Perfect observables for the hierarchical non-linear O(N)-invariant σ-model
C. Wieczerkowski, Y. Xylander
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)-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.
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