. Mueller and B. Patel, Nucl. Phys. B 425, 471 (1994).

    Article  ADS  Google Scholar 

  17. A. Hebecker, Phys. Rep. 331, 1 (2000).

    Article  ADS  Google Scholar 

  18. K. Golec-Biernat and M. Wüsthoff, Phys. Rev. D 59, 014017 (1999); Phys. Rev. D 60, 114 023 (1999); H. Kowalski, L. Motyka, and G. Watt, Phys. Rev. D 74, 074016 (2006); J. R. Forshaw, G. Shaw, and R. Sandapen, J. High Energy Phys. 0611, 025 (2006).

  19. J. S. Bell, in Proceedings of the 11th Session of the Scottish Universities Summer School in Physics, NATO Advanced Study Institute, 1970, Ed. by J. Cumming and H. Osborn (Academic, New York, 1971), p. 369.

    Google Scholar 

  20. C. Daum, L. Hertzberger, W. Hoogland, et al. (The ACCMOR Collab.), Nucl. Phys. B 182, 269 (1981).

    Article  ADS  Google Scholar 

  21. M. L. Goldberger and S. B. Treiman, Phys. Rev. 111, 354 (1958).

    Article  MATH  ADS  Google Scholar 

  22. N. N. Nikolaev, Comments Nucl. Part. Phys. 21, 41 (1992); N. N. Nikolaev, A. Szczurek, J. Speth, et al., Nucl. Phys. A 567, 781 (1994).

    Google Scholar 

  23. A. Szczurek, N. N. Nikolaev, and J. Speth, Phys. Rev. C 60, 055206 (2002).

    Google Scholar 

  24. W. Jaus, Phys. Rev. D 44, 2851 (1991).

    Article  ADS  Google Scholar 

  25. N. N. Nikolaev, B. G. Zakharov, and V. R. Zoller, Phys. Lett. B 328, 486 (1994); JETP 78, 806 (1994).

    Article  ADS  Google Scholar 

  26. N. N. Nikolaev, B. G. Zakharov, and V. R. Zoller, Pis’ma Zh. Éksp. Teor. Fiz. 66, 134 (1997) [JETP Lett. 66, 138 (1997)]; N. N. Nikolaev, J. Speth, and V. R. Zoller, Phys. Lett. B 473, 157 (2000); Zh. Éksp. Teor. Fiz. 120, 1104 (2001) [JETP 93, 957 (2001)]; Eur. Phys. J. C 22, 637 (2002).

    ADS  Google Scholar 

  27. N. N. Nikolaev, W. Schäfer, B. G. Zakharov, and V. R. Zoller, Pis’ma Zh. Éksp. Teor. Fiz. 84, 631 (2006) [JETP Lett. 84, 537 (2006)].

    Google Scholar 

  28. W.-M. Yao et al. (Particle Data Group), J. Phys. G 33, 1 (2006).

    Article  ADS  Google Scholar 

  29. I. P. Ivanov, N. N. Nikolaev, and W. Schäfer, Phys. Part. Nuclei 35, 30 (2004).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica, Università della Calabria, Italy

    R. Fiore

  2. Institute Nazionale di Fisica Nucleare, Gruppo collegato di Cosenza, I-87036, Rende, Cosenza, Italy

    R. Fiore

  3. Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia

    V. R. Zoller

Authors
  1. R. Fiore
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. R. Zoller
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The text was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fiore, R., Zoller, V.R. Color dipoles, PCAC, and Adler’s theorem. Jetp Lett. 85, 309–314 (2007). https://doi.org/10.1134/S0021364007070016

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364007070016

PACS numbers

Search

Navigation