New Pathways in High-Energy Physics I pp 331-344 | Cite as
Spontaneous Breaking of Supersymmetry in Non-Abelian Gauge Theories
Abstract
The Higgs mechanism gives at present the only reliable method of spontaneous symmetry breaking in quantum field theory. However, straightforward application of this mechanism to supersymmetric theories meets certain difficulties due to specific form of the supersymmetric potential. Fayet and Illipoulosl succeeded to solve the problem for the case of the supersymmetric theory invariant with respect to Abelian gauge group (see also2). Unfortunately this method is not directly applicable to the case of semi-simple gauge group which is the most interesting from the practical point of view. In particular it does not allow one to construct a model which is simultaneously infra-red convergent and asymptotically free, for which the supersymmetric Yang-Mills theory is a natural candidate.
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References
- 1.P. Fayet, J. Illiopoulos, Phys. Let. 51B, 461, (1974).Google Scholar
- 2.P. Fayet, Nuclear Phys. B90, 104, (1975), Preprint de l’Ecole Normale Superieure. PTENS 7515.Google Scholar
- 3.S. Browne, L. O’Raifeartaigh, T. Sherry, Preprint Dublin Institute for Advanced Studies DIAS-TP-75–16.Google Scholar
- 4.P. Fayet, Preprint de l’Ecole Normale Superieure PTENS 75/1.Google Scholar
- 5.J. Wess, B. Zumino, Nuclear Phys. B78, 1, (1974).CrossRefGoogle Scholar
- 6.A. Salam, J. Strathdee, Preprint ICTP IC/74/42.Google Scholar
- 7.A. A. Slavnov, Preprint E-2–8308, JINR, 1974 and Theor. and Math. Phys. 23, 3, (1975).Google Scholar
- 8.A. A. Slavnov, Preprint E2–8443, JINR, (1974).Google Scholar
- 9.S. Weinberg, Phys. Rev. D, 8, 3497, (1973).CrossRefGoogle Scholar
- 10.J. C. Collins, A. J. MacFarlane, Phys. Rev. D, 10, 1201, (1974).CrossRefGoogle Scholar
- 11.I. V. Tiutin, B. L. Voronov, JETP Let. 21, 396, (1975).Google Scholar
- 12.S. Ferrara, O. Piguet, Preprint TH 1995-CERN, (1975).Google Scholar