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

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

1995-05-17

arxiv.org/abs/hep-lat/9505012v1

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

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 $\sigma$-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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