Skip to main content
Log in

Scale-invariant asymptotic (automodel) behavior in quantum field theory

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We summarize the results of our 40-year investigations of scale-invariant (automodel) behavior of form factors in hadron-lepton deep-inelastic scattering processes at high energies and large transferred momenta within the Bogoliubov axiomatics of quantum field theory. This approach was conducive to the emergence of the notion of quark color in quantum chromodynamics.

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. N. N. Bogolyubov, V. S. Vladimirov, and A. N. Tavkhelidze, Theor. Math. Phys., 12, 839–858 (1972).

    Article  Google Scholar 

  2. N. N. Bogoliubov, A. A. Logunov, A. I. Oksak, and I. T. Todorov, General Principles of Quantum Field Theory [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. V. S. Vladimirov and B. I. Zavialov, Theor. Math. Phys., 50, 105–126 (1982).

    Article  Google Scholar 

  4. B. I. Zavialov, Theor. Math. Phys., 19, 426–432 (1974).

    Article  Google Scholar 

  5. V. A. Matveev and A. N. Tavkhelidze, Fiz. Elem. Chast. At. Yadra, 37, 574–596 (2006).

    Google Scholar 

  6. N. Bogolubov, V. Matveev, and A. Tavkhelidze, “Colored quarks,” in: Gravitation and Elementary Particle Physics (A. A. Logunov, ed.), Mir (1983), pp. 220–285.

  7. V. S. Vladimirov, Yu. N. Drozhzhinov, and B. I. Zavialov, Multidimensional Tauberian Theorems for Generalized Functions [in Russian], Nauka, Moscow (1986).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. S. Vladimirov.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 170, No. 1, pp. 118–121, January, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vladimirov, V.S. Scale-invariant asymptotic (automodel) behavior in quantum field theory. Theor Math Phys 170, 97–99 (2012). https://doi.org/10.1007/s11232-012-0010-0

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-012-0010-0

Keywords

Navigation