98-250 Faria da Veiga P.A., O'Carroll M., Schor R.

On the Large Distance Behavior of Correlations for a Hierarchical $N$ Component Classical Vector Model in Three Dimensions (30K, LATeX 2e) Apr 1, 98

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Abstract. We consider the correlation functions for a hierarchical $N$-component classical vector model in three dimensions. For $N=\infi$, we find explicitly the eigenvalues and global eigenfunctions of the linearized renormalization group transformation. In a very direct way, this yields to the correlation functions for the $N=\infi$ model. In particular, we check that the two-point function has canonical decay.

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