Ultra-Violet Finiteness of the N = 4 Model
The N = 4 model is examined in light-cone coordinates. The advantage of such coordinates is that they can easily be applied to extended supersymmetries. In a certain form of the light-cone gauge, the perturbation expansion of the N = 4 model is free of ultraviolet divergences. As a consequence, the β-function vanishes in any order of perturbation theory in any gauge.
KeywordsVector Multiplet Ward Identity Supersymmetry Transformation External Line Ultraviolet Divergence
Unable to display preview. Download preview PDF.
- 3.M. Gell-Mann and J. Schwarz, unpublished.Google Scholar
- 5.S. Ferrara and B. Zumino (unpublished); M. Sohnius and P. West, Phys. Lett. 100B, 245 (1981);Google Scholar
- K. Stelle, L.P.T.E.N.S. 81, 24 (1981);Google Scholar
- Proceedings of the Paris Conference on High-Energy Physics (1982). The authors of the latter two references have informed me that they have succeeded in constructing a covariant N = 2 superspace, and thereby completing an alternative proof of the finiteness of the N = 4 model.Google Scholar
- 7.J. Kogut and D. Soper, Phys. Rev. D1, 2901 (1970);Google Scholar
- 8.L. Brink, O. Lindgren and B.E.W. Nilsson, Göteborg preprint 82/21 and preprint UTTG 1–82.Google Scholar
- 10.J.M. Cornwall, Phys. Rev. D10, 500 (1974).Google Scholar
- 12.S. Mandelstam, Phys. Lett. 121B, 30 (1983).Google Scholar