Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Nonlinear sigma-model with a composite gauge field

  • 23 Accesses


A nonlinear gauge-invariant σ-model of a general type on a homogeneous space G/H is reformulated in terms of a composite gauge field. In the approximation under consideration, the one-loop effective action of the model is obtained. It is shown that one can choose the parameters in such a way that the theory is both free from ultraviolet divergences and does not lead to a dynamical generation of a composite boson.

This is a preview of subscription content, log in to check access.

Literature cited

  1. 1.

    S. Coleman, J. Wess, and B. Zumino, Phys. Rev.,177, 2239 (1969).

  2. 2.

    B. L. Voronov and I. V. Tyutin, Yad. Fiz.,33, 1137 (1981).

  3. 3.

    A. P. Balachandran, A. Stern, and G. Trahern, Phys. Rev.,D19, 2416 (1979).

  4. 4.

    N. Ohta, Phys. Lett.,134B, 75 (1984).

  5. 5.

    J. W. Van Holten, Phys. Lett.,135B, 427 (1984).

  6. 6.

    J. Bagger and E. Witten, Phys. Lett.,118B, 103 (1982).

  7. 7.

    M. Bando, T. Kuramoto, T. Maskawa, and S. Uehara, Progr. Theor. Phys.,72, 313 (1984).

  8. 8.

    D. G. Boulware and L. S. Brown, Ann. Phys. (USA),138, 418 (1982).

  9. 9.

    A. D'Adda, P. Di Vecchia, and M. Lüscher, Nucl. Phys.,B146, 63 (1978);B152, 125 (1979); Phys. Rep.,49, 239 (1979).

  10. 10.

    E. Gava, R. Jengo, and C. Omero, Phys. Lett.,81B, 187 (1979).

Download references

Author information

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 22–25, March, 1988.

In conclusion, the author wants to thank I. V. Tyutin and S. V. Ketov for their attention to this work and useful discussions.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Lokhvitskii, B.B. Nonlinear sigma-model with a composite gauge field. Soviet Physics Journal 31, 191–194 (1988). https://doi.org/10.1007/BF00898220

Download citation


  • General Type
  • Effective Action
  • Homogeneous Space
  • Gauge Field
  • Dynamical Generation