Skip to main content
Log in

A monopole-like classical solution to a purely fermionic model of even dimensions

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

We present a static solution to the classical field equations of a purely spinorial model with SO(2n) internal symmetry in 2n dimensions. The model contains composite vector fields which have solutions of the Wu-Yang monopole type.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dirac, P. A. M., Proc. Royal Soc. Lond. A133, 60 (1931).

    Google Scholar 

  2. Wu, T. T. and Yang, C. N., in H.Mark and S.Fernback (eds), Properties of Matter Under Unusual Conditions, Interscience, New York 1968.

    Google Scholar 

  3. 't Hooft, G., Nuclear Phys. B79, 276 (1974); Polyakov, A., JETP Lett. 20, 194 (1974).

    Google Scholar 

  4. Ward, R. S., Comm. Math. Phys. 79, 317 (1981); Corrigan, E., Goddard, P., Comm. Math. Phys. 80, 575 (1981).

    Google Scholar 

  5. Atiyah, M. F., Hitchin, N. J., Drinfeld, G., and Manin, Yu. I., Phys. Lett. 65A, 185 (1978).

    Google Scholar 

  6. Nahm, W., in N. Craigie (ed), Monopoles in Quantum Field Theory, Trieste Proceedings, 1982 World Scientific, Singapore.

  7. Tchrakian, D. H., J. Math. Phys. 21, 166 (1980); Saclioglu, C., Nuclear Phys. B277, 487 (1986).

    Google Scholar 

  8. Dibekci, D., Hortacsu, M., and Kalayci, J., Phys. Lett. 209B, 516 (1988).

    Google Scholar 

  9. Thirring, W., Ann. Physics 3, 91 (1958).

    Google Scholar 

  10. Heisenberg, W., Einfuhrung in die Einheitliche Feld theorie der Elementarteilchen, S. Hirzel, Stuttgart, 1967.

    Google Scholar 

  11. Gursey, F., Nuovo Cimento 3, 988 (1956).

    Google Scholar 

  12. Kortel, F., Nuovo Cimento 4, 210 (1956).

    Google Scholar 

  13. Akdeniz, K. G., Lett. Nuovo Cimento 33, 40 (1982); Barut, A. and Xu, B. W., Phys. Lett. 102B, 37 (1981).

    Google Scholar 

  14. Akdeniz, K. G., Arik, M., Durgut, M., Hortacsu, M., Kaptanoglu, S., and Pak, N. K., Phys. Lett. 116B, 41 (1982).

    Google Scholar 

  15. Arik, M., Hortacsu, M., and Kalayci, J., Lett. Math. Phys. 8, 145 (1984); J. Phys. G, Nuclear Phys. 11, 1 (1985).

    Google Scholar 

  16. Dubois-Violette, M. and Georgelin, Y., Phys. Lett. 82B, 251 (1979); Brezin, E., Itzykson, C., Zinn-Justin, J., and Zuber, J. B., Phys. Lett. 82B, 442 (1979); Hortacsu, M., Schroer, B., and Thun, H. J., Nuclear Phys. B154, 120 (1979); Hortacsu, M., FUB-Berlin Preprint, (1979).

    Google Scholar 

  17. Wess, J. and Zumino, B., Phys. Lett. 37B, 95 (1971); Witten, E., Nuclear Phys. B223, 422 (1983).

    Google Scholar 

  18. Hortacsu, M., Nuovo Cimento 17A, 411 (1973).

    Google Scholar 

  19. Fubini, S., Hanson, A. J., and Jackiw, R., Phys. Rev. D7, 1732 (1973).

    Google Scholar 

  20. Akdeniz, K. G., Arik, M., Hortacsu, M., and Pak, N. K., Phys. Lett. 124B, 79 (1983).

    Google Scholar 

  21. Hortacsu, M., Seiler, R., and Schroer, B., Phys. Rev. D5, 2519 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dibekci, D., Hortacsu, M., Kalayci, J. et al. A monopole-like classical solution to a purely fermionic model of even dimensions. Lett Math Phys 22, 203–210 (1991). https://doi.org/10.1007/BF00403546

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00403546

AMS subject classifications (1991)

Navigation