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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38968We compute moving eigenvalues and the eigenvectors of the linear renormalization group transformation for observables along the renormalized trajectory of the hierarchical non-linear $O(N)$-invariant $σ$-model by means of perturbation theory in the running coupling constant. Moving eigenvectors are defined as solutions to a Callan-Symanzik type equation.18 pages, latex, 2 epsfig figures appended as uuencoded fileHigh Energy Physics - LatticePerfect observables for the hierarchical non-linear $O(N)$-invariant $σ$-modeltext