Faria da Veiga P.A., O'CarroIl M., Schor R. — On the Large-Distance Behavior of Correlations for a Hierarchical N-Component Classical Vector Model in Three Dimensions
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Название: On the Large-Distance Behavior of Correlations for a Hierarchical N-Component Classical Vector Model in Three Dimensions
Авторы: Faria da Veiga P.A., O'CarroIl M., Schor R.
Аннотация:
Journal of Statistical Physics, Vol. 92, Nos. 1/2, 1998. p. 47-55.
We consider the correlation functions for a hierarchical N-component classical vector model in three dimensions. For N=oo, 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=oo model. In particular, we check that the two-point function has canonical decay.