Skip to main content
SpringerLink
Log in

Compactification and spontaneous symmetry breaking in the λϕ4 theory with Kaluza-Klein background

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

Abstract

We obtain a one-loop effective action for the λϕ4 theory in the space M4×SN.We study the questions of compactification and spontaneous symmetry breaking due to the one-loop effective action of the λϕ4 theory. We show how the vacuum quantum effects of the scalar field induce the 4-dimensional Einstein-Cartan 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

Literature cited

  1. A. Salam and J. Sthratdee, Ann. Phys.,141, 316 (1982); E. Witten, Nucl. Phys.,B186, 412 (1981).

    Google Scholar 

  2. I. Ya. Aref'eva and I. V. Volovich, Usp. Fiz. Nauk,145, 655 (1985).

    Google Scholar 

  3. E. Cremmer and J. Scherk, Nucl. Phys.,B108, 409 (1976); P. G. O. Freund and M. A. Rubin, Phys. Lett.,94B, 233 (1980).

    Google Scholar 

  4. D. V. Volkov and V. I. Tkach, Pis'ma Zh. Éksp. Teor. Fiz.,32, 681 (1980); Teor. Mat. Fiz.,51, 171 (1982).

    Google Scholar 

  5. M. J. Duff, B. E. W. Nilsson, and C. N. Pope, Nucl. Phys.,B233, 433 (1984).

    Google Scholar 

  6. S. Randjbar-Daemi, A. Salam, and J. Sthratdee, Nucl. Phys.,B214, 491 (1983).

    Google Scholar 

  7. V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett.,125B, 139 (1983); V. G. Lavrelashvili and P. G. Tinyakov, Yader. Fiz.,41, 27 (1985).

    Google Scholar 

  8. I. Ya. Aref'eva and I. V. Volovich, Teor. Mat. Fiz.,64, 329 (1985).

    Google Scholar 

  9. Ya. I. Kogan and A. Yu. Morozov, Preprint ITEF, Moscow (1984).

  10. N. A. Voronov and Ya. I. Kogan, Pis'ma Zh. Éksp. Teor. Fiz.,38, 262 (1983).

    Google Scholar 

  11. D. J. Toms, Phys. Lett.,129B, 31 (1983); M. A. Awada and D. J. Toms, Phys. Lett.,135B, 283 (1984).

    Google Scholar 

  12. P. Candelas and S. Weinberg, Nucl. Phys.,B237, 397 (1984).

    Google Scholar 

  13. T. Appelquist and A. Chodos, Phys. Rev.,28D, 772 (1983); A. Chodos and E. Myers, Ann. Phys.,156, 412 (1984).

    Google Scholar 

  14. M. H. Sarmadi, Nucl. Phys.,B263, 187 (1986); S. Randjbar-Daemi and M. H. Sarmadi, Phys. Lett.,151B, 343 (1985).

    Google Scholar 

  15. Nguyen Van Hieu, Fortsch. Phys.,34, 441 (1986); V. G. Bagrov, I. L. Bukhbinder, and S. D. Odintsov, Yader. Fiz.,45, 1192 (1987).

    Google Scholar 

  16. S. R. Huggins and D. J. Toms, Phys. Lett.,153B, 247 (1985).

    Google Scholar 

  17. E. S. Fradkin and A. A. Tsvetlin, Nucl. Phys.,B227, 252 (1983).

    Google Scholar 

  18. B. L. Spokoinyi, Pis'ma Zh. Éksp. Teor. Fiz.,40, 354 (1984).

    Google Scholar 

  19. M. M. Janson, Lett. Nuovo Cim.,15, 231 (1984).

    Google Scholar 

  20. A. A. Grib and V. M. Mostepanenko, Pis'ma Zh. Éksp. Teor. Fiz.,25, 302 (1977); A. A. Grib, V. M. Mostepanenko, and V. M. Frolov, Teor. Mat. Fiz.,33, 42 (1977).

    Google Scholar 

  21. I. L. Bukhbinder and I. L. Shapiro, Izv. Vyssh. Uchebn. Zaved. Fiz.,8, 94 (1985).

    Google Scholar 

  22. C. G. Bollini and J. J. Giambiagi, Nuovo Cim.,93A, 113 (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lenin Komsomol Pedagogical Institute, Tomsk

    S. D. Odintsov

Authors
  1. S. D. Odintsov
    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. 9–14, September, 1988.

The author is grateful to I. L. Bukhbinder, I. V. Tyutin, A. A. Tseitlin, and B. L. Spokoinyi for useful discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Odintsov, S.D. Compactification and spontaneous symmetry breaking in the λϕ4 theory with Kaluza-Klein background. Soviet Physics Journal 31, 695–699 (1988). https://doi.org/10.1007/BF00895973

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00895973

Keywords

Search

Navigation