Skip to main content
Log in

A lattice version of the Wess-Zumino model

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

A lattice Lagrangian of the Wess-Zumino model is constructed using perturbation theory up to two loops. It is shown that the renormalized vertex-functions have the correct continuum limit if nonsupersymmetric counterterms up to dimension four are added to the Lagrangian. The structure of these terms is analysed with the Wilson prescription for the fermions.

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. For a review on supersymmetry see: P. Fayet, S. Ferrara: Phys. Rep.32C, 249 (1977)

    Google Scholar 

  2. Attempts in this direction have been made, for example, in: S. Dimopoulos, S. Raby: Nucl. Phys.B192, 353 (1981); E. Witten: Nucl. Phys.B188, 513 (1981); A. Din, W. Fischler, M. Srednicki: Nucl. Phys.B189, 575 (1981); S. Dimopoulos, H. Georgi: Nucl. Phys.B193, 150 (1981); N. Sakai: Z. Phys. C—Particles and Fields11, 153 (1981)

    Google Scholar 

  3. J. Wess, B. Zumino: Phys. Lett.49B, 52 (1974); J. Iliopoulos, B. Zumino: Nucl. Phys.B76, 310 (1974)

    Google Scholar 

  4. A.C. Davis, P. Salomonson, J.W. van Holten: Ref. TH. 3256-CERN and Ref. TH. 3268-CERN

  5. E. Witten: Trieste Lectures (Summer 1981); Erice Lectures 1981

  6. For a review see: P. Hasenfratz: In: 1981 International Symposium on Lepton and Photon Interactions at High Energies, Bonn 1981, p. 866

  7. H. Nicolai, P. Dondi: Nuovo Cimento41A, 1 (1977)

    Google Scholar 

  8. S.D. Drell, M. Weinstein, S. Yankielowicz: Phys. Rev.D14, 478, 1627 (1976)

    Google Scholar 

  9. T. Banks, P. Windey: Nucl. Phys.B198, 226 (1982)

    Google Scholar 

  10. V. Rittenberg, S. Yankielowicz: Ref. TH. 3262-CERN (1982); S. Yankielowicz: private communication

  11. S. Elitzur, E. Rabinovici, A. Schwimmer: Ref. TH. 3389-CERN (1982)

  12. K. Symanzik: In: Recent developments in gauge theories, Eds. G. 'tHooft et al. p. 313 New York: Plenum 1980; K. Symanzik: DESY 81-068 (1981)

    Google Scholar 

  13. J. Wess, B. Zumino: Nucl. Phys.B79, 39 (1971)

    Google Scholar 

  14. K.G. Wilson: Phys. Rev.D10, 2445 (1974); in: New phenomena in subnuclear physics, ed. A. Zichichi Erice 1975. New York: Plenum 1977

    Google Scholar 

  15. S. Ferrara, J. Iliopoulos, B. Zumino: Nucl. Phys.B77, 413 (1974)

    Google Scholar 

  16. This procedure follows Symanzik's idea of the “improved” action. See [12]

    Google Scholar 

  17. L.H. Karsten, J. Smith: Nucl. Phys.B183, 103 (1981)

    Google Scholar 

  18. The same “rule” has also been stated in the appendix of: W. Celmaster, D. Maloof: Phys. Rev.D24, 2730 (1981)

    Google Scholar 

  19. P. Becher: Phys. Lett.104B, 221 (1981); P. Becher, H. Joos: Z. Physik C—Particles and Fields15, 343 (1982); T. Banks, Y. Dothan, D. Horn: Tel Aviv preprint, TAUP 1037-82

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Rudolf Haag on the occasion of his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bartels, J., Kramer, G. A lattice version of the Wess-Zumino model. Z. Phys. C - Particles and Fields 20, 159–170 (1983). https://doi.org/10.1007/BF01573219

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01573219

Keywords

Navigation