Skip to main content
SpringerLink
Log in

Asymptotic freedom in the Einstein-Cartan theory

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

Abstract

The Einstein-Cartan theory with a cosmological constant and an external current is analyzed. Single-loop contraterms repeat the structure of the original action on the mass shell. This fact is utilized to write a renormalization-group equation for the effective charges associated with the cosmological constant and the square of the current. Asymptotic freedom is realized in the ultraviolet region for the new charges.

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. F. W. Hehl, P. Heyde, G. D. Kerlick, and J. M. Nester, Rev. Mod. Phys.,48, 393 (1976).

    Google Scholar 

  2. D. D. Ivanenko, P. I. Pronin, and G. A. Sardanashvili, The Gauge Theory of Gravitation [in Russian], Izd. Moscow State Univ., Moscow (1985).

    Google Scholar 

  3. V. N. Ponomarev, A. O. Barvinskii, and Yu. N. Obukhov, Geometric Methods and the Gauge Approach to the Theory of Gravitational Interactions [in Russian], Énergoatomizdat, Moscow (1985).

    Google Scholar 

  4. I. L. Bukhbinder, S. D. Odintsov, and I. L. Shapiro, Preprint No. 10, ISÉ, Siberian Branch, Academy of Sciences of the USSR, Tomsk, 1985.

    Google Scholar 

  5. P. Van Nieuwenhuizen, Phys. Rev.,68, 189 (1981).

    Google Scholar 

  6. E. S. Fradkin and A. A. Tseytlin, Nucl. Phys.,B201, 469 (1982).

    Google Scholar 

  7. I. L. Buchbinder, S. D. Odintsov, and I. L. Shapiro, Phys. Lett.,162B, 92 (1985).

    Google Scholar 

  8. B. S. De Witt, Phys. Rev.,162, 1195 (1967).

    Google Scholar 

  9. R. Kallosh, Nucl. Phys.,B78, 293 (1974).

    Google Scholar 

  10. B. S. De Witt, Dynamical Theory of Groups and Fields, Gordon and Breach, New York (1965).

    Google Scholar 

  11. A. O. Barvinsky and G. A. Vilkovisky, Nucl. Phys.,B191, 237 (1981).

    Google Scholar 

  12. S. M. Christensen and M. J. Duff, Nucl. Phys.,B170, 480 (1980).

    Google Scholar 

  13. G. t'Hooft and M. Veltman, Ann. Inst. H. Poincare,A20, 69 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Leninist Communist Youth League, Tomsk Pedagogical Institute, USSR

    I. L. Bukhbinder & I. L. Shapiro

Authors
  1. I. L. Bukhbinder
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. L. Shapiro
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 40–44, September, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bukhbinder, I.L., Shapiro, I.L. Asymptotic freedom in the Einstein-Cartan theory. Soviet Physics Journal 31, 723–726 (1988). https://doi.org/10.1007/BF00895980

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00895980

Keywords

Search

Navigation