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.
Similar content being viewed by others
References
For a review on supersymmetry see: P. Fayet, S. Ferrara: Phys. Rep.32C, 249 (1977)
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)
J. Wess, B. Zumino: Phys. Lett.49B, 52 (1974); J. Iliopoulos, B. Zumino: Nucl. Phys.B76, 310 (1974)
A.C. Davis, P. Salomonson, J.W. van Holten: Ref. TH. 3256-CERN and Ref. TH. 3268-CERN
E. Witten: Trieste Lectures (Summer 1981); Erice Lectures 1981
For a review see: P. Hasenfratz: In: 1981 International Symposium on Lepton and Photon Interactions at High Energies, Bonn 1981, p. 866
H. Nicolai, P. Dondi: Nuovo Cimento41A, 1 (1977)
S.D. Drell, M. Weinstein, S. Yankielowicz: Phys. Rev.D14, 478, 1627 (1976)
T. Banks, P. Windey: Nucl. Phys.B198, 226 (1982)
V. Rittenberg, S. Yankielowicz: Ref. TH. 3262-CERN (1982); S. Yankielowicz: private communication
S. Elitzur, E. Rabinovici, A. Schwimmer: Ref. TH. 3389-CERN (1982)
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)
J. Wess, B. Zumino: Nucl. Phys.B79, 39 (1971)
K.G. Wilson: Phys. Rev.D10, 2445 (1974); in: New phenomena in subnuclear physics, ed. A. Zichichi Erice 1975. New York: Plenum 1977
S. Ferrara, J. Iliopoulos, B. Zumino: Nucl. Phys.B77, 413 (1974)
This procedure follows Symanzik's idea of the “improved” action. See [12]
L.H. Karsten, J. Smith: Nucl. Phys.B183, 103 (1981)
The same “rule” has also been stated in the appendix of: W. Celmaster, D. Maloof: Phys. Rev.D24, 2730 (1981)
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
Author information
Authors and Affiliations
Additional information
Dedicated to Rudolf Haag on the occasion of his 60th birthday
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01573219