English

The minimal conformal O(N) vector sigma model at d=3

High Energy Physics - Theory 2008-11-26 v1

Abstract

For the minimal O(N) sigma model, which is defined to be generated by the O(N) scalar auxiliary field alone, all n-point functions, till order 1/N included, can be expressed by elementary functions without logarithms. Consequently, the conformal composite fields of m auxiliary fields possess at the same order such dimensions, which are m times the dimension of the auxiliary field plus the order of differentiation.

Keywords

Cite

@article{arxiv.hep-th/0308111,
  title  = {The minimal conformal O(N) vector sigma model at d=3},
  author = {Thorsten Leonhardt and Werner Ruehl},
  journal= {arXiv preprint arXiv:hep-th/0308111},
  year   = {2008}
}

Comments

15 pages

R2 v1 2026-07-22T15:18:41.434Z