Skip to main content
SpringerLink
Log in

Infrared asymptotics of the Feynman propagator in a simple non-Abellian model

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

Abstract

The large-distance behavior of the Feynman propagator is investigated in a simple non-Abelian model of fermions and massless bosons that generalizes the model considered by Popov and Wu with isospin to the case of an arbitrary compact semisimple Lie group and space dimensiond≤4. The leading infrared approximation for the asymptotic behavior is obtained by means of the renormalization-group method applied to the effective one-dimensional massless model that describes the eikonal approximation to the original field theory.

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. Popov and T. T. Wu,Phys. Lett. B,85, 395 (1979).

    Google Scholar 

  2. V. N. Popov,Functional Integrals in Quantum Field Theory and Statistical Physics [in Russian], Atomizdat, Moscow (1976).

    Google Scholar 

  3. L. Ts. Adzhemyan, A. N. Vasil'ev, and Yu. M. Pis'mak,Teor. Mat. Fiz.,68, 323 (1986).

    Google Scholar 

  4. L. Ts. Adzhemyan, A. N. Vasil'ev, M. M. Perekalin, and Kh. Yu. Reittu,Zh. Eksp. Teor. Fiz.,96, 1278 (1989).

    Google Scholar 

  5. J. C. Collins,Renormalization, C. U. P., Cambridge (1986).

    Google Scholar 

  6. V. V. Zheleznyakov, V. V. Kocharovskii, and Vl. V. Kocharovskii,Usp. Fiz. Nauk,141, 257 (1983).

    Google Scholar 

  7. A. A. Vladimirov,Teor. Mat. Fiz.,43, 210 (1980).

    Google Scholar 

Download references

Authors
  1. N. V. Antonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. N. Vasil'ev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. M. Stepanova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

St Petersburg State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 96, No. 2, pp. 313–320, August, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Antonov, N.V., Vasil'ev, A.N. & Stepanova, M.M. Infrared asymptotics of the Feynman propagator in a simple non-Abellian model. Theor Math Phys 96, 989–993 (1993). https://doi.org/10.1007/BF01017703

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017703

Keywords

Search

Navigation