English

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

High Energy Physics - Theory 2009-09-25 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9311046,
  title  = {Critical O(N) - vector nonlinear sigma - models: A resume of their field structure},
  author = {Klaus Lang and Werner Ruehl},
  journal= {arXiv preprint arXiv:hep-th/9311046},
  year   = {2009}
}

Comments

16 pages, Latex. To appear in the Proceedings of the XXII Conference on Differential Methods in Theoretical Physics, Ixtapa, Mexico, September 20-24, 1993