Skip to main content
Log in

Wilson loop and related strings for the instanton and their variational derivatives

Петля Вильсона и связанные струны для инстантона и их вариационные производные

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

We compute ordered integrals along ares (or circles) and segments for the instanton. We use them to obtain variational and partial derivatives for open and closed strings. We also compute the d’Alembertian for Wilson loops.

Riassunto

Si calcolano integrali ordinati lungo archi (o circonferenze) e segmenti per l’istantone. Si usano per ottenere derivate variazionali e parziali per stringhe aperte e chiuse. Si calcola anche il d’Alembertiano per cappi di Wilson.

Резюме

Мы вычисляем упорядоченные интегралы вдоль дуг (или кругов) и сегментов для инстантона. Мы используем эти интегралы для получения вариационных и частных производных для открытых и замкнутых струн. Мы также вычисляем даламбертиан для петель Вильсона.

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. K. Wilson:Phys. Rev. D,10, 2445 (1974).

    Article  ADS  Google Scholar 

  2. S. Mandelstam: preprint UCB-PTH-79/9 (August) and bibliography therein.

  3. J. L. Gervais andA. Neveu:Nucl. Phys. B,153, 445 (1979).

    Article  ADS  Google Scholar 

  4. J. L. Gervais, M. T. Jaekel andA. Neveu:Nucl. Phys. B,155, 75 (1979).

    Article  ADS  Google Scholar 

  5. A. M. Polyakov:Phys. Lett. B,82, 247 (1979).

    Article  ADS  Google Scholar 

  6. Y. M. Makernko andA. A. Migdal: preprint I.T.E.P., 86 (1979).

  7. M. A. Virasoro:Phys. Lett. B,82, 436 (1979).

    Article  ADS  Google Scholar 

  8. A. Belavin, A. Polyakov, A. Schwarz andY. Tyupkin:Phys. Lett.,5, 85 (1975).

    Article  Google Scholar 

  9. G. ’t Hooft:Phys. Rev. Lett.,37, 8 (1976).

    Article  ADS  Google Scholar 

  10. Y. Nambu:Phys. Lett. B,80, 372 (1979).

    Article  ADS  Google Scholar 

  11. E. Corrigan andB. Hasslacher:Phys. Lett. B,81, 181 (1979).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Traduzione a cura della Redazione.

Переведено редакцией.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bollini, C.G., Giambiagi, J.J. & Tiomno, J. Wilson loop and related strings for the instanton and their variational derivatives. Nuov Cim A 59, 412–418 (1980). https://doi.org/10.1007/BF02904683

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02904683

Navigation