Critical O(N) - vector nonlinear sigma - models: A resume of their field structure

Details Critical O(N) - vector nonlinear sigma - models: A resume of their field structure Critical O(N) - vector nonlinear sigma - models: A resume of their field structure

1993-11-08

arxiv.org/abs/hep-th/9311046v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex. To appear in the Proceedings of the XXII Conference on Differential Methods in Theoretical Physics, Ixtapa, M

Scientific paper

The classification of quasi - primary fields is outlined. It is proved that the only conserved quasi - primary currents are the energy - momentum tensor and the O(N) - Noether currents. Derivation of all quasi - primary fields and the resolution of degeneracy is sketched. Finally the limits d=2 and d=4 of the space dimension are discussed. Whereas the latter is trivial the former is only almost so.

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