English

Perfect observables for the hierarchical non-linear $O(N)$-invariant $\sigma$-model

High Energy Physics - Lattice 2007-05-23 v1

Abstract

We compute moving eigenvalues and the eigenvectors of the linear renormalization group transformation for observables along the renormalized trajectory of the hierarchical non-linear O(N)O(N)-invariant σ\sigma-model by means of perturbation theory in the running coupling constant. Moving eigenvectors are defined as solutions to a Callan-Symanzik type equation.

Keywords

Cite

@article{arxiv.hep-lat/9505012,
  title  = {Perfect observables for the hierarchical non-linear $O(N)$-invariant $\sigma$-model},
  author = {C. Wieczerkowski and Y. Xylander},
  journal= {arXiv preprint arXiv:hep-lat/9505012},
  year   = {2007}
}

Comments

18 pages, latex, 2 epsfig figures appended as uuencoded file