Skip to main content
Log in

Theoretical evidence for a tachyonic ghost-state contribution to the gluon propagator in high-energy, forward quark-quark “scattering”

  • On the 70th Anniversary of Yurii Antonovich Simonov
  • Published:
Physics of Atomic Nuclei Aims and scope Submit manuscript

Abstract

Implications stemming from the inclusion of nonperturbative confining effects, as contained in the stochastic vacuum model of H. Dosch and Yu.A. Simonov, are considered in the context of a (hypothetical) quark-quark “scattering process” in the Regge kinematical region. In a computation wherein the nonperturbative input enters as a correction to established perturbative results, a careful treatment of infrared divergences is shown to imply the presence of an effective propagator associated with the existence of a linear term in the static potential. An equivalent statement is to say that the modified gluonic propagator receives a contribution from a tachyonic ghost state, an occurrence which is fully consistent with earlier suggestions made in the context of low-energy QCD phenomenology.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Cheng and T. T. Wu, Expanding Protons: Scattering at High Energies (M. I. T. Press, Cambridge, 1987).

    Google Scholar 

  2. L. N. Lipatov, Nucl. Phys. B 309, 379 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  3. G. P. Korchemsky, Phys. Lett. B 325, 459 (1994); I. A. Korchemskaya and G. P. Korchemsky, Nucl. Phys. B 437, 127 (1995).

    ADS  Google Scholar 

  4. D. Kabat, Comments Nucl. Part. Phys. 20, 325 (1992).

    Google Scholar 

  5. A. I. Karanikas and C. N. Ktorides, Phys. Rev. D 59, 016003 (1999).

    Google Scholar 

  6. H. G. Dosch and Yu. A. Simonov, Phys. Lett. B 205, 339 (1988).

    ADS  MathSciNet  Google Scholar 

  7. O. Nachtmann, Lectures Given at the 35th International University School of Nuclear and Particle Physics “Perturbative and Nonperturbative Aspects of Quantum Field Theory”, Schladming, Austria, 1996, HD-THEO-96-38.

  8. G. K. Savvidi, Phys. Lett. B 71B, 133 (1977).

    ADS  Google Scholar 

  9. N. G. Van Kampen, Physica 74, 215, 239 (1974); Phys. Rep. 24, 172 (1976).

    MathSciNet  Google Scholar 

  10. A. Di Giacomo, H. G. Dosch, V. I. Shevchenko, and Yu. A. Simonov, Phys. Rep. 372 (2002).

  11. Yu. A. Simonov, Lect. Notes Phys. 479, 144 (1995); Yad. Fiz. 65, 140 (2002) [Phys. At. Nucl. 65, 135 (2002)].

    Google Scholar 

  12. G. ’t Hooft, The Background Field Method in Gauge Field Theories, in “Karpacz 1975, Proceedings” (Acta Universitatis Wratislaviensis, Wroclaw, 1976), No. 368, Vol. 1, p. 345.

    Google Scholar 

  13. V. A. Fock, Izv. Akad. Nauk USSR, OMEN, 557 (1937).

  14. R. P. Feynman, Phys. Rev. 80, 440 (1950).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  15. J. Schwinger, Phys. Rev. 82, 664 (1951).

    ADS  MATH  MathSciNet  Google Scholar 

  16. M. J. Strassler, Nucl. Phys. B 385, 145 (1992).

    Article  ADS  MathSciNet  Google Scholar 

  17. M. Reuter, M. G. Schmidt, and C. Schubert, Ann. Phys. (N.Y.) 259, 313 (1997).

    Article  ADS  MathSciNet  Google Scholar 

  18. A. I. Karanikas and C. N. Ktorides, J. High Energy Phys. 9911, 033 (1999).

    Google Scholar 

  19. Yu. A Simonov and J. A. Tjon, Ann. Phys. (N.Y.) 300, 54 (2002).

    Article  ADS  MathSciNet  Google Scholar 

  20. K. G. Chetyrkin, S. Narison, and V. I. Zakharov, Nucl. Phys. B 550, 353 (1999).

    Article  ADS  Google Scholar 

  21. Yu. A. Simonov, Phys. Rep. 320, 265 (1999).

    Article  ADS  MathSciNet  Google Scholar 

  22. S. L. Huber, M. Reuter, and M. G. Schmidt, Phys. Lett. B 462, 158 (1999).

    ADS  Google Scholar 

  23. V. A. Fock, Phys. Z. Sowjetunion 12, 404 (1937).

    MATH  Google Scholar 

  24. J. Schwinger, Phys. Rev. 82, 664 (1951).

    ADS  MATH  MathSciNet  Google Scholar 

  25. Yu. A. Simonov, Usp. Fiz. Nauk 166, 337 (1996) [Phys. Usp. 39, 313 (1996)].

    Google Scholar 

  26. R. A. Brandt, F. Neri, and M.-A. Sato, Phys. Rev. D 24, 879 (1981); R. A. Brandt, A. Gocksch, M.-A. Sato, and F. Neri, Phys. Rev. D 26, 3611 (1982).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

From Yadernaya Fizika, Vol. 68, No. 5, 2005, pp. 894–903.

Original English Text Copyright © 2005 by Karanikas, Ktorides.

This article was submitted by the authors in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karanikas, A.I., Ktorides, C.N. Theoretical evidence for a tachyonic ghost-state contribution to the gluon propagator in high-energy, forward quark-quark “scattering”. Phys. Atom. Nuclei 68, 861–869 (2005). https://doi.org/10.1134/1.1935018

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1935018

Keywords

Navigation