Skip to main content
SpringerLink
Log in

Five-dimensional formulation of gauge theories

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

This article examines the transition from a five-dimensional theory of a spin field interacting with a Yang-Mills field to the corresponding theory in Minkowski space due to the requirement of independence of the initial Lagrangian on the fifth dimension. The possible existence of a mechanism of violation of P- and T-invariance with a reduction in the number of dimensions is demonstrated. It is noted that quantization and formulation of the diagrammatic procedures in the theory of interacting scalar and vector fields in a four-dimensional space can be achieved by changing over to a description of these fields in the form of a five-dimensional Yang-Mills equation which is independent of the fifth coordinate.

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

Literature cited

  1. T. V. Kalutsa, in: Albert Einstein and the Theory of Gravitation [Russian translation], Mir, Moscow (1979), pp. 529–534.

    Google Scholar 

  2. O. Klein, Z. Phys.,37, No. 12, 895 (1926).

    Google Scholar 

  3. O. Klein, Z. Phys.,46, Nos. 3–4, 188 (1927).

    Google Scholar 

  4. Yu. B, Rumer, Studies in Five-Dimensional Optics, GITTL, Moscow (1956).

    Google Scholar 

  5. I. M. Lizin and A. A. Shelepin, in: Theoretical-Group Methods in Physics, Nauka, Moscow (1973), pp. 221–270.

    Google Scholar 

  6. A. M. Fedorovykh, Vestsi Akad. Navuk BSSR, Ser, Fiz. Mat. Navuk, No. 4, 47 (1977).

    Google Scholar 

  7. B. Julia, Proceedings of the Second Marcel Grossmann Meeting on General Relativity (1928), pp. 79–88.

  8. E. Gremer and J. Scherk, J. Nucl. Phys.,B103, 393 (1976).

    Google Scholar 

  9. A. Salam, Usp. Fiz. Nauk,132, No. 2, 229 (1980).

    Google Scholar 

  10. V. G. Kadyshevskii, in: Problems of Quantum Field Theory, R2-12462, Dubna (1979), pp. 21–39.

  11. A. A. Slavnov and L. D. Faddeev, Introduction to the Quantum Theory of Gauge Fields [in Russian], Nauka, Moscow (1978), 238 pp.

    Google Scholar 

  12. F. I. Fedorov, Dokl. Akad. Nauk,179, No. 4, 802 (1968).

    Google Scholar 

  13. F. I. Fedorov and V. I. Kuvshinov, Vestsi Akad. Navuk BSSR, Ser. Fiz. Mat. Navuk, No. 2, 69 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Physics, Academy of Sciences of the Belorussian SSR, USSR

    A. P. Avtyushkov, A. A. Bogush & Yu. A. Kurochkin

Authors
  1. A. P. Avtyushkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Bogush
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. A. Kurochkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 66–70, December, 1984.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Avtyushkov, A.P., Bogush, A.A. & Kurochkin, Y.A. Five-dimensional formulation of gauge theories. Soviet Physics Journal 27, 1061–1065 (1984). https://doi.org/10.1007/BF00895213

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00895213

Keywords

Search

Navigation