Skip to main content
SpringerLink
Log in

Elliptic solutions of ℂPn-1 models and their properties

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

A new family of elliptic solutions in the general charge sector of ℂPn-1 model is proposed. Forn=2 these solutions interpolate between merons and arbitrary instantons; forn≧3 the situation is less clear. Various properties are investigated, both in Euclidean and Minkowski space. The solutions are found to interact through a potential rising more slowly than logarithmic.

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

References

  1. A. Actor: Ann. Phys.131, 269 (1981)

    Google Scholar 

  2. V.A. Fateev, I.V. Frolov, A.S. Schwartz: Nucl. Phys.B154, (1979); Sov. J. Nucl. Phys.30, 590 (1979); A.A. Belavin, V.A. Fateev, A.S. Schwartz, Yu.S. Tyupkin: Phys. Lett.83B, 317 (1979)

  3. A. Actor: Z. Phys. C — Particles and Fields6, 223 (1980)

    Google Scholar 

  4. C. Callan, R. Dashen, D.J. Gross: Phys. Lett.66B, 375 (1977); Phys. Rev.D17, 2717 (1978)

    Google Scholar 

  5. M.C. Ogilvie, G.S. Guralnik: Nucl. Phys.B190, 325 (1981)

    Google Scholar 

  6. D.J. Gross: Nucl. Phys.B132, 439 (1978)

    Google Scholar 

  7. B. Berg, M. Lüscher: Nucl. Phys.B190, 412 (1981); M. Lüscher: Bern preprint BUTP-4/1981; B. Berg: CERN preprint TH-3076-CERN

    Google Scholar 

  8. P. Tataru-Mihai: Phys. Rev.D22, 2006 (1980)

    Google Scholar 

  9. A. d'Adda, M. Luscher, P. di Vecchia: Nucl. Phys.B146, 63 (1978)

    Google Scholar 

  10. A. Actor: Lett. Math. Phys.4, 147 (1980)

    Google Scholar 

  11. J. Cervero, L. Jacobs, C.R. Nohl: Phys. Lett.69B, 251 (1977)

    Google Scholar 

  12. G. Ghika, M. Visinescu: preprint, Department of Fundamental Physics, Bucharest, Romania

  13. M. Abramowitz, I.A. Stegun: A handbook of mathematical functions, Chap. 16, 17. New York: Dover 1965

    Google Scholar 

  14. A. Din, W.J. Zakrzewski: Nucl. Phys.B174, 397 (1980)

    Google Scholar 

  15. V.E. Zakharov, A.V. Mikhailov: Sov. Phys. JETP47, 1017 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematics Department, University of Durham, Durham, UK

    R. B. Abbott

Authors
  1. R. B. Abbott
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abbott, R.B. Elliptic solutions of ℂPn-1 models and their properties. Z. Phys. C - Particles and Fields 15, 51–59 (1982). https://doi.org/10.1007/BF01573425

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01573425

Keywords

Search

Navigation