Spohn H., Zwerger W. Decay of the Two-Point Function in One-Dimensional O(N) Spin Models with Long Range Interactions (15K, LaTex) ABSTRACT. Using Griffiths and Lieb-Simon type inequalities, it is shown that the two-point function of ferromagnetic spin models with N components in one dimension decays like the interaction provided that N=1,2,3,4 and T > T_c.