Abstract
We consider the correlation functions for a hierarchical N-component classical vector model in three dimensions. For N = ∞, we find explicitly the eigenvalues and global eigenfunctions of the linearized renormalization group transformation. In a very direct way, this yields the correlation functions for the N = ∞ model. In particular, we check that the two-point function has canonical decay.
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da Veiga, P.A.F., O'Carroll, M. & Schor, R. On the Large-Distance Behavior of Correlations for a Hierarchical N-Component Classical Vector Model in Three Dimensions. Journal of Statistical Physics 92, 47–55 (1998). https://doi.org/10.1023/A:1023091418328
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DOI: https://doi.org/10.1023/A:1023091418328