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)
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.